Subjects -> PHYSICS (Total: 857 journals)
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PHYSICS (625 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 741 Journals sorted alphabetically
Acta Acustica     Open Access   (Followers: 4)
Acta Mechanica     Hybrid Journal   (Followers: 22)
Acta Scientifica Naturalis     Open Access   (Followers: 2)
Advanced Composite Materials     Hybrid Journal   (Followers: 75)
Advanced Electronic Materials     Hybrid Journal   (Followers: 7)
Advanced Functional Materials     Hybrid Journal   (Followers: 71)
Advanced Materials     Hybrid Journal   (Followers: 256)
Advanced Quantum Technologies     Hybrid Journal   (Followers: 3)
Advanced Science Focus     Free   (Followers: 6)
Advanced Structural and Chemical Imaging     Open Access   (Followers: 2)
Advanced Theory and Simulations     Hybrid Journal   (Followers: 2)
Advances in Clinical Radiology     Full-text available via subscription   (Followers: 4)
Advances in Condensed Matter Physics     Open Access   (Followers: 5)
Advances in Geophysics     Full-text available via subscription   (Followers: 7)
Advances in High Energy Physics     Open Access   (Followers: 23)
Advances in Imaging and Electron Physics     Full-text available via subscription   (Followers: 4)
Advances in Materials Physics and Chemistry     Open Access   (Followers: 33)
Advances in Natural Sciences : Nanoscience and Nanotechnology     Open Access   (Followers: 28)
Advances in OptoElectronics     Open Access   (Followers: 6)
Advances In Physics     Hybrid Journal   (Followers: 29)
Advances in Physics : X     Open Access   (Followers: 4)
Advances in Physics Theories and Applications     Open Access   (Followers: 12)
Advances in Remote Sensing     Open Access   (Followers: 59)
Aggregate     Open Access   (Followers: 2)
AIP Advances     Open Access   (Followers: 7)
AIP Conference Proceedings     Full-text available via subscription   (Followers: 2)
American Journal of Condensed Matter Physics     Open Access   (Followers: 7)
American Journal of Signal Processing     Open Access   (Followers: 14)
Anales (Asociación Física Argentina)     Open Access  
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 9)
Annalen der Physik     Hybrid Journal   (Followers: 5)
Annales Geophysicae (ANGEO)     Open Access   (Followers: 21)
Annales Henri Poincaré     Hybrid Journal   (Followers: 2)
Annals of Nuclear Medicine     Hybrid Journal   (Followers: 6)
Annals of Physics     Hybrid Journal   (Followers: 7)
Annals of West University of Timisoara - Physics     Open Access   (Followers: 1)
Annual Reports on NMR Spectroscopy     Full-text available via subscription   (Followers: 4)
Annual Review of Analytical Chemistry     Full-text available via subscription   (Followers: 12)
Annual Review of Condensed Matter Physics     Full-text available via subscription   (Followers: 3)
Annual Review of Materials Research     Full-text available via subscription   (Followers: 8)
APL Materials     Open Access   (Followers: 12)
Applied Composite Materials     Hybrid Journal   (Followers: 54)
Applied Mathematics and Physics     Open Access   (Followers: 2)
Applied Physics A     Hybrid Journal   (Followers: 15)
Applied Physics Frontier     Open Access   (Followers: 2)
Applied Physics Letters     Hybrid Journal   (Followers: 44)
Applied Physics Research     Open Access   (Followers: 5)
Applied Physics Reviews     Hybrid Journal   (Followers: 11)
Applied Radiation and Isotopes     Hybrid Journal   (Followers: 4)
Applied Spectroscopy     Full-text available via subscription   (Followers: 24)
Applied Spectroscopy Reviews     Hybrid Journal   (Followers: 4)
Archive for Rational Mechanics and Analysis     Hybrid Journal   (Followers: 1)
Asia Pacific Physics Newsletter     Hybrid Journal   (Followers: 1)
Asian Journal of Physical and Chemical Sciences     Open Access   (Followers: 2)
ASTRA Proceedings     Open Access   (Followers: 3)
Astronomy & Geophysics     Hybrid Journal   (Followers: 49)
Astronomy and Astrophysics Review     Hybrid Journal   (Followers: 39)
Atoms     Open Access   (Followers: 1)
Attention, Perception & Psychophysics     Full-text available via subscription   (Followers: 15)
Axioms     Open Access   (Followers: 1)
Bangladesh Journal of Medical Physics     Open Access  
Bauphysik     Hybrid Journal   (Followers: 1)
Biomaterials     Hybrid Journal   (Followers: 55)
Biomedical Imaging and Intervention Journal     Open Access   (Followers: 5)
Biophysical Reviews     Hybrid Journal   (Followers: 2)
Biophysical Reviews and Letters     Hybrid Journal   (Followers: 5)
BJR|Open     Open Access  
Boson Journal of Modern Physics     Open Access   (Followers: 9)
Brazilian Journal of Physics     Hybrid Journal  
Bulletin of Materials Science     Open Access   (Followers: 43)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Atomic Scientists     Hybrid Journal   (Followers: 7)
Bulletin of the Lebedev Physics Institute     Hybrid Journal  
Bulletin of the Russian Academy of Sciences: Physics     Hybrid Journal   (Followers: 1)
Caderno Brasileiro de Ensino de Física     Open Access  
Canadian Journal of Physics     Hybrid Journal   (Followers: 11)
Cell Reports Physical Science     Open Access  
Cells     Open Access   (Followers: 2)
CERN courier. International journal of high energy physics     Free   (Followers: 8)
Chemical Physics Impact     Full-text available via subscription  
ChemPhysMater     Full-text available via subscription  
Chinese Journal of Chemical Physics     Hybrid Journal   (Followers: 1)
Chinese Journal of Physics     Hybrid Journal   (Followers: 1)
Ciencia     Open Access  
Clinical Spectroscopy     Open Access   (Followers: 1)
Cogent Physics     Open Access  
Colloid Journal     Hybrid Journal   (Followers: 2)
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications in Numerical Methods in Engineering     Hybrid Journal   (Followers: 2)
Communications Materials     Open Access  
Communications Physics     Open Access  
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Composites Part A : Applied Science and Manufacturing     Hybrid Journal   (Followers: 176)
Composites Part B : Engineering     Hybrid Journal   (Followers: 221)
Composites Part C : Open Access     Open Access   (Followers: 2)
Computational Astrophysics and Cosmology     Open Access   (Followers: 6)
Computational Condensed Matter     Open Access   (Followers: 1)
Computational Materials Science     Hybrid Journal   (Followers: 25)
Computational Mathematics and Mathematical Physics     Hybrid Journal   (Followers: 5)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computer Physics Communications     Hybrid Journal   (Followers: 9)
Condensed Matter     Open Access   (Followers: 2)
Contemporary Physics     Hybrid Journal   (Followers: 26)
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 8)
Contributions to Plasma Physics     Hybrid Journal   (Followers: 3)
Cryogenics     Hybrid Journal   (Followers: 61)
Current Applied Physics     Full-text available via subscription   (Followers: 4)
Current Science     Open Access   (Followers: 116)
Diagnostic and Interventional Imaging     Full-text available via subscription  
Diamond and Related Materials     Hybrid Journal   (Followers: 10)
Discrete and Continuous Models and Applied Computational Science     Open Access  
Doklady Physics     Hybrid Journal   (Followers: 1)
e-Boletim da Física     Open Access  
East European Journal of Physics     Open Access   (Followers: 1)
Edufisika : Jurnal Pendidikan Fisika     Open Access  
EDUSAINS     Open Access  
Egyptian Journal of Remote Sensing and Space Science     Open Access   (Followers: 25)
EJNMMI Physics     Open Access  
Emergent Scientist     Open Access  
Engineering Failure Analysis     Hybrid Journal   (Followers: 68)
Engineering Fracture Mechanics     Hybrid Journal   (Followers: 24)
Environmental Fluid Mechanics     Hybrid Journal   (Followers: 11)
EPJ Quantum Technology     Open Access   (Followers: 2)
EPJ Techniques and Instrumentation     Open Access  
EPJ Web of Conferences     Open Access   (Followers: 1)
EUREKA : Physics and Engineering     Open Access  
European Physical Journal - Applied Physics     Full-text available via subscription   (Followers: 19)
European Physical Journal C     Hybrid Journal   (Followers: 2)
Europhysics News     Open Access  
Experimental and Computational Multiphase Flow     Hybrid Journal  
Experimental Mechanics     Hybrid Journal   (Followers: 21)
Experimental Techniques     Hybrid Journal   (Followers: 51)
Exploration Geophysics     Hybrid Journal   (Followers: 4)
Few-Body Systems     Hybrid Journal   (Followers: 1)
Fire and Materials     Hybrid Journal   (Followers: 5)
FirePhysChem     Open Access  
Flexible Services and Manufacturing Journal     Hybrid Journal   (Followers: 2)
Fluctuation and Noise Letters     Hybrid Journal  
Fluid Dynamics     Hybrid Journal   (Followers: 27)
Fortschritte der Physik/Progress of Physics     Hybrid Journal  
Frontiers in Nanotechnology     Open Access   (Followers: 1)
Frontiers in Physics     Open Access   (Followers: 6)
Frontiers of Materials Science     Hybrid Journal   (Followers: 5)
Frontiers of Physics     Hybrid Journal   (Followers: 2)
Fusion Engineering and Design     Hybrid Journal   (Followers: 6)
Geochemistry, Geophysics, Geosystems     Full-text available via subscription   (Followers: 35)
Geografiska Annaler, Series A : Physical Geography     Hybrid Journal   (Followers: 4)
Geophysical Research Letters     Full-text available via subscription   (Followers: 162)
Giant     Open Access  
Glass Physics and Chemistry     Hybrid Journal   (Followers: 1)
Granular Matter     Hybrid Journal  
Graphs and Combinatorics     Hybrid Journal   (Followers: 4)
Gravitation and Cosmology     Hybrid Journal   (Followers: 6)
Heat Transfer - Asian Research     Hybrid Journal   (Followers: 10)
High Energy Density Physics     Hybrid Journal   (Followers: 3)
High Pressure Research: An International Journal     Hybrid Journal   (Followers: 3)
Himalayan Physics     Open Access   (Followers: 1)
IEEE Embedded Systems Letters     Hybrid Journal   (Followers: 60)
IEEE Journal of Quantum Electronics     Hybrid Journal   (Followers: 19)
IEEE Journal on Multiscale and Multiphysics Computational Techniques     Hybrid Journal  
IEEE Magnetics Letters     Hybrid Journal   (Followers: 7)
IEEE Nanotechnology Magazine     Hybrid Journal   (Followers: 45)
IEEE Reviews in Biomedical Engineering     Hybrid Journal   (Followers: 19)
IEEE Signal Processing Magazine     Full-text available via subscription   (Followers: 98)
IEEE Solid-State Circuits Magazine     Hybrid Journal   (Followers: 11)
IEEE Transactions on Autonomous Mental Development     Hybrid Journal   (Followers: 8)
IEEE Transactions on Biomedical Engineering     Hybrid Journal   (Followers: 35)
IEEE Transactions on Broadcasting     Hybrid Journal   (Followers: 11)
IEEE Transactions on Geoscience and Remote Sensing     Hybrid Journal   (Followers: 175)
IEEE Transactions on Haptics     Hybrid Journal   (Followers: 4)
IEEE Transactions on Industrial Electronics     Hybrid Journal   (Followers: 85)
IEEE Transactions on Industry Applications     Hybrid Journal   (Followers: 57)
IEEE Transactions on Learning Technologies     Full-text available via subscription   (Followers: 12)
IEEE Transactions on Quantum Engineering     Open Access   (Followers: 3)
IEEE Transactions on Services Computing     Hybrid Journal   (Followers: 5)
IEEE Transactions on Software Engineering     Hybrid Journal   (Followers: 84)
IEEE Women in Engineering Magazine     Hybrid Journal   (Followers: 11)
IEEE/OSA Journal of Optical Communications and Networking     Hybrid Journal   (Followers: 19)
IET Optoelectronics     Open Access   (Followers: 2)
Il Colle di Galileo     Open Access  
Image Analysis & Stereology     Open Access   (Followers: 1)
Imaging Science Journal     Hybrid Journal   (Followers: 3)
ImmunoInformatics     Open Access   (Followers: 1)
Indian Journal of Biochemistry and Biophysics (IJBB)     Open Access   (Followers: 3)
Indian Journal of Physics     Hybrid Journal   (Followers: 18)
Indian Journal of Pure & Applied Physics (IJPAP)     Open Access   (Followers: 36)
Indian Journal of Radio & Space Physics (IJRSP)     Open Access   (Followers: 49)
Infinite Dimensional Analysis, Quantum Probability and Related Topics     Hybrid Journal   (Followers: 1)
InfraMatics     Open Access  
Infrared Physics & Technology     Hybrid Journal   (Followers: 11)
Intelligent Transportation Systems Magazine, IEEE     Full-text available via subscription   (Followers: 12)
Intermetallics     Hybrid Journal   (Followers: 21)
International Applied Mechanics     Hybrid Journal   (Followers: 5)
International Heat Treatment and Surface Engineering     Hybrid Journal   (Followers: 5)
International Journal for Computational Methods in Engineering Science and Mechanics     Hybrid Journal   (Followers: 13)
International Journal for Ion Mobility Spectrometry     Hybrid Journal   (Followers: 1)
International Journal for Simulation and Multidisciplinary Design Optimization     Open Access   (Followers: 5)
International Journal of Abrasive Technology     Hybrid Journal   (Followers: 2)
International Journal of Aeroacoustics     Hybrid Journal   (Followers: 37)
International Journal of Applied Electronics in Physics & Robotics     Open Access   (Followers: 3)

        1 2 3 4 | Last

Similar Journals
Journal Cover
Complex Analysis and its Synergies
Number of Followers: 2  

  This is an Open Access Journal Open Access journal
ISSN (Print) 2524-7581 - ISSN (Online) 2197-120X
Published by SpringerOpen Homepage  [228 journals]
  • On weighted Bergman spaces of a domain with Levi-flat boundary II

    • Abstract: Abstract Holomorphic functions on the maximal Grauert tube of a hyperbolic compact Riemann surface are studied. It is shown that their weighted Bergman spaces are infinite dimensional for arbitrary weight order greater than \(-1\) in spite of the fact that they do not admit any non-constant bounded holomorphic functions. The key ingredient of the proof is a computation of weighted norms of analytic continuations of eigenfunctions of the Laplacian in terms of the hypergeometric function. This result complements our previous work (Adachi in Trans Am Math Soc 374(10):7499–7524, 2021) where it was shown that the space of geodesic segments on the Riemann surface has exactly the same property.
      PubDate: 2022-04-16
       
  • The Hodge star operator and the Beltrami equation

    • Abstract: Abstract An essentially unique homeomorphic solution to the Beltrami equation with measurable coefficients was found in the 1930s by Morrey. The most well-known proof from the 1960s uses the theory of Calderón–Zygmund and singular integral operators in \(L^p(\mathbb {C})\) . We will present an alternative method to solve the Beltrami equation using the Hodge star operator and standard elliptic PDE theory. We will also discuss a different method to prove the regularity of the solution. This approach is partially based on work by Dittmar.
      PubDate: 2022-04-12
       
  • Symmetries, rational sphere maps, and complete polynomial sequences

    • Abstract: Abstract We consider the set S of possible target dimensions for rational sphere maps whose Hermitian-invariant group is the unitary group. In each source dimension, we show that S is co-finite by applying a classical theorem of Ron Graham on complete polynomial sequences. We establish several results, some computer assisted, finding the largest exceptional value. We close by posing a purely number-theoretic question about these exceptional values.
      PubDate: 2022-03-09
       
  • Subharmonic functions, conformal metrics, and CAT(0)

    • Abstract: Abstract We present an analytical proof that certain natural metric universal covers are Hadamard metric spaces. If \(\rho \,\mathrm{{d}}s\) induces a complete distance d on a plane domain \(\Omega \) , and \(\rho =\varphi \circ u\) where u is (locally Lipschitz and) subharmonic in \(\Omega \) , \(\varphi \) is positive and increasing on an interval containing \(u(\Omega )\) with \(\log \varphi \) convex, then \((\Omega ,d)\) has a universal cover \(({\tilde{\Omega }},{\tilde{d}})\) which is a Hadamard metric space (with geodesics that have Lipschitz continuous first derivatives).
      PubDate: 2022-02-16
       
  • The fundamental solutions of the curve shortening problem via the Schwarz
           function

    • Abstract: Abstract Curve shortening in the z-plane in which, at a given point on the curve, the normal velocity of the curve is equal to the curvature, is shown to satisfy \(S_tS_z=S_{zz}\) , where S(z, t) is the Schwarz function of the curve. This equation is shown to have a parametric solution from which the known explicit solutions for curve shortening flow; the circle, grim reaper, paperclip and hairclip, can be recovered.
      PubDate: 2022-02-15
       
  • A Tauberian approach to an analog of Weyl’s law for the Kohn Laplacian
           on compact Heisenberg manifolds

    • Abstract: Abstract Let \(M= \Gamma \setminus \mathbb {H}_d\) be a compact quotient of the d-dimensional Heisenberg group \(\mathbb {H}_d\) by a lattice subgroup \(\Gamma \) . We show that the eigenvalue counting function \(N^\alpha \left( \lambda \right) \) for any fixed element of a family of second order differential operators \(\left\{ \mathcal {L}_\alpha \right\} \) on M has asymptotic behavior \(N^\alpha \left( \lambda \right) \sim C_{d,\alpha } {\text {vol}}\left( M\right) \lambda ^{d + 1}\) , where \(C_{d,\alpha }\) is a constant that only depends on the dimension d and the parameter \(\alpha \) . As a consequence, we obtain an analog of Weyl’s law (both on functions and forms) for the Kohn Laplacian on M. Our main tools are Folland’s description of the spectrum of \({\mathcal {L}}_{\alpha }\) and Karamata’s Tauberian theorem.
      PubDate: 2022-02-14
       
  • Intrinsic metrics in ring domains

    • Abstract: Abstract Three hyperbolic-type metrics including the triangular ratio metric, the \(j^*\) -metric, and the Möbius metric are studied in an annular ring. The Euclidean midpoint rotation is introduced as a method to create upper and lower bounds for these metrics, and their sharp inequalities are found. A new Möbius-invariant lower bound is proved for the conformal capacity of a general ring domain by using a symmetric quantity defined with the Möbius metric.
      PubDate: 2022-02-07
       
  • Complex solutions to Maxwell’s equations

    • Abstract: Abstract This expository paper provides a view of Maxwell’s equations from the perspective of complex differential forms and the Hodge star operator in \(\mathbb {C}^2\) with respect to the Euclidean and the Minkowski metrics. The electric field and the magnetic field are complex 3-dimensional in this case. The paper shows that holomorphic functions naturally give rise to nontrivial solutions to the equations. A simple necessary and sufficient condition regarding wavelike solutions to the equations is also obtained. In the end, the paper gives an interpretation of the Lorenz gauge condition in terms of the co-differential operator.
      PubDate: 2022-02-05
       
  • A property of the spherical derivative of an entire curve in complex
           projective space

    • Abstract: Abstract We establish a type of the Picard’s theorem for entire curves in \(P^n({\mathbb {C}})\) whose spherical derivative vanishes on the inverse images of hypersurface targets. Then, as a corollary, we prove that there is an union D of finite number of hypersurfaces in the complex projective space \(P^n({\mathbb {C}})\) such that for every entire curve f in \(P^n({\mathbb {C}})\) , if the spherical derivative \(f^{\#}\) of f is bounded on \( f^{-1}(D)\) , then \(f^{\#}\) is bounded on the entire complex plane, and hence, f is a Brody curve.
      PubDate: 2022-01-19
       
  • Polyanalytic reproducing kernels in $$\mathbb {C}^n$$ C n

    • Abstract: Abstract In this note we establish integral formulas for polyanalytic functions in several variables. More precisely, given a positive integer q, we provide explicit expressions for the reproducing kernels of the weighted Bergman spaces of q-analytic functions on the unit ball in \(\mathbb {C}^n\) and that of q-analytic Fock space in \(\mathbb {C}^n\) .
      PubDate: 2021-10-07
       
  • Non-variational extrema of exponential Teichmüller spaces

    • Abstract: Abstract The exponential Teichmüller spaces \(E_p\) , \(0\le p \le \infty\) , interpolate between the classical Teichmüller space ( \(p=\infty\) ) and the space of harmonic diffeomorphisms \((p=0)\) . In this article, we prove the existence of non-variational critical points for the associated functional: mappings f of the disk whose distortion is p-exponentially integrable, \(0<p<\infty\) , yet for any diffeomorphism g(z) of \({\mathbb {D}}\) with \(g \partial {\mathbb {D}}=identity\) and \(g\ne identity\) we have \(f\circ g\) is not of p-exponentially integrable distortion.
      PubDate: 2021-08-06
       
  • Quasiregular curves: Hölder continuity and higher integrability

    • Abstract: Abstract We show that a K-quasiregular \(\omega\) -curve from a Euclidean domain to a Euclidean space with respect to a covector \(\omega\) is locally \((1/K)(\Vert \omega \Vert / \omega _{\ell _1})\) -Hölder continuous. We also show that quasiregular curves enjoy higher integrability.
      PubDate: 2021-07-22
       
  • Compact homogeneous Leviflat CR-manifolds

    • Abstract: Abstract We consider compact Leviflat homogeneous Cauchy–Riemann (CR) manifolds. In this setting, the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context and then combine the projective and parallelizable cases. In codimensions one and two, we also give a classification.
      PubDate: 2021-07-15
       
  • On an invariant distance induced by the Szegő Kernel

    • Abstract: Abstract In this paper we introduce a new distance by means of the so-called Szegő kernel and examine some basic properties and its relationship with the so-called Skwarczyński distance. We also examine the relationship between this distance, and the so-called Bergman distance and Szegő distance.
      PubDate: 2021-07-13
       
  • Left-invariant CR structures on 3-dimensional Lie groups

    • Abstract: Abstract The systematic study of CR manifolds originated in two pioneering 1932 papers of Élie Cartan. In the first, Cartan classifies all homogeneous CR 3-manifolds, the most well-known case of which is a one-parameter family of left-invariant CR structures on \(\mathrm {SU}_2= S^3\) , deforming the standard ‘spherical’ structure. In this paper, mostly expository, we illustrate and clarify Cartan’s results and methods by providing detailed classification results in modern language for four 3-dimensional Lie groups. In particular, we find that \({\mathrm {SL}_2({\mathbb {R}})}\) admits two one-parameter families of left-invariant CR structures, called the elliptic and hyperbolic families, characterized by the incidence of the contact distribution with the null cone of the Killing metric. Low dimensional complex representations of \({\mathrm {SL}_2({\mathbb {R}})}\) provide CR embedding or immersions of these structures. The same methods apply to all other 3-dimensional Lie groups and are illustrated by descriptions of the left-invariant CR structures for \(\mathrm {SU}_2\) , the Heisenberg group, and the Euclidean group.
      PubDate: 2021-06-25
       
  • Pekka Koskela

    • PubDate: 2021-06-16
       
  • The distribution of radial eigenvalues of the Euclidean Laplacian on
           homogeneous isotropic trees

    • Abstract: Abstract Let \(\Omega\) be a bounded open subset of \({\mathbb {R}}^n\) and \(\Delta\) the Euclidean Laplace operator \(\sum _{i=1}^n \partial ^2/\partial x_i^2\) . Let \(\beta (x)\) denote the number of eigenvalues less or equal to x with respect to the eigenvalue problem \(\Delta f = -x f\) on \(\Omega\) with \(f=0\) on the boundary of \(\Omega\) . A well-known result due to Hermann Weyl gives the asymptotic formula \(\beta (x)= (2 \pi )^{-n} B_n m_n(\Omega ) x^{n/2}+ o(x^{n/2})\) as \(x\rightarrow \infty\) , where \(B_n\) is the volume of the unit ball in \({\mathbb {R}}^n\) and \(m_n(\Omega )\) is the volume of \(\Omega\) . In this work, we consider the analogous problem for radial functions in the discrete setting of the homogeneous isotropic tree T of homogeneity \(q+1\) ( \(q\ge 2\) ). As the volume of T with respect to the hyperbolic metric is infinite, we don’t expect and indeed we show that there is no analogous result for the commonly used hyperbolic Laplacian on T. We consider instead the eigenvalue problem for radial functions on T with respect to the Euclidean Laplacian on T introduced in [6], where the boundary condition \(f=0\) means that f converges radially to 0 at \(\infty\) . We prove that \(\beta (x)\) is within 2 of \(\log _q \sqrt{x}\) . We also consider other boundary conditions and pose some open questions.
      PubDate: 2021-06-10
       
  • Some recent results on the geometry of complex polynomials: the
           Gauss–Lucas theorem, polynomial lemniscates, shape analysis, and
           conformal equivalence

    • Abstract: Abstract In this article, we survey the recent literature surrounding the geometry of complex polynomials. Specific areas surveyed are (i) Generalizations of the Gauss–Lucas Theorem, (ii) Geometry of Polynomials Level Sets, and (iii) Shape Analysis and Conformal Equivalence.
      PubDate: 2021-05-17
       
  • Universal Taylor series on products of planar domains

    • Abstract: Abstract Using a recent Mergelyan type theorem for products of planar compact sets, we establish generic existence of universal Taylor series on products of planar simply connected domains \({\varOmega }_i\) , \(i=1,\ldots ,d\) . The universal approximation is realized by partial sums of the Taylor development of the universal function on products of planar compact sets \(K_i\) , \(i=1,\ldots ,d\) such that \({\mathbb {C}}-K_i\) is connected and for at least one \(i_0\) the set \(K_{i_0}\) is disjoint from \({\varOmega }_{i_0}\) .
      PubDate: 2021-05-15
       
  • On the angular boundary values of subharmonic functions in the unit disc

    • Abstract: Abstract For a subharmonic function defined in the unit disc, we consider the relation between angular boundary value, angular cluster set, and “angular normality” at a point of the unit circle.
      PubDate: 2021-04-30
       
 
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