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Similar Journals
 PRIMSJournal Prestige (SJR): 1.412 Citation Impact (citeScore): 1Number of Followers: 0      Subscription journal ISSN (Print) 0034-5318 - ISSN (Online) 1663-4926 Published by EMS Publishing House  [4 journals]
• The Core of an Extended Affine Lie Superalgebra (A Characterization)
(PRIMS 54.2)
• Authors: Rasul Aramian; Malihe Yousofzadeh
Abstract: Rasul Aramian, Malihe YousofzadehWe characterize a class of root graded Lie superalgebras containing a locally finite basic classical simple Lie superalgebra. As a by-product, we characterize the core and the core modulo the center of an extended affine Lie superalgebra whose root system is of finite type $X \neq A(m,n), B(m,n), BC(m,n),C(m,n).$
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• Inverse Scattering at Fixed Energy on Three-Dimensional Asymptotically
Hyperbolic Stäckel Manifolds (PRIMS 54.2)
• Authors: Damien Gobin
Abstract: Damien GobinIn this paper, we study an inverse scattering problem at fixed energy on three-dimensional asymptotically hyperbolic Stäckel manifolds having the topology of toric cylinders and satisfying the Robertson condition. On these manifolds the Helmholtz equation can be separated into a system of a radial ODE and two angular ODEs. We can thus decompose the full scattering operator into (...)
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• On the Cauchy Problem for Differential Operators with Double
Characteristics, A Transition from Non-effective to Effective
Characteristics (PRIMS 54.2)
• Authors: Tatsuo Nishitani
Abstract: Tatsuo NishitaniWe discuss the well-posedness of the Cauchy problem for hyperbolic operators with double characteristics which changes from non-effectively hyperbolic to effectively hyperbolic, on the double characterisitic manifold, across a submanifold of codimension 1. We assume that there is no bicharacteristic tangent to the double characteristic manifold and the spatial dimension is (...)
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• Eigenfunction of the Laplacian as a Degenerate Case of a Function with its
Fourier Transform Supported in an Annulus (PRIMS 54.2)
• Authors: Rudra Sarkar
Abstract: Rudra SarkarThe aim of this paper is to reach a characterization of the eigenfunction of the Laplace–Beltrami operator as a degenerate case of the inverse Paley–Wiener theorem (for functions whose Fourier transform is supported on a compact annulus) on the rank-1 Riemannian symmetric spaces of noncompact type. The most distinguished prototypes of these spaces are the hyperbolic spaces.
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• A Lemma for Microlocal Sheaf Theory in the $\infty$-Categorical Setting
(PRIMS 54.2)
• Authors: Marco Robalo; Pierre Schapira
Abstract: Marco Robalo, Pierre SchapiraThe microlocal sheaf theory of Kashiwara and Schapira (Sheaves on manifolds, Grundlehren der mathematischen Wissenschaften 292, Springer, Berlin, 1990) makes essential use of an extension lemma for sheaves due to Kashiwara, and this lemma is based on a criterion of the same author giving conditions in order that a functor defined in $\mathbb R^{\mathrm {op}}$ (...)
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• The Fourier Algebra of a Rigid $C^*$-Tensor Category (PRIMS 54.2)
• Authors: Yuki Arano; Tim de Laat, Jonas Wahl
Abstract: Yuki Arano, Tim de Laat, Jonas WahlCompletely positive and completely bounded mutlipliers on rigid $C^*$-tensor categories were introduced by Popa and Vaes. Using these notions, we define and study the Fourier–Stieltjes algebra, the Fourier algebra and the algebra of completely bounded multipliers of a rigid $C^*$-tensor category. The rich structure that these algebras have in the setting (...)
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• Regularity of a D-Module Along a Submanifold (PRIMS 54.2)
• Authors: Yves Laurent
Abstract: Yves LaurentWe study how regularity along a submanifold of a differential or microdifferential system can propagate from a family of submanifolds to another. The first result is that a microdifferential system regular along a Lagrangian foliation is regular. However, when restricted to a fixed submanifold the corresponding result is true only under a condition on the characteristic variety.
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• Erratum to Hodge Theory of the Middle Convolution (PRIMS 54.2)
• Authors: Michael Dettweiler; Claude Sabbah
Abstract: Michael Dettweiler, Claude SabbahWe give a correction to the statement of Theorem 3.2.3 of [2].
PubDate: Wed, 04 Apr 2018 23:30:01 +020

• Almost Sure Well-Posedness of Fractional Schrödinger Equations with
Hartree Nonlinearity (PRIMS 54.1)
• Authors: Gyeongha Hwang
Abstract: Gyeongha HwangWe consider a Cauchy problem of an energy-critical fractional Schrodinger equation with Hartree nonlinearity below the energy space. Using randomization of functions on $\mathbb R^d$ associated with the Wiener decomposition, we prove that the Cauchy problem is almost surely locally well posed. Our result includes the Hartree Schrodinger equation ($\alpha = 2$).
PubDate: Wed, 17 Jan 2018 23:40:04 +010

• A Look at the Inner Structure of the 2-adic Ring $C^*$‡-algebra and
Its Automorphism Groups (PRIMS 54.1)
• Authors: Valeriano Aiello; Roberto Conti, Stefano Rossi
Abstract: Valeriano Aiello, Roberto Conti, Stefano RossiWe undertake a systematic study of the so-called 2-adic ring $C^*$-algebra $\mathcal Q_2$. This is the universal $C^*$-algebra generated by a unitary $U$ and an isometry $S_2$ such that $S_2U=U^2S_2$ and $S_2S_2^*+US_2S_2^*U^*=1$. Notably, it contains a copy of the Cuntz algebra $\mathcal O_2=C^*(S_1, S_2)$ through the injective homomorphism (...)
PubDate: Wed, 17 Jan 2018 23:40:04 +010

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