On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces. [PDF]
, 2020 In this article, we examine the geometry of a group of Fourier-integral operators, which is the central extension of Dif f (S 1) with a group of classical pseudo-differential operators of any order.
Jean-Pierre Magnot
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SPECTRAL INVARIANCE FOR CERTAIN ALGEBRAS OF PSEUDODIFFERENTIAL OPERATORS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2001 We construct algebras of pseudodifferential operators on a continuous family groupoid $\mathcal{G}$ that are closed under holomorphic functional calculus, contain the algebra of all pseudodifferential operators of order 0 on $\mathcal{G}$ as a dense ...
R. Lauter +2 more
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On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets [PDF]
, 2005 Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalized delta functional and operator kernels as elements of dual spaces.
Claudia Garetto, G. Hörmann
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Almost Diagonalization of $\Psi$DO’s Over Various Generalized Function Spaces [PDF]
Sarajevo Journal of MathematicsInductive and projective type sequence spaces of sub- and super-exponential growth, and the corresponding inductive and projective limits of modulation spaces are considered as a framework for almost diagonalization of pseudo-differential operators ...
Stevan Pilipovi'c +2 more
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Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups
, 2013 In this paper we prove a version of the Gohberg lemma on compact Lie groups giving an estimate from below for the distance from a given operator to the set of compact operators on compact Lie groups.
Dasgupta, Aparajita, Ruzhansky, Michael
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A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
, 2009 We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space.
Feichtinger H. G. +9 more
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Trace Hardy--Sobolev--Mazy'a inequalities for the half fractional Laplacian [PDF]
, 2014 In this work we establish trace Hardy-Sobolev-Maz'ya inequalities with best Hardy constants, for weakly mean convex domains. We accomplish this by obtaining a new weighted Hardy type estimate which is of independent inerest. We then produce Hardy-Sobolev-
Filippas, Stathis +2 more
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Fractional Sobolev and Hardy-Littlewood-Sobolev inequalities [PDF]
, 2014 This work focuses on an improved fractional Sobolev inequality with a remainder term involving the Hardy-Littlewood-Sobolev inequality which has been proved recently. By extending a recent result on the standard Laplacian to the fractional case, we offer
Jankowiak, Gaspard, Nguyen, Van Hoang
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On Multi-Dimensional Random Walk Models Approximating Symmetric Space-Fractional Diffusion Processes [PDF]
, 2005 Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.In this paper the multi-dimensional analog of the Gillis-Weiss random walk model is studied.
Gorenflo, Rudolf, Umarov, Sabir
core
Rigidity results for some boundary quasilinear phase transitions
, 2008 We consider a quasilinear equation given in the half-space, i.e. a so called boundary reaction problem. Our concerns are a geometric Poincar\'e inequality and, as a byproduct of this inequality, a result on the symmetry of low-dimensional bounded stable ...
Sire, Yannick, Valdinoci, Enrico
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