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Pseudo-Differential Operators and Generalized Functions / edited by Stevan Pilipović, Joachim Toft
(Advances in Partial Differential Equations. ISSN:25043595 ; 245)

Edition 1st ed. 2015.
Publisher (Cham : Springer International Publishing : Imprint: Birkhäuser)
Year 2015
Language English
Size VIII, 290 p. 5 illus., 3 illus. in color : online resource
Authors Pilipović, Stevan editor
Toft, Joachim editor
SpringerLink (Online service)
Subjects LCSH:Topological groups
LCSH:Lie groups
LCSH:Functions of complex variables
LCSH:Differential equations
LCSH:Operator theory
LCSH:Harmonic analysis
LCSH:Functional analysis
FREE:Topological Groups and Lie Groups
FREE:Several Complex Variables and Analytic Spaces
FREE:Differential Equations
FREE:Operator Theory
FREE:Abstract Harmonic Analysis
FREE:Functional Analysis
Notes Preface -- U. Battisti, S. Coriasco and E. Schrohe: A Class of Fourier Integral Operators on Manifolds with Boundary -- C. Boiti and D. Jornet: The Problem of Iterates in Some Classes of Ultradifferentiable Functions -- C. Bouzar and M.T. Khalladi: On Asymptotically Almost Periodic Generalized Solutions of Differential Equations -- E. Cordero, F. Nicola and L. Rodino: Gabor Wave Packets and Evolution Operators -- H. Fredriksson: A Weighted Version of Wiener’s Lemma in p-normed Algebras for 0 < p ≤ 1 -- L. Galleani: Time-Frequency Initial Value Problems for Random MIMO Systems -- G. Garello and A. Morando: Microlocal Regularity of Besov Type for Solutions to Quasi-elliptic Nonlinear Partial Differential Equations -- T. Gramchev, A. Lecke, S. Pilipiovic and L. Rodino: Gelfand–Shilov Type Spaces Through Hermite Expansions -- T. Gramchev and G. Tranquilli: Cauchy Problem for Second-order Hyperbolic Equations for Shubin Pseudodifferential Operators -- G. Hörmann, S. Konjik and M. Kunzinger: A Regularization Approach to Non-smooth Symplectic Geometry -- S. Mincheva-Kaminska: Equivalent Conditions for Integrability of Distributions -- I. Kmit and L. Recke: Time-periodic Second-order Hyperbolic Equations: Fredholmness, Regularity, and Smooth Dependence -- S. Kostadinova, S. Pilipovic, K. Saneva and J. Vindas: The Ridgelet Transform and Quasiasymptotic Behavior of Distributions -- T. Levajkovic H. Mena: Equations Involving Malliavin Derivative:A Chaos Expansion Approach -- J.-A. Marti: Generalized and Classical Solutions to a Characteristic Cauchy Problem with Hörmander Hypotheses -- I.V. Melnikova and U.A. Alekseeva: On Generalized Solutions to Stochastic Systems -- C. Sämann and R. Steinbauer: Geodesic Completeness of Generalized Space-times -- J. Toft: Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces -- K. Yoshino:Spectral Analysis of Daubechies Localization Operators
This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential operators. It is dedicated to Professor Michael Oberguggenberger (Innsbruck University, Austria) in honour of his 60th birthday. The topics covered were suggested by the ISAAC Group in Generalized Functions (GF) and the ISAAC Group in Pseudo-Differential Operators (IGPDO), which met at the 9th ISAAC congress in Krakow, Poland in August 2013. Topics include Columbeau algebras, ultra-distributions, partial differential equations, micro-local analysis, harmonic analysis, global analysis, geometry, quantization, mathematical physics, and time-frequency analysis. Featuring both essays and research articles, the book will be of great interest to graduate students and researchers working in analysis, PDE and mathematical physics, while also offering a valuable complement to the volumes on this topic previously published in the OT series
HTTP:URL=https://doi.org/10.1007/978-3-319-14618-8
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Springer eBooks 9783319146188
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Material Type E-Book
Classification LCC:QA252.3
LCC:QA387
DC23:512.55
DC23:512,482
ID 4000119320
ISBN 9783319146188

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