Pseudo-Differential Operators and Generalized Functions -

Pseudo-Differential Operators and Generalized Functions

Buch | Softcover
VIII, 290 Seiten
2016 | 1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-38111-4 (ISBN)
53,49 inkl. MwSt
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.

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.

Erscheinungsdatum
Reihe/Serie Advances in Partial Differential Equations
Operator Theory: Advances and Applications
Zusatzinfo VIII, 290 p. 5 illus., 3 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik
Schlagworte Abstract harmonic analysis • asymptotics • Complex analysis, complex variables • Differential calculus and equations • distributions • equations of mathematical physics • Fourier integral operators • Functional Analysis • Functional analysis and transforms • Groups and group theory • Mathematics • mathematics and statistics • operator theory • Partial differential equations • pseudo-differential operators • Several Complex Variables and Analytic Spaces • Topological Groups, Lie Groups • wave fronts
ISBN-10 3-319-38111-3 / 3319381113
ISBN-13 978-3-319-38111-4 / 9783319381114
Zustand Neuware
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