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Pseudo-Differential Operators and Generalized Functions de Stevan Pilipović

Pseudo-Differential Operators and Generalized Functions: Operator Theory: Advances and Applications, cartea 245

Editat de Stevan Pilipović, Joachim Toft
en Limba Engleză Hardback – 8 mai 2015
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.
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Specificații

ISBN-13: 9783319146171
ISBN-10: 3319146173
Pagini: 350
Ilustrații: VIII, 290 p. 5 illus., 3 illus. in color.
Dimensiuni: 155 x 235 x 23 mm
Greutate: 0.59 kg
Ediția:2015
Editura: Springer International Publishing
Colecția Birkhäuser
Seriile Operator Theory: Advances and Applications, Advances in Partial Differential Equations

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Offers a strong stimulus for the further development of the fields covered Provides a variety of applications, especially in the contexts of generalized manifolds, microlocal analysis and the analysis of equations with singularities Presents a valuable complement to its predecessors published in the OT series Includes supplementary material: sn.pub/extras