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Pseudo-Differential Operators and Generalized Functions 2015 ed. [Kietas viršelis]

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  • Formatas: Hardback, 290 pages, aukštis x plotis: 235x155 mm, weight: 5738 g, 3 Illustrations, color; 2 Illustrations, black and white; VIII, 290 p. 5 illus., 3 illus. in color., 1 Hardback
  • Serija: Operator Theory: Advances and Applications 245
  • Išleidimo metai: 08-May-2015
  • Leidėjas: Birkhauser Verlag AG
  • ISBN-10: 3319146173
  • ISBN-13: 9783319146171
  • Formatas: Hardback, 290 pages, aukštis x plotis: 235x155 mm, weight: 5738 g, 3 Illustrations, color; 2 Illustrations, black and white; VIII, 290 p. 5 illus., 3 illus. in color., 1 Hardback
  • Serija: Operator Theory: Advances and Applications 245
  • Išleidimo metai: 08-May-2015
  • Leidėjas: Birkhauser Verlag AG
  • ISBN-10: 3319146173
  • ISBN-13: 9783319146171

The present volume consists of 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), on occasion of his 60th birthday. The collection has been 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. Containing both essays and research articles, the book will be of great interest to graduate students and researchers in analysis, PDE and mathematical physics. It is also a valuable complement to the volumes on this topic previously published in the OT series.

Preface vii
A Class of Fourier Integral Operators on Manifolds with Boundary
1(20)
U. Battisti
S. Coriasco
E. Schrohe
The Problem of Iterates in Some Classes of Ultradifferentiable Functions
21(14)
C. Boiti
D. Jornet
On Asymptotically Almost Periodic Generalized Solutions of Differential Equations
35(10)
C. Bouzar
M. T. Khalladi
Gabor Wave Packets and Evolution Operators
45(16)
E. Cordero
F. Nicola
L. Rodino
A Weighted Version of Wiener's Lemma in p-normed Algebras for 0 < p ≤ 1
61(6)
H. Fredriksson
Time-Frequency Initial Value Problems for Random MIMO Systems
67(12)
L. Galleani
Microlocal Regularity of Besov Type for Solutions to Quasi-elliptic Nonlinear Partial Differential Equations
79(16)
G. Garello
A. Morando
Gelfand--Shilov Type Spaces Through Hermite Expansions
95(12)
T. Gramchev
A. Lecke
S. Pilipovic
L. Rodino
Cauchy Problem for Second-order Hyperbolic Equations for Shubin Pseudodifferential Operators
107(12)
T. Gramchev
G. Tranquilli
A Regularization Approach to Non-smooth Symplectic Geometry
119(14)
G. Hormann
S. Konjik
M. Kunzinger
Equivalent Conditions for Integrability of Distributions
133(16)
S. Mincheva-Kaminska
Time-periodic Second-order Hyperbolic Equations: Fredholmness, Regularity, and Smooth Dependence
149(36)
I. Kmit
L. Recke
The Ridgelet Transform and Quasiasymptotic Behavior of Distributions
185(14)
S. Kostadinova
S. Pilipovic
K. Saneva
J. Vindas
Equations Involving Malliavin Derivative: A Chaos Expansion Approach
199(18)
T. Levajkovic
H. Mena
Generalized and Classical Solutions to a Characteristic Cauchy Problem with Hormander Hypotheses
217(14)
J.-A. Marti
On Generalized Solutions to Stochastic Systems
231(12)
I.V. Melnikova
U.A. Alekseeva
Geodesic Completeness of Generalized Space-times
243(12)
C. Samann
R. Steinbauer
Gabor Analysis for a Broad Class of Quasi-Banach Modulation Spaces
255(30)
J. Toft
Spectral Analysis of Daubechies Localization Operators
285
K. Yoshino