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El. knyga: Generalized Functions and Fourier Analysis: Dedicated to Stevan Pilipovic on the Occasion of his 65th Birthday

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This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.

The book is dedicated to Prof Stevan Pilipovic (Novi Sad University, Serbia) on the occasion of his 65th birthday.


Preface vii
On Temperate Distributions Decaying at Infinity
1(18)
A. Ascanelli
S. Coriasco
A. Suß
Transport in a Stochastic Goupillaud Medium
19(12)
F. Baumgartner
M. Oberguggenberger
M. Schwarz
Hilbert Space Embeddings for Gelfand--Shilov and Pilipovic Spaces
31(14)
Y. Chen
M. Signahl
J. Toft
Blow-up Phenomena for Solutions of Discrete Nonlinear p-Laplacian Parabolic Equations on Networks
45(14)
S.-Y. Chung
Generalized Function Algebras Containing Spaces of Periodic Ultradistributions
59(20)
A. Debrouwere
On General Prime Number Theorems with Remainder
79(16)
G. Debruyne
J. Vindas
Inverse Function Theorems for Generalized Smooth Functions
95(20)
P. Giordano
M. Kunzinger
The Stochastic LQR Optimal Control with Fractional Brownian Motion
115(38)
T. Levajkovic
H. Mena
A. Tuffaha
Multi-soliton Collision for Essentially Nonintegrable Equations
153(18)
G. Omel'yanov
Microlocal Solvability and Subellipticity of Several Classes of Pseudodifferential Operators with Involutive Characteristics
171(14)
P.R. Popivanov
An Observation of the Subspaces of S'
185(8)
Y. Sawano
Ultradifferentiable Functions of Class Mτ,σp and Microlocal Regularity
193(22)
N. Teofanov
F. Tomic
Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces
215(22)
J. Toft
An Application of Internal Objects to Microlocal Analysis in Generalized Function Algebras
237(16)
H. Vernaeve
Rotation Invariant Ultradistributions
253(16)
D. Vuckovic
J. Vindas
Eigenvalue Problems of Toeplitz Operators in Bargmann--Fock Spaces
269
K. Yoshino
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