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Book Cover
E-book
Author Carmichael, Richard D

Title Boundary values and convolution in ultradistribution spaces / Richard D. Carmichael, Andrzej Kamiński, Stevan Pilipović
Published Singapore ; Hackensack, NJ : World Scientific, ©2007

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Description 1 online resource (xii, 217 pages)
Series Series on analysis, applications and computation, 1793-4702 ; v. 1
Series on analysis, applications and computation ; v. 1. 1793-4702
Contents Cones in Rn and kernels -- Ultradifferentiable functions and ultradistributions -- Boundedness -- Cauchy and poisson integrals -- Boundary values of analytic functions -- Convolution of ultradistributions -- Integral transforms of tempered ultradistributions
Summary "This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructed and analyzed. The general theory of the representation of ultradistributions as boundary values of analytic functions is obtained and the recovery of the analytic functions as Cauchy, Fourier-Laplace, and Poisson integrals associated with the boundary value is proved." "Ultradistributions are useful in applications in quantum field theory, partial differential equations, convolution equations, harmonic analysis, pseudo-differential theory, time-frequency analysis, and other areas of analysis. Thus this book is of interest to users of ultradistributions in applications as well as to research mathematicians in areas of analysis."--Jacket
Bibliography Includes bibliographical references (pages 205-212) and index
Notes Print version record
Subject Theory of distributions (Functional analysis)
Mathematical analysis.
Boundary value problems.
Convolutions (Mathematics)
MATHEMATICS -- Functional Analysis.
Boundary value problems
Convolutions (Mathematics)
Mathematical analysis
Theory of distributions (Functional analysis)
Form Electronic book
Author Kamiński, Andrzej Józef
Pilipović, Stevan
ISBN 9789812708786
9812708782