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Boundary values and convolution in ultradistribution spaces /

"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 re...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Carmichael, Richard D.
Other Authors: Kamiński, Andrzej Józef, Pilipović, Stevan
Format: Electronic eBook
Language:Inglés
Published: Singapore ; Hackensack, NJ : World Scientific, ©2007.
Series:Series on analysis, applications and computation ; v. 1.
Subjects:
Online Access:Texto completo
Description
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
Physical Description:1 online resource (xii, 217 pages)
Bibliography:Includes bibliographical references (pages 205-212) and index.
ISBN:9789812708786
9812708782
ISSN:1793-4702 ;