Title: BOUNDARY VALUES AND CONVOLUTION IN ULTRADISTRIBUTION SPACES (Analysis, Applications and Computation)
Publisher: World Scientific Publishing Company
Publication Date: 2007
Language: English
ISBN 10: 9812707697
ISBN 13: 9789812707697
Binding: Hardcover
Condition: New

About this title

Synopsis

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.

Review

This book contains a large amount of information on ultradistributions as boundary values of analytic functions, which will be useful for researchers on this topic and its applications to linear partial differential operators. --Zentralblatt MATH

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