Boundary Values And Convolution In Ultradistribution Spaces

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Boundary Values And Convolution In Ultradistribution Spaces is written by Stevan Pilipovic and published by World Scientific. It's available with International Standard Book Number or ISBN identification 9814475203 (ISBN 10) and 9789814475204 (ISBN 13).

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.