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.
Stevan Pilipovic & Richard D Carmichael
Boundary Values And Convolution In Ultradistribution Spaces [PDF ebook]
Boundary Values And Convolution In Ultradistribution Spaces [PDF ebook]
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язык английский ● Формат PDF ● страницы 232 ● ISBN 9789812708786 ● Размер файла 1.4 MB ● издатель World Scientific Publishing Company ● город Singapore ● Страна SG ● опубликованный 2007 ● Загружаемые 24 месяцы ● валюта EUR ● Код товара 2445703 ● Защита от копирования Adobe DRM
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