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portada Boundary Values and Convolution in Ultradistribution Spaces
Type
Physical Book
Author
Publisher
Year
2007
Language
English
Pages
232
Format
Hardcover
ISBN
9812707697
ISBN13
9789812707697
Categories

Boundary Values and Convolution in Ultradistribution Spaces

Stevan Pilipovic (Author) · Andrzej Kaminski (Author) · Richard D. Carmichael (Author) · World Scientific Publishing Company · Hardcover

Boundary Values and Convolution in Ultradistribution Spaces - Pilipovic, Stevan ; Carmichael, Richard D. ; Kaminski, Andrzej

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NT$ 4,850

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Synopsis "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 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.

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