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Boundary Values and Convolution in Ultradistribution Spaces: Book by Richard D. Carmichael

Boundary Values and Convolution in Ultradistribution Spaces

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ISBN: 9789812707697    Publisher: World Scientific Publishing Co Pte Ltd Year of publishing: 2007     Format:  Hardback No of Pages: 250        
This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral...Read more
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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