Boundary Values And Convolution In Ultradistribution Spaces
Author:   Stevan Pilipovic (Univ Of Novi Sad, Serbia) ,  Richard D Carmichael (Wake Forest Univ, Usa) ,  Andrzej Kaminski (Univ Of Rzeszow, Poland)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   1
ISBN:  

9789812707697


Pages:   232
Publication Date:   31 July 2007
Format:   Hardback
Availability:   Out of stock   Availability explained
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Boundary Values And Convolution In Ultradistribution Spaces


Overview

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.

Full Product Details

Author:   Stevan Pilipovic (Univ Of Novi Sad, Serbia) ,  Richard D Carmichael (Wake Forest Univ, Usa) ,  Andrzej Kaminski (Univ Of Rzeszow, Poland)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   1
ISBN:  

9789812707697


ISBN 10:   9812707697
Pages:   232
Publication Date:   31 July 2007
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Cones in n and Kernels; Ultradifferentiable Functions and Ultradistributions; Boundedness; Cauchy and Poisson Integrals; Boundary Values of Analytic Functions; Convolution of Ultradistributions; Integral Transforms of Tempered Ultradistributions.

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