Boundary Values and Convolution in Ultradistribution Spaces |
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| Author:
| Carmichael, Richard D.
Kamiuski, Andrzej
Pilipovic, Stevan |
| Series title: | Ser. on ANALYSIS, APPLICATIONS and COMPUTATION Ser. |
| ISBN: | 978-981-270-769-7 |
| Publication Date: | Jan 2007 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Hardback |
| List Price: | AUD $157.95 |
Book Description:
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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 genera 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...
More DescriptionThis 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 genera 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.