Boundary Values And Convolution In Ultradistribution Spaces
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A01=Andrzej Kaminski
A01=Richard D Carmichael
A01=Stevan Pilipovic
Analytic Functions
Author_Andrzej Kaminski
Author_Richard D Carmichael
Author_Stevan Pilipovic
Boundary Values
Boundedness
Category=PBKJ
Cauchy Integral
Convolution
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier-Laplace Integral
FourierAcAEURA"Laplace Integral
Fourier–Laplace Integral
Integral Transforms
Poisson Integral
Ultradifferentiable Functions
Ultradistributions
Product details
- ISBN 9789812707697
- Publication Date: 31 Jul 2007
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 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.
