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Boundary Values And Convolution In Ultradistribution Spaces

Boundary Values And Convolution In Ultradistribution Spaces

Tjek vores konkurrenters priser
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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 232
ISBN-13: 9789812707697
Indbinding: Hardback
Udgave:
ISBN-10: 9812707697
Udg. Dato: 31 jul 2007
Længde: 19mm
Bredde: 153mm
Højde: 234mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 31 jul 2007
Forfatter(e) Richard D Carmichael, Stevan Pilipovic, Andrzej Kaminski


Kategori Differentialregning & ligninger


ISBN-13 9789812707697


Sprog Engelsk


Indbinding Hardback


Sider 232


Udgave


Længde 19mm


Bredde 153mm


Højde 234mm


Udg. Dato 31 jul 2007


Oplagsdato 31 jul 2007


Forlag World Scientific Publishing Co Pte Ltd