
Boundary Values And Convolution In Ultradistribution Spaces
World Scientific Publishing Co Pte Ltd
Published on 31. July 2007
Book
Hardback
232 pages
978-981-270-769-7 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Researchers and graduate students in mathematics, especially distributions and ultradistributions and their applications.
Product notice
sewn/stitched
Cloth over boards
Weight
536 gr
ISBN-13
978-981-270-769-7 (9789812707697)
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Schweitzer Classification
Persons
Author
Univ Of Novi Sad, Serbia
Wake Forest Univ, Usa
Univ Of Rzeszow, Poland
Content
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.