| Description |
1 online resource (xii, 217 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Series on analysis, applications and computation,
1793-4702 ;
v. 1
|
|
Series on analysis, applications and computation ; v. 1.
1793-4702
|
| Bibliography |
Includes bibliographical references (pages 205-212) and index. |
| Contents |
Cones in Rn and kernels -- Ultradifferentiable functions and ultradistributions -- Boundedness -- Cauchy and poisson integrals -- Boundary values of analytic functions -- Convolution of ultradistributions -- Integral transforms of tempered ultradistributions. |
| Summary |
"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."--Jacket. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Theory of distributions (Functional analysis)
|
|
Theory of distributions (Functional analysis) |
|
Mathematical analysis.
|
|
Mathematical analysis. |
|
Boundary value problems.
|
|
Boundary value problems. |
|
Convolutions (Mathematics)
|
|
Convolutions (Mathematics) |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Added Author |
Kamiński, Andrzej Józef.
|
|
Pilipović, Stevan.
|
| Other Form: |
Print version: Carmichael, Richard D. Boundary values and convolution in ultradistribution spaces. Singapore ; Hackensack, NJ : World Scientific, ©2007 9789812707697 (DLC) 2007300168 (OCoLC)166373572 |
| ISBN |
9789812708786 (electronic book) |
|
9812708782 (electronic book) |
|
9789812707697 |
|
9812707697 |
|
