Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main tex
Theories of Generalised Functions: Distribution, Ultradistributions and Other Generalised Functions
โ Scribed by R.F. Hoskins, J Sousa Pinto
- Publisher
- Woodhead Publishing
- Year
- 2005
- Tongue
- English
- Leaves
- 307
- Edition
- 2nd
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalized functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing to gain expertise in the application of generalised functions to physical problems, without any prior acquaintance of the specialized subject matter. An ideal companion book to Delta Functions, also by Professor Hoskins.
๐ SIMILAR VOLUMES
Introduction to distributions; Further properties of distributions; Generalised functions and fourier analysis; Analytic representation; Multiplication of generalised functions; Infinitesimal analysis; Non-standard theories; References and index
This book is concerned with the study of certain spaces of generalized functions and their application to the theory of integral transforms defined on the positive real axis. Dr. McBride has purposely chosen to study only a few operators in considerable detail rather than hurriedly rushing over a