Theories of Generalised Functions :Distributions, Ultradistributions and Other Generalised Functions

Publication subTitle :Distributions, Ultradistributions and Other Generalised Functions

Author: Hoskins   R F;Pinto   J S  

Publisher: Elsevier Science‎

Publication year: 2005

E-ISBN: 9780857099488

P-ISBN(Paperback): 9781898563983

P-ISBN(Hardback):  9781898563983

Subject: O241 数值分析

Language: ENG

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Description

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 generalised 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 specialised subject matter. An ideal companion book to Delta Functions, also by Professor Hoskins.

  • Explains and compares the various standard types of generalised functions that have been developed during the 20th Century
  • Contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions

Chapter

Cover

pp.:  1 – 4

Copyright

pp.:  5 – 6

PREFACE TO ORIGINAL EDITION

pp.:  6 – 10

Contents

pp.:  10 – 14

Chapter 2 Further Properties of Distributions

pp.:  66 – 95

Chapter 3 Generalised Functions and Fourier Analysis

pp.:  95 – 151

Chapter 4 Analytic Representation

pp.:  151 – 196

Chapter 5 Multiplication of Generalised Functions

pp.:  196 – 234

Chapter 6 Infinitesimal Analysis

pp.:  234 – 264

Chapter 7 Nonstandard Theories

pp.:  264 – 299

References

pp.:  299 – 305

Index

pp.:  305 – 308

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