Theories of Generalised Functions

Distributions, Ultradistributions and Other Generalised Functions

R F Hoskins, J S Pinto

• Publisher: Woodhead Publishing
• Year: 2005
• Print ISBN: 9781898563983
• eBook ISBN: 9780857099488
• Topic: Mathematics
• Subtopic: Mathematical Analysis
• Index: Mathematics

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

Table of contents

• Cover
• THEORIES OF GENERALISED FUNCTIONS: Distributions, ultradistributions and other generalised functions
• Copyright
• PREFACE TO ORIGINAL EDITION
• Contents
• Chapter 1 Introduction to Distributions
• Chapter 2 Further Properties of Distributions
• Chapter 3 Generalised Functions and Fourier Analysis
• Chapter 4 Analytic Representation
• Chapter 5 Multiplication of Generalised Functions
• Chapter 6 Infinitesimal Analysis
• Chapter 7 Nonstandard Theories
• References
• Index