+612 9045 4394
 
CHECKOUT
Theories of Generalised Functions : Distributions, Ultradistributions and Other Generalised Functions - R. F. Hoskins

Theories of Generalised Functions

Distributions, Ultradistributions and Other Generalised Functions

Paperback

Published: 15th January 2005
Ships: 15 business days
15 business days
$138.95
or 4 easy payments of $34.74 with Learn more

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

An original and smart attempt to cover various developments of the theory of generalized and new generalized functions, beginning with the simplest considerations on distributions and finishing with deep remarks on the links with non-standard analysis. As far as I know, this is the only book to achieve this goal. ...highly recommendable., Zentralblatt Math

Introduction to distributionsp. 1
Further properties of distributionsp. 53
Generalised functions and Fourier analysisp. 82
Analytic representationp. 138
Multiplication of generalised functionsp. 183
Infinitesimal analysisp. 221
Nonstandard theoriesp. 251
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781898563983
ISBN-10: 1898563985
Audience: General
Format: Paperback
Language: English
Number Of Pages: 306
Published: 15th January 2005
Publisher: Elsevier Science & Technology
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 1.63
Weight (kg): 0.43
Edition Number: 2
Edition Type: Revised