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

R. F. Hoskins, J. S. Pinto

ISBN 10: 1898563985 / ISBN 13: 9781898563983

Published by Woodhead Publishing 2005-01-01, 2005

About this Item

Seller Inventory # 6666-ELS-9781898563983

Bibliographic Details

• Title: Theories of Generalised Functions: Distributions, Ultradistributions and Other Generalised Functions
• Publisher: Woodhead Publishing 2005-01-01
• Publication Date: 2005
• Language: English
• ISBN 10: 1898563985
• ISBN 13: 9781898563983
• Binding: Paperback
• Edition: 2nd Edition
• Condition: New

About this title

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 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.

Review

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