Description 
1 online resource (xi, 415 pages) : illustrations 
Contents 
Preface  1 Introduction to Hyperfunctions  2 Analytic Properties  3 Laplace Transforms  4 Fourier Transforms  5 Hilbert Transforms  6 Mellin Transforms  7 Hankel Transforms  A Complements  B Tables  List of Symbols  Bibliography. Index 
Summary 
This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power. The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book. Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics 
Bibliography 
Includes bibliographical references (pages 407409) and index 
Notes 
English 
Subject 
Hyperfunctions.


Transformations (Mathematics)


Transformaciones (Matemáticas)


Hiperfunciones


Hyperfunctions


Transformations (Mathematics)


Hyperfunktion


Integraltransformation

Genre/Form 
Lehrbuch.

Form 
Electronic book

ISBN 
9783034604086 

3034604084 

9783034604079 

3034604076 

1280391472 

9781280391477 

9786613569394 

6613569399 

9783034604093 

3034604092 
