عنوان

Introduction to hyperfunctions and their integral transforms :

(Number (ISBN

3034604076

(Number (ISBN

3034604084

(Number (ISBN

9783034604079

(Number (ISBN

9783034604086

Number

dltt

Publisher's Number

12776979

Title Proper

Introduction to hyperfunctions and their integral transforms :

General Material Designation

[Book]

Other Title Information

an applied and computational approach /

First Statement of Responsibility

Urs Graf

Specific Material Designation and Extent of Item

1 online resource (xi, 415 pages) :

Other Physical Details

illustrations

Text of Note

Includes bibliographical references (pages 407-409) and index

Text of Note

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

0

Text of Note

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

Title

Introduction to hyperfunctions and their integral transforms.

International Standard Book Number

9783034604079

Hyperfunctions

Transformations (Mathematics)

Number

Edition

Class number

Book number

Graf, Urs,1943-

Date of Transaction

20170726081938.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y