Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | Introduction to Hyperfunctions and Their Integral Transforms - An Applied and Computational Approach

Introduction to Hyperfunctions and Their Integral Transforms

An Applied and Computational Approach

Graf, Urs

2010, Approx. 430 p.

A product of Birkhäuser Basel
Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-3-0346-0408-6

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-0346-0407-9

free shipping for individuals worldwide

online orders shipping within 2-3 days.

add to marked items

  • Offers an introduction to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable
  • Readable by a large audience due to the use of basic contour integration in the complex plane
  • Only book that treats Mellin and Hankel transforms

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.


Content Level » Research

Keywords » Hyperfunction - integral transform

Related subjects » Birkhäuser Mathematics

Table of contents / Preface 

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Integral Transforms, Operational Calculus.