Integral Transforms and Their Applications

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its imĀ­ mediate origin in lecture notes prepared for senior level courses at the Australian

  • PDF / 19,774,828 Bytes
  • 427 Pages / 430.574 x 649.574 pts Page_size
  • 69 Downloads / 259 Views

DOWNLOAD

REPORT


Lawrence Sirovich

Courant Institute of Mathematical Sciences New York University New York, N.Y. 10012

Division of Applied Mathematics Brown University Providence, R.I. 02912

Joseph P. LaSalle

Gerald B. Whitham

Division of Applied Mathematics Brown University Providence, R.I. 02912

Applied Mathematics Firestone Laboratory California Institute of Technology Pasadena,CA .91125

EDITORIAL STATEMENT The mathematization of all sciences, the fading of traditional scientific boundaries, the impact of computer technology, the growing importance of mathematicalcomputer modelling and the necessity of scientific planning all create the need both in education and research for books that are introductory to and abreast of these developments. The purpose of this series is to provide such books, suitable for the user of mathematics, the mathematician interested in applications, and the student scientist. In particular, this series will provide an outlet for material less formally presented and more anticipatory of needs than finished texts or monographs, yet of immediate interest because of the novelty of its treatment of an application or of mathematics being applied or lying close to applications. The aim of the series is, through rapid publication in an attractive but inexpensive format, to make material of current interest widely accessible. This implies the absence of excessive generality and abstraction, and unrealistic idealization, but with quality of exposition as a goal. Many of the books will originate out of and will stimulate the development of new undergraduate and graduate courses in the applications of mathematics. Some of the books will present introductions to new areas of research, new applications and act as signposts for new directions in the mathematical sciences. This series will often serve as an intermediate stage of the publication of material which, through exposure here, will be further developed and refined. These will appear in conventional format and in hard cover.

MANUSCRIP TS The Editors welcome all inquiries regarding the submission of manuscripts for the series. Final preparation of all manuscripts will take place in the editorial offices of the series in the Division of Applied Mathematics, Brown University, Providence, Rhode Island.

Springer Science+ Business Media, LLC

Applied Mathematical Sciences I Volume 25

B. Davies

Integral Transforms and Their Applications

Springer Science+Business Media, LLC

B. Davies The Australian National University Post Office Box 4 Canberra, A. C. T. 2600

AMS Classifications: 44-01, 44A10, 44A15, 44A20, 44A30

Library of Congress Cataloging in Publication Data Davies, Brian, 1937lntegral transforms and their applications. (Applied mathematical sciences; v. 25) B!bliography: p. Includes index. 1. Integral transforms. I. Title. II. Series. QA1.A647 vol. 25 [QA432] 510'.8s [515'.723]

77-27330

All rights reserved. No part of this book may be translated or reproduced in any form without written permission from Springer Science+Business Media, LLC.

F