Abstract
In these five lectures on the spectral, and more particularly the inverse spectral theory of the Dirichlet problem in planar domains I wish to show how the investigation of a concrete mathematical question can draw on quite extensive areas of mathematics. Thus I hope that these talks will help to bind together various parts of the material you will have seen, or be seeing, elsewhere in this Workshop.
Each of the lectures will centre on one or two explicit 'results' which I will try to put into context. Then, as time permits, I will outline some of the proofs and discuss extensions and refinements of the various questions. For the most part I will refer elsewhere for details.
Information
Published: 1 January 1996
First available in Project Euclid: 18 November 2014
MathSciNet: MR1394681
Rights: Copyright © 1996, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
