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VOL. 29 | 1992 The Poincaré-Bertrand formula for the Hilbert transform

Abstract

The Poincaré-Bertrand formula for the finite Hilbert transform will be proved by applying the properties of Chebyshev polynomial functions. That formulation will then be extended to the Hilbert transform both for the entire real line and the one-dimensional torus.

Information

Published: 1 January 1992
First available in Project Euclid: 18 November 2014

zbMATH: 0789.44003
MathSciNet: MR1188894

Rights: Copyright © 1992, 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.

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