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2007.210: A brief historical perspective of the Wiener-Hopf technique

2007.210: Jane B. Lawrie and I. David Abrahams (2007) A brief historical perspective of the Wiener-Hopf technique. Journal of Engineering Mathematics, 59 (4). pp. 351-358. ISSN 1573-2703

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DOI: 10.1007/s10665-007-9195-x

Abstract

It is a little over 75 years since two of the most important mathematicians of the 20th century collaborated on finding the exact solution of a particular equation with semi-infinite convolution type integral operator. The elegance and analytical sophistication of the method, now called the Wiener–Hopf technique, impress all who use it. Its applicability to almost all branches of engineering, mathematical physics and applied mathematics is borne out by the many thousands of papers published on the subject since its conception. The Wiener–Hopf technique remains an extremely important tool for modern scientists, and the areas of application continue to broaden. This special issue of the Journal of Engineering Mathematics is dedicated to the work of Wiener and Hopf, and includes a number of articles which demonstrate the relevance of the technique to a representative range of model problems.

Item Type:Article
Uncontrolled Keywords:Eberhard Hopf - Norbert Wiener - Wiener filter - Wiener–Hopf technique
Subjects:MSC 2000 > 35 Partial differential equations
MSC 2000 > 74 Mechanics of deformable solids
MIMS number:2007.210
Deposited By:Mrs Louise Healey
Deposited On:26 November 2007

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