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A brief historical perspective of the Wiener–Hopf technique

Journal of Engineering Mathematics volume 59, pages 351–358 (2007)Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Brunel University, Uxbridge, UB8 3PH, UK

    Jane B. Lawrie

  2. School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK

    I. David Abrahams

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  1. Jane B. Lawrie
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  2. I. David Abrahams
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Correspondence to Jane B. Lawrie.

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Lawrie, J.B., Abrahams, I.D. A brief historical perspective of the Wiener–Hopf technique. J Eng Math 59, 351–358 (2007). https://doi.org/10.1007/s10665-007-9195-x

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Keywords

  • Eberhard Hopf
  • Norbert Wiener
  • Wiener filter
  • Wiener–Hopf technique