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On a class of nonlinear cross-correlation equations

✍ Scribed by Lothar v. Wolfersdorf; Elias Wegert

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
195 KB
Volume
269-270
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Nonlinear cross‐correlation equations in finite and semi‐infinite intervals are studied by means of Fourier transform and Cauchy integral techniques. The equations are reduced to a bilinear conjugacy problem for two analytic functions on the real axis which can be solved in explicit form.

In particular, Engibaryan's equations from nonlinear factorization theory of Wiener‐Hopf integral equations are treated in more complete manner than in the previous literature. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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