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On a class of nonlinear cross‐correlation equations
Author(s) -
v. Wolfersdorf Lothar,
Wegert Elias
Publication year - 2004
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310174
Subject(s) - mathematics , nonlinear system , conjugacy class , bilinear interpolation , factorization , integral equation , fourier transform , mathematical analysis , class (philosophy) , pure mathematics , statistics , physics , algorithm , quantum mechanics , artificial intelligence , computer science
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)