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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Iterative solution of a Wiener-Hopf problem in several variables


Author: Stavros N. Busenberg
Journal: Proc. Amer. Math. Soc. 29 (1971), 39-46
MSC: Primary 32.15; Secondary 45.00
DOI: https://doi.org/10.1090/S0002-9939-1971-0277749-9
MathSciNet review: 0277749
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Abstract: An extension of the classical problem of Wiener and Hopf to functions of several complex variables is considered. A sufficient condition for the unique solvability of the problem is obtained. Finally, a method for an iterative construction of the solution is given.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0277749-9
Keywords: Multidimensional Wiener-Hopf problem, multiple Fourier transforms, tubular domains, electromagnetic diffraction, contraction mapping
Article copyright: © Copyright 1971 American Mathematical Society