Abstract
AbstractWe consider convolution type operators that carry a certain symmetry in their structure. The study is motivated by several applications in mathematical physics where this kind of operators appears. They can be regarded as a class of Wiener‐Hopf plus Hankel operators acting in spaces of Bessel potentials. But the common approach of reduction to systems of Wiener‐Hopf equations is avoided by a more direct factorization scheme. The main results are: Fredholm criteria, analytical representation of generalized inverses, and the constructive solution of normalization problems. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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