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On Integral Operators of Generalized Wiener-Hopf-Type

✍ Scribed by Günter Thelen-Rosemann-Niedrig

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
846 KB
Volume
138
Category
Article
ISSN
0025-584X

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✦ Synopsis

A class of singular integral operators on the positive halfaxis, constituted by the one-sided HILBERT transformation, the WIENER-HOPF operators, the multiplicative convolution operators, and some multiplication operators, generated by continuous functions, are studied with BANACE algebra methods. With the help of symbol functions the FREDHOLM operators wil be characterized. Moreover one gets information about an index formula and FREDHOLY inverses 0.

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## Q 1. Introduction The singular integral operator S, on the half-line R,, m being the simplest example of a WIENER-HOPF integral operator with piecewise continuous symbol, suggests that there ought to be some reason to consider such operators not only in L2(R+) but also in Lp(R+) (1 < p < 0 0 )