Wiener-Hopf operators on spaces of functions on R+ with values in a Hilbert space

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

A Wiener-Hopf operator on a Banach space of functions on R+ is a bounded
operator T such that P^+S_{-a}TS_a=T, for every positive a, where S_a is the
operator of translation by a. We obtain a representation theorem for the
Wiener-Hopf operators on a large class of functions on R+ with values in a
separable Hilbert space.

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