Wiener-Hopf operators on spaces of functions on R+ with values in a Hilbert space
Abstract
A Wiener-Hopf operator on a Banach space of functions on R+ is a bounded operator T such that P+S-aTSa=T, for every positive a, where Sa 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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