English

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

Functional Analysis 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0612359,
  title  = {Wiener-Hopf operators on spaces of functions on R+ with values in a Hilbert space},
  author = {Violeta Petkova},
  journal= {arXiv preprint arXiv:math/0612359},
  year   = {2007}
}