Multipliers on Hilbert spaces of functions on R
Functional Analysis
2009-09-08 v1
Abstract
For a Hilbert space H included in L^1_{loc} (R) of functions on $R we obtain a representation theorem for the multipliers M commuting with the shift operator S. This generalizes the classical result for multipliers in L^2(R) as well as our previous result for multipliers in weighted space Lw^2(R). Moreover, we obtain a description of the spectrum of S.
Cite
@article{arxiv.0909.1035,
title = {Multipliers on Hilbert spaces of functions on R},
author = {Violeta Petkova},
journal= {arXiv preprint arXiv:0909.1035},
year = {2009}
}