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arXiv:0909.1035 [math.FA]AbstractReferencesReviewsResources

Multipliers on Hilbert spaces of functions on R

Violeta Petkova

Published 2009-09-05Version 1

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.

Journal: Serdica Math. J. 35 (2009) p.207-216
Categories: math.FA
Subjects: 42A45
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