Multipliers on Hilbert spaces of functions on R

Details Multipliers on Hilbert spaces of functions on R Multipliers on Hilbert spaces of functions on R

2009-09-05

arxiv.org/abs/0909.1035v1

Serdica Math. J. 35 (2009) p.207-216

Mathematics

Functional Analysis

Scientific paper

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.

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