Multipliers on a Hilbert Space of Functions on R

نویسنده

  • VIOLETA PETKOVA
چکیده

For a Hilbert space H ⊂ L 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(R) as well as our previous result for multipliers in weighted space L ω (R). Moreover, we obtain a description of the spectrum of S.

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تاریخ انتشار 2009