Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 35, No 2, (2009), 207p-216p
For a Hilbert space H ⊂ L1loc(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 L2(R) as
well as our previous result for multipliers in weighted space L2ω(R). Moreover,
we obtain a description of the spectrum of S.