Multipliers on a Hilbert Space of Functions on R

Petkova, Violeta. "Multipliers on a Hilbert Space of Functions on R." Serdica Mathematical Journal 35.2 (2009): 207-216. <http://eudml.org/doc/281443>.

@article{Petkova2009,
abstract = {2000 Mathematics Subject Classification: 42A45.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.},
author = {Petkova, Violeta},
journal = {Serdica Mathematical Journal},
keywords = {Multipliers; Spectrum},
language = {eng},
number = {2},
pages = {207-216},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Multipliers on a Hilbert Space of Functions on R},
url = {http://eudml.org/doc/281443},
volume = {35},
year = {2009},
}

TY - JOUR
AU - Petkova, Violeta
TI - Multipliers on a Hilbert Space of Functions on R
JO - Serdica Mathematical Journal
PY - 2009
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 35
IS - 2
SP - 207
EP - 216
AB - 2000 Mathematics Subject Classification: 42A45.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.
LA - eng
KW - Multipliers; Spectrum
UR - http://eudml.org/doc/281443
ER -