Extension by integer translates of compactly supported function for multiplier spaces on periodic Hardy spaces to multiplier spaces on Hardy spaces is given. Shannon sampling theorem is extended to Hardy spaces.
@article{urn:eudml:doc:41177, title = {Multiplier extension and sampling theorem on Hardy spaces.}, journal = {Publicacions Matem\`atiques}, volume = {38}, year = {1994}, pages = {441-454}, mrnumber = {MR1316639}, zbl = {0832.42007}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41177} }
Qiyu, Sun. Multiplier extension and sampling theorem on Hardy spaces.. Publicacions Matemàtiques, Tome 38 (1994) pp. 441-454. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41177/