Title
Poisson Summation Formula In Hardy Spaces HP(TΓ) , P∈ (0 , 1 ]
Keywords
Absolute and locally-uniform convergence; Hardy space; Open cone; Poisson summation formula; Tube area
Abstract
The Poisson summation formula for Hardy spaces Hp(TΓ) in tubes TΓ⊂ Cn for p∈ (0 , 1 ] is obtained. Unlike the case of Lp(Rn) spaces, the formula holds everywhere in TΓ without any additional assumptions. To the best of our knowledge, the result is new even for the univariate case—Hardy spaces in the upper half-plane.
Publication Date
12-1-2016
Publication Title
Computational Methods and Function Theory
Volume
16
Issue
4
Number of Pages
689-697
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s40315-016-0170-2
Copyright Status
Unknown
Socpus ID
84991457597 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84991457597
STARS Citation
Li, Xin and Tovstolis, Alexander V., "Poisson Summation Formula In Hardy Spaces HP(TΓ) , P∈ (0 , 1 ]" (2016). Scopus Export 2015-2019. 3515.
https://stars.library.ucf.edu/scopus2015/3515