Poisson Summation Formula In Hardy Spaces H^P(TΓ) , P∈ (0 , 1 ]

Creator

Xin Li, University of Central Florida
Alexander V. Tovstolis, University of Central Florida

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 H^P(TΓ) , P∈ (0 , 1 ]" (2016). Scopus Export 2015-2019. 3515.
https://stars.library.ucf.edu/scopus2015/3515