Poisson summation formula and Index Transforms

Fuente: arXiv
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Autori principali: Ribeiro, Pedro, Yakubovich, Semyon
Natura: Preprint
Pubblicazione: 2024
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author Ribeiro, Pedro
Yakubovich, Semyon
author_facet Ribeiro, Pedro
Yakubovich, Semyon
contents Following the work of the second author, a class of summation formulas attached to index transforms is studied in this paper. Our primary results concern summation and integral formulas with respect to the second index of the Whittaker function $W_{μ,ν}(z)$.
format Preprint
id arxiv_https___arxiv_org_abs_2407_14174
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Poisson summation formula and Index Transforms
Ribeiro, Pedro
Yakubovich, Semyon
Classical Analysis and ODEs
Number Theory
Following the work of the second author, a class of summation formulas attached to index transforms is studied in this paper. Our primary results concern summation and integral formulas with respect to the second index of the Whittaker function $W_{μ,ν}(z)$.
title Poisson summation formula and Index Transforms
topic Classical Analysis and ODEs
Number Theory
url https://arxiv.org/abs/2407.14174