Poisson summation formula and Index Transforms
Classical Analysis and ODEs
2024-07-22 v1 Number Theory
Abstract
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 .
Cite
@article{arxiv.2407.14174,
title = {Poisson summation formula and Index Transforms},
author = {Pedro Ribeiro and Semyon Yakubovich},
journal= {arXiv preprint arXiv:2407.14174},
year = {2024}
}