English

Multivariate Bessel functions and multivariate Hankel transforms

Classical Analysis and ODEs 2024-10-21 v1 Functional Analysis

Abstract

The generalization, similarly to exponential multivariate bases in the Fourier transform, of the Bessel functions to many dimensions is offered. Analogously to the Fourier transform property under the differentiation, the similar Hankel transform property is extended to many dimensions.

Keywords

Cite

@article{arxiv.2410.14304,
  title  = {Multivariate Bessel functions and multivariate Hankel transforms},
  author = {Victor G. Zakharov},
  journal= {arXiv preprint arXiv:2410.14304},
  year   = {2024}
}

Comments

7 pages

R2 v1 2026-06-28T19:27:03.372Z