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Multivariate Bessel functions and multivariate Hankel transforms

2024/10/18 by Victor G. Zakharov, Zakharov, Victor G.
Mathematics · #33B10 #33C10 #33C50 #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2410.14304

openalex publication_date 2024/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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