Canonical Fourier–Bessel harmonic analysis of distributions. II. Generalized convolution

Following Platonov [Canonical Fourier–Bessel harmonic analysis of distributions. I. Integr Transf Spec Funct. 2026;1–17. doi: 10.1080/10652469.2026.2720906], we continue to study some problems of the canonical Fourier–Bessel harmonic analysis of distributions. We introduce the the generalized convolution product associated with the canonical Fourier–Bessel operator Fm for usual and generalized functions and establish some of its properties.

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Publication Details

Journal
Integral Transforms and Special Functions
Published
2026-10-28
DOI
https://doi.org/10.1080/10652469.2026.2753607
Primary Topic
Mathematical Analysis and Transform Methods
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article
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article

Canonical Fourier–Bessel harmonic analysis of distributions. II. Generalized convolution

Sergey S. Platonov
Integral Transforms and Special Functions
Mathematical Analysis and Transform Methods
article

Canonical Fourier–Bessel harmonic analysis of distributions. II. Generalized convolution

Sergey S. Platonov
article en

Abstract

Following Platonov [Canonical Fourier–Bessel harmonic analysis of distributions. I. Integr Transf Spec Funct. 2026;1–17. doi: 10.1080/10652469.2026.2720906], we continue to study some problems of the canonical Fourier–Bessel harmonic analysis of distributions. We introduce the the generalized convolution product associated with the canonical Fourier–Bessel operator Fm for usual and generalized functions and establish some of its properties.

Integral Transforms and Special Functions
Petrozavodsk State University (RU)
Openalex Percentile: Top 7%
Mathematical Analysis and Transform Methods
DOISourceOpenAlex
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Canonical Fourier–Bessel harmonic analysis of distributions. II. Generalized convolution — Sergey S. Platonov · Integral Transforms and Special Functions (2026) | TGRS Research Map | TGRS