Canonical Fourier-Bessel transform and their applications

被引：8

作者：

Ghazouani, Sami ^{[1
]}

Sahbani, Jihed ^{[2
]}

机构：

[1] Univ Carthage, Fac Sci Bizerte, Dynam Syst & Their Applicat, UR17ES21, Bizerte 7021, Tunisia

[2] Univ Carthage, Fac Sci Bizerte, Bizerte 7021, Tunisia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 01期

关键词：

Fourier-Bessel transform; Linear canonical transform; Canonical Fourier-Bessel transform; Translation operator; Convolution product; Heat equation; Heat kernel; FRACTIONAL POWER;

D O I：

10.1007/s11868-022-00500-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to introduce a translation operator associated to the canonical Fourier-Bessel transform F nu m and study some of its important properties. We derive a convolution product for this transform and as application we study the heat equation related to delta(m-1)(nu) given by delta(m-1)(nu) = d(2)/dx(2) + (2v +1/x + 2ia/bx)d/dx - (a(2)/b(2)x(2) - 2i (nu + 1)a/b).

引用

页数：25

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