On Flett potentials associated with the Laplace-Bessel differential operator

被引：0

作者：

Eryigit, Melih ^{[1
]}

Yildiz, Guldane ^{[2
]}

Bayrakci, Simten ^{[1
]}

Sezer, Sinem ^{[3
]}

机构：

[1] Akdeniz Univ, Fac Sci, Dept Math, Antalya, Turkiye

[2] Akdeniz Univ, Inst Sci, Dept Math, Antalya, Turkiye

[3] Akdeniz Univ, Fac Educ, Dept Math, Antalya, Turkiye

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 03期

关键词：

Flett potentials; Wavelet-like transforms; Inversion formulas; WAVELET TRANSFORMS; INVERSION; INTEGRALS; SPACES;

D O I：

10.1007/s43034-023-00279-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article introduces new anisotropic wavelet-type transforms generated by the Laplace-Bessel differential operator. Two components generate these transforms: a wavelet function and a kernel function called the generalized Poisson kernel. Then, we obtain explicit inversion formulas for the Flett potentials using the wavelet-like transform.

引用

页数：16

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