Abelian theorems for Laplace, Mellin and Stieltjes transforms over distributions of compact support and generalized functions

被引：5

作者：

Maan, Jeetendrasingh ^{[1
]}

Negrin, E. R. ^{[2
]}

机构：

[1] Indian Inst Technol Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, Bihar, India

[2] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna, Spain

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 03期

关键词：

Two-sided Laplace transform; Mellin transform; One-sided real Laplace transform; Stieltjes transform; Distributions of compact support; Generalized functions; Abelian theorems; MEHLER-FOCK TRANSFORMS; KONTOROVICH-LEBEDEV;

D O I：

10.1007/s12215-022-00799-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our goal in this article is to derive Abelian theorems for the two-sided Laplace transform, Mellin transform, one-sided real Laplace transform and Stieltjes transform over distributions of compact support and over certain function spaces of generalized functions.

引用

页码：2213 / 2229

页数：17

共 20 条

[1]

[Anonymous], 1937, Introduction of the Theory of Fourier Integrals

[2] LAPLACE TRANSFORM OF GENERALIZED FUNCTIONS [J].

BENEDETTO, J .

CANADIAN JOURNAL OF MATHEMATICS, 1966, 18 (02) :357-+

[3] A direct approach to the Mellin transform [J].

Butzer, PL ;

Jansche, S .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1997, 3 (04) :325-376

[4]

Elfving G., 1981, The History of Mathematics in Finland 1828-1918

[5] Abelian Theorems for Laplace and Mehler-Fock Transforms of Generalized Functions [J].

Gonzalez, B. J. ;

Negrin, E. R. .

FILOMAT, 2020, 34 (11) :3655-3662

[6]

Gonzalez B. J, 1998, Rev Colombiana Mat., V32, P81

[7] ABELIAN THEOREMS FOR DISTRIBUTIONAL KONTOROVICH-LEBEDEV AND MEHLER-FOCK TRANSFORMS OF GENERAL ORDER [J].

Gonzalez, Benito J. ;

Negrin, Emilio R. .

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (03) :524-537

[8]

Hayek N., 1992, REV ACAD CANARIA CIE, V4, P1

[9]

Horvath J., 2012, TOPOLOGICAL VECTOR S

[10]

Maan J, 2022, MATH COMMUN, V27, P1

← 1 2 →