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

被引：2

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

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