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.
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页码：2213 / 2229
页数：17
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