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

共 50 条

[31] On Laplace and Fourier transforms of periodically monotone functions and distributions
Fiorito, G
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2000, 57 (1-2): : 105 - 114
[32] BOUNDS FOR CHARACTERISTIC FUNCTIONS AND LAPLACE TRANSFORMS OF PROBABILITY DISTRIBUTIONS
Zhang, Z.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2012, 56 (02) : 350 - 358
[33] ANALYTIC STRUCTURE OF LAPLACE TRANSFORMS OF DISTRIBUTIONS WITH RESTRICTED SUPPORT
SCREATON, GR
TRUMAN, A
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (07) : 982 - 985
[34] Asymptotic expansions of generalized Stieltjes transforms of algebraically decaying functions
López, JL
Ferreira, C
STUDIES IN APPLIED MATHEMATICS, 2002, 108 (02) : 187 - 215
[35] Results on analytic functions defined by Laplace-Stieltjes transforms with perfect φ-type
Liu, Simin
Xu, Hongyan
Cui, Yongqin
Gong, Pan
OPEN MATHEMATICS, 2020, 18 : 1814 - 1829
[36] AN ABELIAN AND TAUBERIAN THEOREM FOR THE STIELTJES TRANSFORM OF GENERALIZED-FUNCTIONS
TROGER, G
CZECHOSLOVAK JOURNAL OF PHYSICS, 1987, 37 (09) : 1061 - 1071
[37] ON GENERALIZED LAPLACE TRANSFORMS AND SELF-RECIPROCAL FUNCTIONS
GUPTA, RP
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 1966, 36 : 441 - &
[38] Wiener type tauberian theorems for generalized functions and Stieltjes transform
Drozhzhinov, YN
Zav'yalov, BI
DOKLADY AKADEMII NAUK, 1998, 363 (02) : 156 - 159
[39] Fourier-Stieltjes transforms over homogeneous spaces of compact groups
Farashahi, Arash Ghaani
GROUPS GEOMETRY AND DYNAMICS, 2019, 13 (02) : 511 - 547
[40] Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators
Koornwinder, Torn H.
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2015, 11

← 1 2 3 4 5 →