ABELIAN THEOREMS FOR DISTRIBUTIONAL KONTOROVICH-LEBEDEV AND MEHLER-FOCK TRANSFORMS OF GENERAL ORDER

被引：20

作者：

Gonzalez, Benito J. ^{[1
]}

Negrin, Emilio R. ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, Fac Ciencias, Campus Anchieta, ES-38271 San Cristobal la Laguna, Tenerife, Spain

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2019年 / 13卷 / 03期

关键词：

Kontorovich-Lebedev transform; modified Bessel (or Macdonald) function; Mehler-Fock transform; Legendre function; general order; distributions of compact support; generalized functions; CONVOLUTION THEOREM;

D O I：

10.1215/17358787-2019-0002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our goal in this article is to derive Abelian theorems for the Kontorovich-Lebedev and Mehler-Fock transforms of general order over distributions of compact support and over certain spaces of generalized functions.

引用

页码：524 / 537

页数：14

共 16 条

[1]

Erdelyi A., 1953, Higher transcendental functions, V2

[2]

Erdelyi A., 1955, Bateman Manuscript Project

[3] ON THE CONVOLUTION THEOREM OF THE MEHLER-FOCK-TRANSFORM FOR A CLASS OF GENERALIZED-FUNCTIONS .1. [J].