Multidimensional Tauberian theorems for generalized functions

被引：12

作者：

Drozhzhinov, Yu. N. ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Moscow 117901, Russia

来源：

RUSSIAN MATHEMATICAL SURVEYS | 2016年 / 71卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

generalized functions; quasi-asymptotics; Abelian theorems; Tauberian theorems; quasi-asymptotic boundedness; regularly varying functions; automodel functionals; BEHAVIOR; SUPPORTS; HARDY;

D O I：

10.1070/RM9743

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is a brief survey of multidimensional Tauberian theorems for generalized functions. Included are theorems of Hardy-Littlewood type, Tauberian and Abelian comparison theorems of Keldysh type, theorems of Wiener type, and Tauberian theorems for generalized functions with values in Banach spaces.

引用

页码：1081 / 1134

页数：54