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Russian Mathematical Surveys, 2016, Volume 71, Issue 6, Pages 1081–1134
DOI: https://doi.org/10.1070/RM9743 (Mi rm9743) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Multidimensional Tauberian theorems for generalized functions

Yu. N. Drozhzhinov

Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (861 kB) Citations (13)
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DOI: https://doi.org/10.1070/RM9743
Abstract: 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.
Bibliography: 58 titles.
Keywords: generalized functions, quasi-asymptotics, Abelian theorems, Tauberian theorems, quasi-asymptotic boundedness, regularly varying functions, automodel functionals.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant 14-50-00005.
Received: 23.03.2016
Revised: 23.05.2016
Russian version:
Uspekhi Matematicheskikh Nauk, 2016, Volume 71, Issue 6(432), Pages 99–154
DOI: https://doi.org/10.4213/rm9743
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: Primary 40E05; Secondary 46F05, 46F12
Language: English
Original paper language: Russian
Citation: Yu. N. Drozhzhinov, “Multidimensional Tauberian theorems for generalized functions”, Uspekhi Mat. Nauk, 71:6(432) (2016), 99–154; Russian Math. Surveys, 71:6 (2016), 1081–1134
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
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    English version PDF:29
    References:69
    First page:32
     
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