Multidimensional Tauberian theorems for generalized functions

DOI10.1070/RM9743zbMath1373.46032OpenAlexW2584561087MaRDI QIDQ2988414

Yu. N. Drozhzhinov

Publication date: 19 May 2017

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9743

zbMATH Keywords

Tauberian theoremsgeneralized functionsregularly varying functionsabelian theoremsquasi-asymptoticsquasi-asymptotic boundednessautomodel functionals

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Tauberian theorems (40E05) Research exposition (monographs, survey articles) pertaining to sequences, series, summability (40-02)

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Analysis in differential algebras and modules ⋮ Abelian and Tauberian results for the fractional Fourier and short-time Fourier transforms of distributions ⋮ Tauberian class estimates for vector-valued distributions ⋮ On quantum dynamics on \(C^\ast\)-algebras ⋮ On the definitions of boundary values of generalized solutions to an elliptic-type equation ⋮ Asymptotically homogeneous generalized functions and some of their applications ⋮ Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional ⋮ A multidimensional Tauberian theorem for Laplace transforms of ultradistributions ⋮ Abelian Theorem for the Regularly Varying Measure and Its Density in Orthant ⋮ Some Properties of Regularly Varying Functions and Series in the Orthant

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