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Siberian Mathematical Journal, 2008 Summary: We establish some assertions of Tauberian and Abelian types which enable us to find connections between the asymptotic properties of the Laplace transform at infinity and the asymptotics of the corresponding densities of rapidly decaying distributions (at infinity or in some neighborhood of zero). As applications of our Tauberian type theorems
А. А. Боровков
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Abelian and tauberian theorems for the Stefan-Boltzmann formula
Physica, 1973 Abstract The mathematical relations between the spectral density D(v) of the eigenvalues of the electromagnetic-vector wave equation for a lossless closed cavity and the total radiation energy S(T) are studied in the asymptotic limits v → ∞ and T → ∞.
H. Baltes
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Tauberian and Abelian theorems for characteristic functions
Abelian-Tauberian analogues of the Fourier-Stieltjes transformation results are given for the determination of the values of density functions in the neighbourhood of the origin.openaire +2 more sources
ABELIAN-TAUBERIAN THEOREM FOR LAPLACE-STIELTJES TRANSFORM OF HYPERFUNCTIONS
, 2020 A. N. Deepthi, N. R. Mangalambal
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Tauberian theorems for generalized Abelian summability methods
, 1999 Č. V. Stanojević +2 more
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A Tauberian theorem for Abelian summability methods.
, 1976 David Borwein, Bruce A. Watson
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