Abstract:
We present various strengthened versions of the Tauberian theorem for the Laplace transform proved by S. V. Konyagin and A. Yu. Popov in 1995.
\Bibitem{PopCha02}
\by A.~Yu.~Popov, Yu.~S.~Chainikov
\paper Analogues of Tauberian theorems for the Laplace transform
\jour Izv. Math.
\yr 2002
\vol 66
\issue 6
\pages 1219--1242
\mathnet{http://mi.mathnet.ru/eng/im412}
\crossref{https://doi.org/10.1070/IM2002v066n06ABEH000412}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1970355}
\zmath{https://zbmath.org/?q=an:1069.44002}
Linking options:
https://www.mathnet.ru/eng/im412
https://doi.org/10.1070/IM2002v066n06ABEH000412
https://www.mathnet.ru/eng/im/v66/i6/p137
This publication is cited in the following 2 articles:
Popov S.P., Tcheremissine F.G., “Subsonic rarefied gas flow over a rack of flat transverse plates”, Journal of Applied Mechanics and Technical Physics, 49:1 (2008), 46–52
A. Yu. Popov, A. P. Solodov, “Lower Bounds for Positive and Negative Parts of Measures and the Arrangement of Singularities of Their Laplace Transforms”, Math. Notes, 82:1 (2007), 75–87