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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 474–480 (Mi tm316)  
This article is cited in 1 scientific paper (total in 1 paper)

Tauberian Theorems for Cosine Operator Functions

B. Jefferiesa, S. I. Piskarevb

a University of New South Wales, School of Mathematics and Statistics
b M. V. Lomonosov Moscow State University
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Abstract: The paper is devoted to the investigation of Cesaro-type averaging convergence for cosine operator functions acting on a Banach space $X$. It is shown that the behavior of Cesaro-type averaging for polynomially bounded cosine operator functions is completely defined by the behavior of the resolvent in a neighborhood of zero.
Received in December 2000
Bibliographic databases:
UDC: 517.9
Language: English
Citation: B. Jefferies, S. I. Piskarev, “Tauberian Theorems for Cosine Operator Functions”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 474–480; Proc. Steklov Inst. Math., 236 (2002), 461–467
Citation in format AMSBIB
\Bibitem{JefPis02}
\by B.~Jefferies, S.~I.~Piskarev
\paper Tauberian Theorems for Cosine Operator Functions
\inbook Differential equations and dynamical systems
\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 236
\pages 474--480
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm316}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931046}
\zmath{https://zbmath.org/?q=an:1058.47041}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 236
\pages 461--467
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