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Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, Issue 6, Pages 14–23 (Mi vyurm101)  

Mathematics

Some Sobolev spaces as Pontryagin spaces

V. A. Straussa, C. Trunkb

a Universidad Simón Bolívar
b Technische Universität Ilmenau, Institut für Mathematik, Ilmenau, Germany

Abstract: We show that well known Sobolev spaces can quite naturally be treated as Pontryagin spaces. This point of view gives a possibility to obtain new properties for some traditional objects such as simplest differential operators.

Keywords: Function spaces, Pontryagin spaces, selfadjoint operators, differential operators.

Full text: PDF file (290 kB)
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UDC: 517.982.22+517.983.35
Received: 22.03.2011
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Citation: V. A. Strauss, C. Trunk, “Some Sobolev spaces as Pontryagin spaces”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 6, 14–23

Citation in format AMSBIB
\Bibitem{ShtTru12}
\by V.~A.~Strauss, C.~Trunk
\paper Some Sobolev spaces as Pontryagin spaces
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2012
\issue 6
\pages 14--23
\mathnet{http://mi.mathnet.ru/vyurm101}


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