Geodesic
Some Sobolev spaces as Pontryagin spaces
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 14-23

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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. 
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     title = {Some {Sobolev} spaces as {Pontryagin} spaces},
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V. A. Strauss; C. Trunk. Some Sobolev spaces as Pontryagin spaces. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 14-23. http://geodesic.mathdoc.fr/item/VYURM_2012_6_a2/