The spaces of trial and generalized functions of infinite number of variables |
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Authors: | YuG Kondrat’ev YuS Samoylenko |
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Institution: | Kiev State University, Kiev, U.S.S.R.;Institute of Mathematics of A.S.Uk.S.S.R., Kiev, U.S.S.R. |
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Abstract: | In this article the spaces of trial and generalized functions of infinite number of variables closely connected with the equipment of Fock space are introduced. The spaces introduced are described in new terminology. The properties of continuity and differentiability of trial functions are studied. |
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