Commutative Jacobi fields in Fock space |
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Authors: | Yurij M Berezansky |
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Institution: | (1) Institute of Mathematics, Ukrainian Academy of Sciences, 3 Tereshchinkiv'ska St., 252601 Kiev, Ukraine |
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Abstract: | A jacobi field is understood to be a family (Ã()) of commuting selfadjoint operatorsÃ() acting in a Fock space, having a Jacobi structure, and depending linearly on the test functions . In this article, we give a spectral representation of such a family and outline its applications to the theory of distributions on an infinite dimensional space.This article is dedicated to the memory of my dear teacher Mark G. KreinThe work is partially supported by Fundamental Research Foundation of Ukraine, grant 1.4/62. |
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Keywords: | 60G20 46F25 60J30 |
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