Research Methods of Multiparameter System in Hilbert Spaces
Pure and Applied Mathematics Journal
Volume 4, Issue 4-1, August 2015, Pages: 38-44
Received: May 9, 2015; Accepted: May 19, 2015; Published: Aug. 24, 2015
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Author
Rakhshanda Dzhabarzadeh, Department of Functional Analysis of Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
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Abstract
The work is devoted to the presentation of the methods, available in the literature, of the study of multiparameter spectral problems in Hilbert space. In particular, the method of Atkinson and his followers for a purely self-adjoint multiparameter systems and methods proposed by the author for the study, in general, non- selfadjoint multiparameter system in Hilbert space. These approaches solve questions of completeness, multiple completeness, the basis and a multiple basis property of eigen and associated vectors of multiparameter systems with a complex dependence on the parameters
Keywords
Method, Atkinson, Multiparameter Systems, Basis, Complete
To cite this article
Rakhshanda Dzhabarzadeh, Research Methods of Multiparameter System in Hilbert Spaces, Pure and Applied Mathematics Journal. Special Issue: Spectral Theory of Multiparameter Operator Pencils and Its Applications. Vol. 4, No. 4-1, 2015, pp. 38-44. doi: 10.11648/j.pamj.s.2015040401.18
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