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Self-adjoint differential vector-operators and matrix Hilbert spaces I

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Central European Journal of Mathematics

Abstract

In the current work a generalization of the famous Weyl-Kodaira inversion formulas for the case of self-adjoint differential vector-operators is proved. A formula for spectral resolutions over an analytical defining set of solutions is discussed. The article is the first part of the planned two-part survey on the structural spectral theory of self-adjoint differential vector-operators in matrix Hilbert spaces.

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Authors and Affiliations

  1. ICTP Affiliated Center, Department of Mechanics and Mathematics, The National University of Uzbekistan, 700095, Tashkent, Uzbekistan

    Maksim Sokolov

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  1. Maksim Sokolov
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Additional information

The work is dedicated to Professor Ravshan Ashurov on occasion of his 50-th anniversary.

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Sokolov, M. Self-adjoint differential vector-operators and matrix Hilbert spaces I. centr.eur.j.math. 3, 627–643 (2005). https://doi.org/10.2478/BF02475623

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  • DOI: https://doi.org/10.2478/BF02475623

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