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Nonuniformly definite multiparameter spectral problems

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Abstract

We establish theorems about the expansion of nonuniformly right-definite multiparameter problems in generalized eigenfunctions. We also give an abstract criterion of existence of commuting self-adjoint extensions of a family of symmetric operators.

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To Yurii Makarovich Berezanskii

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 5, pp. 659–670, May, 1995.

This research was supported by the Ukrainian State Committee on Science and Technology.

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Konstantinov, A.Y. Nonuniformly definite multiparameter spectral problems. Ukr Math J 47, 760–772 (1995). https://doi.org/10.1007/BF01059049

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  • DOI: https://doi.org/10.1007/BF01059049

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