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On local operators diagonal with respect to the system of Hermitian polynomials

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Ukrainian Mathematical Journal Aims and scope

Abstract

We present necessary conditions for operators diagonal with respect to the system of Hermitian polynomials to be local.

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References

  1. Yu. M. Berezanskii,Self-Adjoint Operators in Spaces of Functions of Infinitely Many Variables [in Russian], Naukova Dumka, Kiev (1978).

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  2. A. A. Dorogovtsev, “On local diagonal operators,” in:Fourier Series: Theory and Applications [in Russian], Institute of Mathematics, Ukrainian Academy of Science, Kiev (1992), pp. 27–30.

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Authors and Affiliations

  1. Kiev University, Kiev

    A. Yu. Pilipenko

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  1. A. Yu. Pilipenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 555–561, April, 1995.

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Pilipenko, A.Y. On local operators diagonal with respect to the system of Hermitian polynomials. Ukr Math J 47, 645–653 (1995). https://doi.org/10.1007/BF01056053

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  • DOI: https://doi.org/10.1007/BF01056053

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