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Power moments of negative order for the principal spectral function of a string

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Abstract

We established necessary and sufficient conditions for the existence of finite power moments of all integer negative orders for the principal spectral function of a string. The necesity of this problem is explained by its relation to the so-called strong Stieltjes moment problem.

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Authors
  1. I. S. Kats
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Additional information

Odessa Academy of Food Technologies, Odessa. Translated from Ukrainskii Matematischeskii Zhurnal, Vol. 48, No. 9, pp. 1209–1222, September, 1996.

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Kats, I.S. Power moments of negative order for the principal spectral function of a string. Ukr Math J 48, 1371–1387 (1996). https://doi.org/10.1007/BF02595359

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  • DOI: https://doi.org/10.1007/BF02595359

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