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Canonical representations of generalized moments on a discrete set

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Abstract

Canonical representations of generalized moments are investigated for the case in which the mass support is the set of positive integers together with the point ∞.

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Literature cited

  1. M. G. Krein, “Some ideas concerning limiting values of integrals introduced by P. L. Chebyshev and A. A. Markov and their further development,” Uspekhi Matem. Nauk,6, No. 4, 3–20 (1951).

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  3. A. A. Nudel'man, “Canonical solutions of the moment problem on several intervals,” Matem. Zametki,2, No. 4, 435–442 (1967).

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  4. S. Karlin and W. J. Studden, Tchebycheff Systems with Applications in Analysis and Statistics, New York-London-Sydney (1966).

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Authors and Affiliations

  1. Odessa Structural Engineering Institute, USSR

    I. P. Fedchina

Authors
  1. I. P. Fedchina
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Additional information

Translated from Matematicheskie Zametki, Vol. 5, No. 1, pp. 39–48, January, 1969.

I would like to express my appreciation to A. A. Nudel'man for suggesting the problem considered here and for his help.

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Fedchina, I.P. Canonical representations of generalized moments on a discrete set. Mathematical Notes of the Academy of Sciences of the USSR 5, 26–31 (1969). https://doi.org/10.1007/BF01098711

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  • DOI: https://doi.org/10.1007/BF01098711

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