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Zero sets of entire Hermitian positive functions

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Literature Cited

  1. A. I. Il'inskii, “On zeros and the argument of a characteristic function,” Teor. Veroyatn. Ee Primen.,20, No. 2, 421–427 (1975).

    Google Scholar 

  2. Yu. V. Linnik and I. V. Ostrovskii, Expansions of Random Variables and Vectors [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  3. I. P. Kamynin, “On entire crest functions with real zeros,” Teor. Veroyatn. Ee Primen.,25, No. 2, 431–432 (1980).

    Google Scholar 

  4. A. A. Gol'dberg and I. V. Ostrovskii, “On the growth of entire crest functions with real zeros,” Mat. Fiz. Funkts. Anal., Publ. Physicotechnical Institute of Low Temperatures of the Academy of Sciences of the UkrSSR, No. 5, 3–10, Kharkov (1974).

    Google Scholar 

  5. B. N. Ginzburg and N. D. Serykh, “On algebraic zero surfaces of entire characteristic functions of multivariate probability distributions,” Teor. Funkts., Funkts. Anal. Ikh Prilozh., Kharkov State Univ. Press, No. 30, 30–36, Kharkov (1978).

    Google Scholar 

  6. A. A. Gol'dberg, “On a problem of Linnik,” Dokl. Akad. Nauk SSSR,211, No. 1, 31–34 (1973).

    Google Scholar 

  7. A. I. Il'inskii, “On entire crest functions with the same zeros,” Teor. Funkts., Funkts. Anal. Ikh Prilozh., Kharkov State Univ. Press, No. 36, 32–36, Kharkov (1980).

    Google Scholar 

  8. R. T. Rockafellar, Convex Analysis, Princeton Univ. Press (1970).

  9. O. Blumenthal, Principes de la Theorie des Fonctions Entieres d'Ordre Infini, Gauthier-Villars, Paris (1910).

    Google Scholar 

  10. S. K. Balashov, “On the connection between the growth of an entire function of generalized order and its power series expansion coefficients and the distribution of the roots,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 8, 10–18 (1972).

    Google Scholar 

  11. S. N. Mergelyan, “Uniform approximations of functions of a complex variable,,” Usp. Mat. Nauk,7, 31–122 (1952).

    Google Scholar 

  12. A. A. Gol'dberg and I. V. Ostrovskii, Dsitribution of Values of Meromorphic Functions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

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Authors
  1. I. P. Kamynin
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  2. I. V. Ostrovskii
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Additional information

Kharkov State University, Kharkov. Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 23, No. 3, pp. 66–82, May–June, 1982.

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Kamynin, I.P., Ostrovskii, I.V. Zero sets of entire Hermitian positive functions. Sib Math J 23, 344–357 (1982). https://doi.org/10.1007/BF00973491

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