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Discrete sets of uniqueness for entire functions of exponential type of several variables

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Literature Cited

  1. L. I. Ronkin, “The completeness of the systems of functions ei<λ,x> and the real sets of uniqueness of entire functions of several variables,” Funkts. Anal. Prilozhen.,5, No. 4, 86–87 (1971).

    Google Scholar 

  2. L. I. Ronkin, “On real sets of uniqueness for entire functions of several variables and completeness of the systems of functions ei<λ, x>,” Sib. Mat. Zh.,13, No. 3, 638–644 (1972).

    Google Scholar 

  3. L. I. Ronkin, “Discrete sets of uniqueness for entire functions of exponential type bounded for real values of the variables,” in: Math. Physics and Functional Analysis, No. 5, Fiz. Tekh. Inst. Nauk Tekh., Akad. Nauk Ukr. SSR, 11–26, Kharkov (1974).

    Google Scholar 

  4. V. N. Logvinenko, “Multidimensional counterparts of Cartwright's theorem,” Dokl. Akad. Nauk SSSR,12, No. 4, 17–24 (1974).

    Google Scholar 

  5. V. N. Logvinenko, “Cartwright-type theorem,” in: Theory of Functions, Functional Analysis, and Their Applications, No. 23, 85–100, Kharkov (1975).

  6. L. I. Ronkin, “On discrete sets of uniqueness for entire functions of several variables of exponential type,” Dokl. Akad. Nauk SSSR,218, No. 4, 764–767 (1974).

    Google Scholar 

  7. L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  8. H. Kneser, “Zur Theorie der gebrochenen Funktionen mehrerer Veränderlichen,” Jahr. Deutsch. Math. Verein,48, 1–38 (1938).

    Google Scholar 

  9. P. Lelong, “Metric properties of complex analytic varieties defined by an equation,” Ann. Scient. École Norm. Supér. (3)67, 393–419 (1950).

    Google Scholar 

  10. H. Rutishauser, “Über Folgen und Scharen von analytischen Abbildungen,” Akta Math.,83, 249–325 (1950).

    Google Scholar 

  11. W. K. Hayman, “Questions of regularity connected with the Phragmen-Lindelöf principle,” J. Math. Pures Appl.,35,No. 2, 115–126 (1956).

    Google Scholar 

  12. V. É. Katsnel'son and L. I. Ronkin, “On the minimal volume of an analytic set,” Sib. Mat. Zh.,15, No. 3, 516–528 (1974).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 1, pp. 142–152, January–February, 1978.

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Ronkin, L.I. Discrete sets of uniqueness for entire functions of exponential type of several variables. Sib Math J 19, 101–108 (1978). https://doi.org/10.1007/BF00967369

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  • DOI: https://doi.org/10.1007/BF00967369

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