Zero sets of entire functions of exponential type with additional conditions on the real axis
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S. Yu. Favorov
Translated by: the author - St. Petersburg Math. J. 20 (2009), 95-100
- DOI: https://doi.org/10.1090/S1061-0022-08-01039-X
- Published electronically: November 13, 2008
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Abstract:
A complete description of the zero sets is obtained for some well-known classes of entire functions of exponential growth.References
- B. Ya. Levin, Distribution of zeros of entire functions, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1956 (Russian). MR 0087740
- B. Ya. Levin, Lectures on entire functions, Translations of Mathematical Monographs, vol. 150, American Mathematical Society, Providence, RI, 1996. In collaboration with and with a preface by Yu. Lyubarskii, M. Sodin and V. Tkachenko; Translated from the Russian manuscript by Tkachenko. MR 1400006, DOI 10.1090/mmono/150
- Paul Koosis, The logarithmic integral. I, Cambridge Studies in Advanced Mathematics, vol. 12, Cambridge University Press, Cambridge, 1988. MR 961844, DOI 10.1017/CBO9780511566196
- B. N. Khabibullin, Completeness of systems of exponentials and sets of uniqueness, Bashkir. Univ., Ufa, 2006. (Russian)
Bibliographic Information
- S. Yu. Favorov
- Affiliation: Department of Mathematics, Kharkov National University, Svobody Square 4, Kharkov 61077, Ukraine
- MR Author ID: 189658
- ORCID: 0000-0002-4687-776X
- Email: favorov_s@mail.ru, fav@univer.kharkov.ua
- Received by editor(s): July 7, 2006
- Published electronically: November 13, 2008
- © Copyright 2008 American Mathematical Society
- Journal: St. Petersburg Math. J. 20 (2009), 95-100
- MSC (2000): Primary 30D15; Secondary 30D10, 30D45
- DOI: https://doi.org/10.1090/S1061-0022-08-01039-X
- MathSciNet review: 2411971