Mathematical Notes

, Volume 80, Issue 5–6, pp 881–884 | Cite as

On an extremal problem for periodic functions with small support

  • D. V. Gorbachev
  • M. V. Zakharova

Key words

continuous periodic function extremal problem entire function of exponential type gamma function beta function Paley-Wiener theorem 


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    S. Konyagin and I. Shparlinski, Character Sums with Exponential Functions and their Applications, Cambridge Univ. Press, Cambridge, 1999.MATHGoogle Scholar
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    N. N. Andreev, S. V. Konyagin, and A. Yu. Popov Mat. Zametki [Math. Notes], 60 (1996), no. 3, 323–332.MathSciNetGoogle Scholar
  3. 3.
    D. V. Gorbachev, Selected Problems in the Theory of Functions and Approximation theory and Their Applications [in Russian], Izd. TulGU, Tula, 2004.Google Scholar
  4. 4.
    H. Bateman and A. Erdélyi, Higher Transcendental Functions, vol. 1, McGraw-Hill, New York-Toronto-London, 1953; Russian transl.: Nauka, Moscow, 1965.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • D. V. Gorbachev
    • 1
  • M. V. Zakharova
    • 1
  1. 1.Tula State UniversityRussia

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