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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
Article
  • 48 Downloads

Key words

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

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Bibliography

  1. 1.
    S. Konyagin and I. Shparlinski, Character Sums with Exponential Functions and their Applications, Cambridge Univ. Press, Cambridge, 1999.MATHGoogle Scholar
  2. 2.
    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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