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An extremal problem for even positive definite entire functions of exponential type
Authors:D. V. Gorbachev  S. A. Strankovskii
Affiliation:(1) Tula State University, Russia
Abstract:We consider an extremal problem for even positive definite entire functions of exponential type with zero mean with power weight on the semiaxis. This problem is related to the multidimensional Jackson-Stechkin theorem in the space L 2(?n).
Keywords:entire function of exponential type  Bessel function  Fourier-Hankel transform  Jackson-Stechkin theorem  Paley-Wiener theorem
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