Computational Methods and Function Theory 10 (2010), No. 1, 189--206
Copyright Heldermann Verlag 2010
Catherine Bénéteau
cbenetea@cas.usf.edu , University of South Florida, Department of Mathematics and Statistics, 4202 E. Fowler Ave., PHY114, Tampa, FL 33620, U.S.A.
Brent J. Carswell
brent.carswell@allegheny.edu , Allegheny College, Mathematics Department, 520 N. Main St., Meadville PA 16335, U.S.A.
Sherwin Kouchekian
skouchek@cas.usf.edu , University of South Florida, Department of Mathematics and Statistics, 4202 E. Fowler Ave., PHY114, Tampa, FL 33620, U.S.A.
This paper is devoted to examining some extremal problems in the Fock space. We discuss the order and type of Fock space functions and pose an extremal problem for a zero-based subspace corresponding to a finite zero set. We examine the zeros of the extremal function and solve an extremal problem for non-vanishing functions.
Keywords: Fock spaces, entire functions, extremal problems.
MSC 2000: Primary 30D15; Secondary 30E05
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