Abstract
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.
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The first author would like to thank the Internal Awards Program at USF for support during work on this project. The second author would like to thank the Allegheny College Academic Support Committee for funding while this work was being developed. The third author was supported in part by the National Science Foundation grant DMS-0500916.
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Bénéteau, C., Carswell, B.J. & Kouchekian, S. Extremal Problems in the Fock Space. Comput. Methods Funct. Theory 10, 189–206 (2010). https://doi.org/10.1007/BF03321762
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DOI: https://doi.org/10.1007/BF03321762