Explicit formula for the reproducing kernels for some weighted Fock spaces

Journal of Mathematical Analysis and Applications（2021）

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摘要

We introduce new weighted Fock spaces Fˆ−α2 identified to weighted Fock spaces F−α2 with equivalent norms. Then the study of the weighted Fock spaces F−α2 changes to that of the weighted Fock spaces Fˆ−α2. Moreover we can compute reproducing kernels for Fˆ−α2, explicitly.

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关键词

Fock spaces,Weighted Fock spaces,Confluent hypergeometric functions,Reproducing kernels

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