Frames in generalized Fock spaces |
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Authors: | R Radha D Venku Naidu |
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Institution: | Department of Mathematics, Indian Institute of Technology, Chennai-600 036, India |
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Abstract: | Let A denote a real linear transformation on Cn which is symmetric and positive-definite relative to the real inner product Re〈z,w〉, z,w∈Cn. Let FA(Cn) denote the Fock space consisting of holomorphic functions on Cn which are square integrable with respect to the Gaussian measure . For w∈Cn, let , z∈Cn, where KA is the reproducing kernel for FA(Cn). The main aim of this paper is to show that there exist a,b>0 such that the set of functions forms a frame in FA. |
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Keywords: | Bargmann transform Frames Finite truncation of an operator Fock space Gabor frame Hilbert space Time-frequency analysis |
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