On Some Properties of Generalized Fock Space $F^2(dv_\alpha)$ by Frame Theory on the $C^n$

M. Tatari, S. M. Vaezpour, A. Pishinian

Abstract


We obtain a short and new sharp proof for atomic decomposition for Fock space on the $C^n$ by using the frame theory. In fact we show that the generalized Fock space $F^2(dv_\alpha)$ on the $C^n$ admit an atomic decomposition i.e every analytic function in this space can be presented as a linear combination of  "atoms" defined using the normalized reproducing kernel of this space.

Keywords


Generalized Fock space; Atomic decomposition; Frame

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DOI: http://dx.doi.org/10.26713%2Fcma.v1i2.117

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