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

Authors

  • M. Tatari Department of Mathematics, Payame Noor University, Bojnourd
  • S. M. Vaezpour Department of Mathematics, Amirkabir University of Technology, Tehran
  • A. Pishinian Department of Mathematics, Payame Noor University, Bojnourd

DOI:

https://doi.org/10.26713/cma.v1i2.117

Keywords:

Generalized Fock space, Atomic decomposition, Frame

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.

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Issue

Vol. 1 No. 2 (2010)

Section

Research Article

License

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How to Cite

Tatari, M., Vaezpour, S. M., & Pishinian, A. (2010). On Some Properties of Generalized Fock Space $F^2(dv_\alpha)$ by Frame Theory on the $C^n$. Communications in Mathematics and Applications, 1(2), 105-111. https://doi.org/10.26713/cma.v1i2.117