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Fock Spaces

  • Kehe Zhu
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 263)

Abstract

In this chapter, we define Fock spaces and prove basic properties about them. The following topics are covered in this chapter: reproducing kernel, integral representation, duality, complex interpolation, atomic decomposition, translation invariance, and a version of the maximum modulus principle.

Keywords

Integral Operator Entire Function Composition Operator Heisenberg Group Closed Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Kehe Zhu
    • 1
  1. 1.Department of Mathematics and StatisticsState University of New YorkAlbanyUSA

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