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Fock Spaces

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Part of the book series: Graduate Texts in Mathematics ((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.

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Zhu, K. (2012). Fock Spaces. In: Analysis on Fock Spaces. Graduate Texts in Mathematics, vol 263. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8801-0_2

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