Abstract
Consider the space L 2(ℂn, dµn), where dµn is the Gaussian measure, and its Fock subspace F2(ℂn) consisting of all analytic (entire) functions in ℂn. We introduce the so-called truepoly-Fock spaces, and prove that L 2 (ℂn, dµn) is the direct sum of the Fock and all true-polyFock spaces.
This work was partially supported by CONACYT Project 3115P-E9607,México.
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Vasilevski, N.L. (2000). Poly-Fock Spaces. In: Adamyan, V.M., et al. Differential Operators and Related Topics. Operator Theory: Advances and Applications, vol 117. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8403-7_28
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DOI: https://doi.org/10.1007/978-3-0348-8403-7_28
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9552-1
Online ISBN: 978-3-0348-8403-7
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