Hilbert Space Decomposition Properties of Complex Functions and Their Applications
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Published:2023-10-19
Issue:
Volume:
Page:676-683
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ISSN:2705-1056
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Container-title:Contemporary Mathematics
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language:
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Short-container-title:Contemp. Math.
Author:
Vovk Myroslava I.,Pukach Petro Ya.,Dilnyi Volodymyr M.,Prykarpatski Anatolij K.
Abstract
We analyzed the classical problem of decomposing the Hilbert space of holomorphic functions, especially their splitting into the product or sum of domain-separated components. For the Bergman space of analytical functions, we obtained a special decomposition satisfying the assigned growth degree properties. Concerning a general Hilbert space of analytical functions on a connected domain, we studied its α-invariant decomposition and related ergodic consequences. As an interesting consequence, we obtained the decomposition theorem for an ergodic α-mapping on the Bergman space of holomorphic functions.
Publisher
Universal Wiser Publisher Pte. Ltd
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics