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2013 Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group
Oleh Lopushansky
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/810735


We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group. With the help of this system, a corresponding Hardy-type space of square-integrable complex functions is described. An antilinear isomorphism between the Hardy-type space and an associated symmetric Fock space is established.


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Oleh Lopushansky. "Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group." Abstr. Appl. Anal. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095379
MathSciNet: MR3081580
Digital Object Identifier: 10.1155/2013/810735

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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