Hardy‐Type Space Associated with an Infinite‐Dimensional Unitary Matrix Group

Oleh Lopushansky

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/810735

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:810735

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