Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group
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 compl...
Main Author: | Oleh Lopushansky |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
|
Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/810735 |
Similar Items
-
Best Approximations in Hardy Spaces on Infinite-Dimensional Unitary Matrix Groups
by: Oleh Lopushansky
Published: (2014-01-01) -
A CLT Plancherel representations of the infinite-dimensional unitary group
by: Bufetov, Alexey, et al.
Published: (2013) -
A quantization of the harmonic analysis on the infinite-dimensional unitary group
by: Gorin, Vadim, et al.
Published: (2018) -
Uniqueness Results for the Infinite Unitary, Orthogonal and Associated Groups
by: Atim, Alexandru Gabriel
Published: (2008) -
The structure of certain unitary representations of infinite symmetric groups,
by: Lieberman, Arthur Larry
Published: (2005)