Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group | Zendy

Oleh Lopushansky | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Oleh Lopushansky

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/810735

Subject(s) - mathematics , pure mathematics , isomorphism (crystallography) , fock space , square integrable function , invariant (physics) , group (periodic table) , unitary state , type (biology) , hilbert space , hardy space , projective unitary group , unitary group , space (punctuation) , matrix group , symmetric group , complex projective space , projective space , mathematical physics , political science , philosophy , law , ecology , linguistics , chemistry , crystal structure , biology , quantum mechanics , physics , projective test , organic chemistry , crystallography

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research