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Restrictions of analytic functions. I

Restrictions of analytic functions. II

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1975 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 48, pages 113-113 (issn: 0002-9939,

Authors: James Rovnyak; Marvin Rosenblum;

doi: 10.1090/s0002-9939-1975-0399924-9 , 10.2307/2040318 , 10.2307/2040134 , 10.1090/s0002-9939-1975-0399925-0 , 10.1090/s0002-9939-1975-0399926-2 , 10.2307/2040701

Restrictions of analytic functions. I

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Abstract

An isometric expansion is derived which recaptures any H 2 {H^2} function from a restriction of its boundary function to a Borel set.

Keywords

Toeplitz operators, Hankel operators, Wiener-Hopf operators, Special integral transforms (Legendre, Hilbert, etc.), Blaschke products, etc., \(H^p\)-classes

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