Hilbert spaces of analytic functions of infinitely many variables

• Autorzy: O. V. Lopushansky , A. V. Zagorodnyuk
• Języki publikacji: EN

Abstrakty

EN

We study spaces of analytic functions generated by homogeneous polynomials from the dual space to the symmetric Hilbertian tensor product of a Hilbert space. In particular, we introduce an analogue of the classical Hardy space H² on the Hilbert unit ball and investigate spectral decomposition of unitary operators on this space. Also we prove a Wiener-type theorem for an algebra of analytic functions on the Hilbert unit ball.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 46G25: (Spaces of) multilinear mappings, polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 81
• Numer: 2
• Strony: 111-122

Daty

wydano

2003

Twórcy

autor

O. V. Lopushansky

• Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

autor

A. V. Zagorodnyuk

• Institute for Applied Problems, of Mechanics and Mathematics, Ukrainian Academy of Sciences, 3b, Naukova St., 79053, Lviv, Ukraine

Identyfikatory

DOI

10.4064/ap81-2-2