Vol. 136, No. 2, 1989

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Canonical isometry on weighted Bergman spaces

Tomasz Mazur

Vol. 136 (1989), No. 2, 303–310
Abstract

We consider the spectral properties of a unitary operator called canonical isometry in the space of all holomorphic functions which are square integrable with respect to some measure on a domain in CN. Particularly, the correspondence of its eigenfunctions and fixed points of holomorphic automorphism is investigated.

Mathematical Subject Classification 2000
Primary: 46E15
Secondary: 32H10, 47B38, 32H05
Milestones
Received: 7 April 1987
Published: 1 February 1989
Authors
Tomasz Mazur