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Prolongations and Cyclic Vectors

Prolongations and Cyclic Vectors For functions belonging to invariant subspaces of the backward shift operator Bf:= (f − f(0))/z on spaces of analytic functions on the unit disk D, we explore, in a systematic way, the continuation properties of these functions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

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Publisher
Springer Journals
Copyright
Copyright © Heldermann  Verlag 2003
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/bf03321049
Publisher site
See Article on Publisher Site

Abstract

For functions belonging to invariant subspaces of the backward shift operator Bf:= (f − f(0))/z on spaces of analytic functions on the unit disk D, we explore, in a systematic way, the continuation properties of these functions.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 1, 2004

Keywords: Backward shift operator; analytic continuation; pseudocontinuation; 30B40; 47B38

References