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Computational Methods and Function Theory 3 (2003), No. 2, 453--483
Copyright Heldermann Verlag 2003

Prolongations and Cyclic Vectors

William T. Ross
wross@richmond.edu , Department of Mathematics and Computer Science, University of Richmond, Richmond, Virginia 23173, U.S.A.

Harold S. Shapiro
shapiro@math.kth.se , Mathematics Institute, Royal Institute of Technology, S 10044 Stockholm, Sweden.

[Abstract-pdf] [Abstract-ps]

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.

Keywords: Backward shift operator, analytic continuation, pseudocontinuation.

MSC 2000: 30B40, 47B38.

[FullText-pdf (480 K)] [FullText-ps (424 K)]