A Theorem of Beurling-sLax Type for Hilbert Spaces of Functions Analytic in the Unit Ball View Full Text


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Article Info

DATE

2003-11

AUTHORS

D. Alpay, A. Dijksma, J. Rovnyak

ABSTRACT

Schur multipliers on the unit ball are operator-valued functions for which the N-variable Schwarz-Pick kernel is nonnegative. In this paper, the coefficient spaces are assumed to be Pontryagin spaces having the same negative index. The associated reproducing kernel Hilbert spaces are characterized in terms of generalized difference-quotient transformations. The connection between invariant subspaces and factorization is established. More... »

PAGES

251-274

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00020-002-1161-4

DOI

http://dx.doi.org/10.1007/s00020-002-1161-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1000079453


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