Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

Date

2002-01-01

Author

Alpay, D
Kaptanoglu, HT

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We solve Gleason's problem in the reproducing kernel Hilbert space with reproducing kernel 1/(1 - Sigma(1)(N) z(j)w(j)*). We define and study some finite-dimensional resolvent-invariant subspaces that generalize the finite-dimensional de Branges-Rovnyak spaces to the setting of the ball.

Subject Keywords

Algebra and Number Theory, Analysis

URI

https://hdl.handle.net/11511/65570

Journal

INTEGRAL EQUATIONS AND OPERATOR THEORY

DOI

https://doi.org/10.1007/bf01203020

Collections

Department of Mathematics, Article

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Citation Formats

D. Alpay and H. Kaptanoglu, “Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem,” INTEGRAL EQUATIONS AND OPERATOR THEORY, pp. 1–21, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65570.