Products of Nevanlinna-Pick kernels and operator colligations

Integral Equations and Operator Theory

Volumn 38, Issue 3, 2000, Pages 350-356

  Tomerlin, Andrew T ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034360843     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01291719     Document Type: Article

References (6)

1. J.Agler, On the representation of certain holomorphic functions defined on the polydisk, in Topics in Operator Theory: Ernst D. Hellinger Memorial Volume (L. de Branges, I. Gohberg, and J. Rovnyak, eds.), Operator Theory and Applications, vol. 48, Birkhauser-Verlag, Basel, 1990, pp. 46-47.
2. _, Nevanlinna-Pick interpolation on Sobolev space, Proc. Amer. Math. Soc. 108 (1990), 341-351.
3. J.A. Ball and T.T. Trent, Unitary Colligations, Reproducing Kernel Hilbert Spaces, and Nevanlinna-Pick Interpolation in Several Variables, Journal of Functional Analysis 157 (1998), 1-61.
4. D.Alpay, A.Dijksma, J.Rovnyak, and H. de Snoo, Schur functions, operator colligations, and reproducing kernel Pontryagin spaces, Operator Theory: Advances and Applications, Birkhauser-Verlag Basel, 1997.
5. R.S. Clancy, S. McCullough, Protective modules and Hilbert spaces with a Nevanlinna-Pick kernel, Proc. Amer. Math.Soc. 126 (1998), 3299-3305.
6. J.A Ball, T. Trent, and V. Vinnikov, Interpolation and commutant lifting for multipliers on reproducing kernel hilbert spaces, preprint submitted for publication.