By Ball J.A., Bolotnikov V.
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Extra resources for A Bitangential Interpolation Problem on the Closed Unit Ball for Multipliers of the Arveson Space
1997), pages 89-138, OT 122, Birkhauser-Verlag, Basel-Boston-Berlin, 2001.  V. , to appear. Vol. 46 (2003) Bitangential Interpolation 163  V. Bolotnikov and H. Dym, On degenerate interpolation, entropy and extremal problems for matrix Schur functions, Integral Equations Operator Theory, 32 (1998), No. 4, 367–435.  V. Bolotnikov and H. Dym, On boundary interpolation for matrix Schur functions, Preprint MCS99-22, Department of Mathematics, The Weizmann Institute of Science, Israel. I.
24) and that −1 (I − T Σ22 ) T Σ21 (I − ZΣ111 )−1 ZΣ112 (I − T Θ22 ) −1 = (I − T Θ22 ) − (I − T Σ22 ) −1 −1 . 16). 20) of Σ that the function Σ21 (z) is a Schur function. 21) belongs to Bd (E, ). 22) can be considered as the Vol. 46 (2003) Bitangential Interpolation 159 Redheﬀer transform of the Schur function Z(z). 20). 7. Appendix: a numerical example In conclusion we illustrate the general construction done in Sections 4 and 5 by a simple numerical example. 1) r→1 and 1 − |S(rβ1 )|2 1 − |S(rβ1 )|2 ≤ 1, lim ≤ 5.
G. Kre˘ın, Some questions in the theory of moments, Article II, Translations of Mathematical Monographs, Amer. Math. , 1962.  D. Alpay, V. Bolotnikov and T. Kaptano˘ glu, The Schur algorithm and reproducing kernel Hilbert spaces in the ball, Linear Algebra Appl. 342 (2002), 163–186.  D. Alpay and C. , to appear.  A. Arias and G. Popescu, Noncommutative interpolation and Poisson transforms, Israel J. Math. 115 (2000), 205–234.  N. Aronszajn, Theory of reproducing kernels, Trans. Amer.
A Bitangential Interpolation Problem on the Closed Unit Ball for Multipliers of the Arveson Space by Ball J.A., Bolotnikov V.