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**

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Bolotnikov and H. Dym, On boundary interpolation for matrix Schur functions, Preprint MCS99-22, Department of Mathematics, The Weizmann Institute of Science, Israel. I. V. Gusev and A. Lindquist, From finite covariance windows to modeling filters: a convex optimization approach, SIAM Review 43(4) (2001), 645-675. ¨ [21] C. Carath´eodory, Uber die Winkelderivierten von beschr¨ ankten analytischen Funktionen, Sitzungber. Preuss. Akad. Wiss. 4 (1929), 1–18. [22] K. R. Davidson and D. R. Pitts, Nevanlinna–Pick interpolation for non-commutative analytic Toeplitz algebras, Integral Equations Operator Theory 31 (1998), no.

The space H(kd , E, E∗ ) can (and will) be identiﬁed with the tensor product Hilbert space H(kd ) ⊗ L(E, E∗ ). For multiindicies n = (n1 , . . , nd ) ∈ Nd we shall use the standard notations n1 + n2 + . . n2 ! . nd ! , z1n1 z2n2 . . zdnd = z n . Vol. 8]) that in the metric of H(kd ), n! if n=m z n , z m H(kd ) = |n|! 6) n! ∗ Fn Fn ∈ L(E) . |n|! The next step is to introduce the operator–valued sesquilinear form n! ∗ [X, Y ]H(kd ) = Y Xn , |n|! 7) n∈N which makes sense and is L(E1 , E2 )-valued for every choice of Yn z n ∈ H(kd , E1 , E) Y (z) = Xn z n ∈ H(kd , E2 , E).

T. Trent and V. A. Kaashoek Anniversary Volume (Workshop in Amsterdam, Nov. 1997), pages 89-138, OT 122, Birkhauser-Verlag, Basel-Boston-Berlin, 2001. [17] V. , to appear. Vol. 46 (2003) Bitangential Interpolation 163 [18] 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. [19] V. Bolotnikov and H. Dym, On boundary interpolation for matrix Schur functions, Preprint MCS99-22, Department of Mathematics, The Weizmann Institute of Science, Israel.