Spherical contractions and interpolation problems on the unit ball

By J. Eschmeier, Mihai Putinar. 2002

58 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4243fa5c4f6f5af3687889878e97e386e166665f

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Operator Theory and Function Theory in Drury–Arveson Space and Its Quotients (2013, background): “For a proof and additional characterizations, see [33, Section 2] (see also [8, 63]).”
Free holomorphic functions and interpolation (2007, background): “The Nevanlinna-Pick interpolation problem has been studied further by several authors and generalized to various settings (see [46], [44], [1], [12], [32], [2], [8], [11], [37], [20], and the references there in).”
POSITIVE POLYNOMIALS IN SCALAR AND MATRIX VARIABLES, THE SPECTRAL THEOREM AND OPTIMIZATION (2006, background): “See for instance [AM02, BT98, CW99, EP02 ] and in several non-commuting”
Interpolation and transfer-function realization for the noncommutative Schur-Agler class (2016, background): “Section 5 reviews material from [23] concerning noncommutative reproducing kernel Hilbert spaces, identifies a class of kernels kQ0 for which the associated Schur-Agler class SAQ0(U ,Y) coincides with the contractive multiplier class BM(kQ0 ⊗IU , kQ0 ⊗IY) (multiplication operators mapping the reprod”
On the index of invariant subspaces in spaces of analytic functions of several complex variables (2005, background): “We refer the reader to [2], [5], [13], and [19].”
Operator Theory on Noncommutative Domains (2007, unknown): “Let us mention that, recently, interpolation problems for F∞ n and related interpolation problems on the unit ball of C were also considered in [3], [14], [15], [16], [79], [80], [42], and [82].”
Entropy and Multivariable Interpolation (2003, background): “W ∞ n ) and interpolation problems on the unit ball B n were also considered in [1], [49], [50], [52], [8], [53], [54], [55], [9], and [20] .”
Characteristic Function of a Pure Commuting Contractive Tuple (2005, background): “If E is a complex Hilbert space, we follow the notation of [4] and define O(Bn, E) to be the class of all E-valued analytic functions on B.”
Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls (2007, background): “For more recent work see for instance, [3,10], and [19].”