Realization and interpolation for Schur–Agler-class functions on domains with matrix polynomial defining function in Cn
By Joseph A. Ball, Vladimir Bolotnikov. 2004
73 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/1f2011fb6d9f88b4a27184f96eb974f8b6e9f89b
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In Applied Mathematics
- Victor Vinnikov
- Dmitry S. Kaliuzhnyi-Verbovetskyi
- Gilbert J. Groenewald
- Joseph A. Ball
- Tanit Malakorn
- Gelu Popescu
- Petter Brand'en
- Joseph A. Ball
In Geometry and Topology
Citations in the corpus
- 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], [82], etc.”
- Foundations of Free Noncommutative Function Theory (2012, methodology): “) This is the nc version of the commutative multidimensional realization theorem of [10] and [13] for the linear nc function Q defining the domain of f , which in turn generalizes Agler’s seminal result on the polydisc [4], see also [19].”
- Conservative Structured Noncommutative Multidimensional Linear Systems (2005, background): “Similarly, the specialization of Theorem 5.3 to the case of full-structured conservative noncommutative multidimensional systems (Example 2.3) can be viewed as a noncommutative extension of the realization result of [ 12 ]( see also [7, 6]) for the special case o fC artan domains of Type I. Remark ”
- Global Holomorphic Functions in Several Noncommuting Variables (2015, unknown): “The extension to Gδ for scalar valued functions was first done by Ambrozie and Timotin [7]; Ball and Bolotnikov extended this result to functions of commuting operators in [9].”