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Interpolation in semigroupoid algebras
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Veröffentlicht/Copyright:
7. August 2007
Abstract
A seminal result of Agler characterizes the so-called Schur-Agler class of functions on the polydisk in terms of a unitary colligation transfer function representation. We generalize this to the unit ball of the algebra of multipliers for a family of test functions over a broad class of semigroupoids. There is then an associated interpolation theorem. Besides leading to solutions of the familiar Nevanlinna-Pick and Carathéodory-Fejér interpolation problems and their multivariable commutative and noncommutative generalizations, this approach also covers more exotic problems.
Received: 2005-07-18
Revised: 2006-02-14
Published Online: 2007-08-07
Published in Print: 2007-06-27
© Walter de Gruyter
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Artikel in diesem Heft
- Interpolation in semigroupoid algebras
- Anticyclotomic main conjectures for CM modular forms
- On the faithfulness of parabolic cohomology as a Hecke module over a finite field
- On the Maillet-Baker continued fractions
- On the density of rational and integral points on algebraic varieties
-
Products of matrices
and and the distribution of reduced quadratic irrationals - Hodge metrics and positivity of direct images
- A cohomological stability result for projective schemes over surfaces
- Equidistribution de sous-variétés spéciales II
-
Extension operators for real analytic functions on compact subvarieties of
- Correction to the paper: Convergence properties of the Yang-Mills flow on Kähler surfaces
Artikel in diesem Heft
- Interpolation in semigroupoid algebras
- Anticyclotomic main conjectures for CM modular forms
- On the faithfulness of parabolic cohomology as a Hecke module over a finite field
- On the Maillet-Baker continued fractions
- On the density of rational and integral points on algebraic varieties
-
Products of matrices
and and the distribution of reduced quadratic irrationals - Hodge metrics and positivity of direct images
- A cohomological stability result for projective schemes over surfaces
- Equidistribution de sous-variétés spéciales II
-
Extension operators for real analytic functions on compact subvarieties of
- Correction to the paper: Convergence properties of the Yang-Mills flow on Kähler surfaces
