Schur-Agler class rational inner functions on the tridisk
From MaRDI portal
Publication:3103280
DOI10.1090/S0002-9939-2011-10975-4zbMath1236.47012arXiv1010.0715MaRDI QIDQ3103280
Publication date: 7 December 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.0715
sums of squarestrigonometric polynomialsbidiskvon Neumann's inequalitypolydiskSchur-Agler classrational inner function
Linear operator methods in interpolation, moment and extension problems (47A57) Fourier series and coefficients in several variables (42B05)
Related Items
Multivariate orthogonal polynomials and integrable systems, Singularities of rational inner functions in higher dimensions, Fundamental Agler decompositions, A note on polydegree \((n, 1)\) rational inner functions, slice matrices, and singularities, Inner functions on the bidisk and associated Hilbert spaces, Rational Cayley inner Herglotz-Agler functions: positive-kernel decompositions and transfer-function realizations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable symmetric polynomials and the Schur-Agler class
- Rational inner functions in the Schur-Agler class of the polydisk
- Polynomials with no zeros on the bidisk
- Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
- Synthesis of two-dimensional lossless m-ports with prescribed scattering matrix
- On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
- A tangential interpolation problem on the distinguished boundary of the polydisk for the Schur--Agler class
- On factorization of trigonometric polynomials
- Factorization of multivariate positive Laurent polynomials
- Scattering systems with several evolutions and multidimensional input/state/output systems
- On the representation of hermitian forms as sums of squares
- Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables
- The extension problem for positive-definite functions
- Bernstein-Szeg\"o measures on the two dimensional torus
- Von Neumann's Inequality for Hilbert Space Operators
- Trigonometric moment problems for arbitrary finite subsets of $\mathbb Z^n$
- Von Neumann's Inequality for Commuting, Diagonalizable Contractions. I
- Ando's theorem and sums of squares
- Positive trigonometric polynomials and signal processing applications