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Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators

  • Published:2019-06 Issue: Volume:349 Page:992-1035
  • ISSN:0001-8708
  • Container-title:Advances in Mathematics
  • language:en
  • Short-container-title:Advances in Mathematics

Author:

Martínez–Finkelshtein Andrei,Simanek Brian,Simon Barry

Funder

Spanish Government and the European Regional Development Fund

Junta de Andalucía

University of Almería

NSF

BSF

Publisher

Elsevier BV

Subject

General Mathematics

Reference76 articles.

1. Conservative discrete time-invariant systems and block operator CMV matrices;Arlinskiı̌;Methods Funct. Anal. Topology,2009

2. Contractions with rank one defect operators and truncated CMV matrices;Arlinskiı̌;J. Funct. Anal.,2008

3. Schur parameters, Toeplitz matrices, and Kreın shorted operators;Arlinskiı̌;Integral Equations Operator Theory,2011

4. The Schur problem and block operator CMV matrices;Arlinskiı̌;Complex Anal. Oper. Theory,2014

5. Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras;Bonsall,1971

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Decomposable Blaschke products of degree 2ⁿ;Transactions of the American Mathematical Society;2023-06-13

2. Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a q-difference operator;Journal of Difference Equations and Applications;2023-03-04

3. Poncelet–Darboux, Kippenhahn, and Szegő: Interactions between projective geometry, matrices and orthogonal polynomials;Journal of Mathematical Analysis and Applications;2022-07

4. Zeros of quasi-paraorthogonal polynomials and positive quadrature;Journal of Computational and Applied Mathematics;2022-06

5. Ramanujan’s trigonometric sums and orthogonal polynomials on the unit circle;The Ramanujan Journal;2022-05-04
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