On two theorems of M. G. Krein concerning polynomials orthogonal on the unit circle

DOI10.1007/BF01236655zbMath0639.46026OpenAlexW1981799512MaRDI QIDQ1100399

Robert L. Ellis, Israel Gohberg, David C. Lay

Publication date: 1988

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236655

zbMATH Keywords

indefinite inner productFourier coefficientsspace of complex polynomials

Mathematics Subject Classification ID

Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items

Inertia theorems for operator pencils and applications, On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle, On time-dependent orthogonal polynomials on the unit circle, M. G. Krein's ideas in the theory of orthogonal polynomials, On contractions in spaces with an indefinite metric: G-norms and spectral radii, Orthogonal polynomials on the unit circle: distribution of zeros, Some properties of solutions of Yule-Walker type equations, Orthogonal systems related to infinite Hankel matrices

Cites Work

• On inversion of block Toeplitz matrices
• Invertible Selfadjoint Extensions of Band Matrices and Their Entropy
• Maximum entropy and the moment problem
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