On the extension problem for continuous positive definite generalized Toeplitz kernels definite on a finite interval

DOI10.1007/BF01228040zbMath0939.47011MaRDI QIDQ1969514

Miron B. Bekker

Publication date: 5 July 2000

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

zbMATH Keywords

Krein's extension problempositive definite generalized Toeplitz kernelsuniqueness of extension

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operator methods in interpolation, moment and extension problems (47A57) Kernel operators (47B34)

Cites Work

• A lifting theorem for subordinated invariant kernels
• Local semigroups of contractions and some applications to Fourier representation theorems
• Toeplitz liftings of Hankel forms bounded by non-Toeplitz norms
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM
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