On the Relation Between Positive Definite Functions and Generalized Toeplitz Kernels

DOI10.2307/2160463zbMath0819.47035OpenAlexW4237208466MaRDI QIDQ4290794

Jürgen Friedrich

Publication date: 5 May 1994

Full work available at URL: https://doi.org/10.2307/2160463

zbMATH Keywords

extension problems for generalized Toeplitz kernelsextension problems for positive definite functionsgeneralized Toeplitz kernels may be represented as Fourier transforms of positive operator-valued measures

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Dilations, extensions, compressions of linear operators (47A20) Positive definite functions in one variable harmonic analysis (42A82) States of selfadjoint operator algebras (46L30) Positive definite functions on groups, semigroups, etc. (43A35)

Cites Work

• Local semigroups of contractions and some applications to Fourier representation theorems
• Integral Representations of Positive Definite Matrix-Valued Distributions on Cylinders
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