On extensions of positive definite operator-valued functions

DOI10.1016/0034-4877(88)90004-3zbMath0681.43008OpenAlexW2085868957MaRDI QIDQ1823415

Jürgen Friedrich, Lutz Klotz

Publication date: 1988

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(88)90004-3

zbMATH Keywords

positive definite functionsbounded linear operatorsabelian topological groupoperator-valued measuresunitary extensionsgeneralized resolventspositive definite extensions

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Unitary representations of locally compact groups (22D10) Positive definite functions in one variable harmonic analysis (42A82) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (4)

The extension of positive definite operator-valued functions defined on a symmetric interval of an ordered group ⋮ Integral Representations of Positive Definite Matrix-Valued Distributions on Cylinders ⋮ The Kreĭn-Langer problem for Hilbert space operator valued functions on the band ⋮ Unitary extensions of two-parameter local semigroups of isometric operators and the Krein extension theorem

Cites Work

• Zur Reduktionstheorie in separablen Hilbert-Räumen
• Quelques problèmes non résolus de la théorie des fonctions caractéristiques
• Gaussian measures in Banach spaces
• Selfadjoint extension operators commuting with an algebra
• Reduction theory for unbounded closed operators in Hilbert space
• The extension problem for positive-definite functions
• Spektraldarstellung und Extrapolation einer Klasse von stationären stochastischen Prozessen
• Weighted H<scp>ardy</scp> Spaces on S<scp>iegel</scp>'s Half Planes
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