Two-parameter lifting theorems and double Hilbert transforms in commutative and non-commutative settings

DOI10.1016/0022-247X(90)90115-VzbMath0718.47011MaRDI QIDQ2639311

Cora Sadosky, Mischa Cotlar

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Nehari theoremdouble Hilbert transformNagy-Foias lifting theoremgeneralized Bochner theorembounded invariant forms in scattering systemsdual of the Heisenberg groupextension property of forms invariant under a 1-parameter unitary group

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear operator methods in interpolation, moment and extension problems (47A57) Scattering theory of linear operators (47A40)

Related Items (6)

Representation of measurable positive definite generalized Toeplitz kernels in \(\mathbb{R}\) ⋮ Generalized Bochner theorem and Levy-Khinchine representation for completely positive definite generalized Toeplitz kernels ⋮ Relative convolutions. I: Properties and applications ⋮ Toeplitz liftings of Hankel forms bounded by non-Toeplitz norms ⋮ Interpolation and prediction problems for connected compact abelian groups ⋮ Abstract, weighted, and multidimensional Adamjan-Arov-Krein theorems, and the singular numbers of Sarason commutants

Cites Work

• On bounded bilinear forms
• Prediction theory and Fourier series in several variables
• Représentations tempérées des groupes de Lie nilpotents. (Tempered representations of nilpotent Lie groups)
• Singular integrals on product spaces
• A lifting theorem for subordinated invariant kernels
• Lifting properties, Nehari theorem and Paley lacunary inequality
• A problem in prediction theory
• An algebra of pseudodifferential operators and quantum mechanics in phase space
• Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II
• Harmonic analysis of the de Rham complex on the sphere.
• H² spaces of generalized half-planes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Two-parameter lifting theorems and double Hilbert transforms in commutative and non-commutative settings