Reflection positivity and Hankel operators -- The multiplicity free case

DOI10.1016/j.jfa.2022.109493OpenAlexW3160470118MaRDI QIDQ2135163

Jonas Schober, Maria Stella Adamo, Karl-Hermann Neeb

Publication date: 4 May 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08522

zbMATH Keywords

Hardy spaceHankel operatorCarleson measurereflection positive representation

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Operators on complex function spaces (47B91)

Cites Work

• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• The translation representation theorem
• Unitary representations of Lie groups with reflection symmetry
• Holomorphy and convexity in Lie theory
• Reflection positive one-parameter groups and dilations
• Reflection positivity and conformal symmetry
• The Poisson integral for generalized half-planes and bounded symmetric domains
• Interpolations by bounded analytic functions and the corona problem
• Harmonic analysis of operators on Hilbert space
• Reflection Positivity
• Hardy Spaces
• An Inverse Problem for Self-adjoint Positive Hankel Operators
• Reproducing Kernels and Beurling's Theorem
• Hankel Matrices
• Scattering theory
• Une Caracterisation Vectorielle-Metrique Des Espaces L¹
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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: Reflection positivity and Hankel operators -- The multiplicity free case