On selfadjoint homogeneous operators

DOI10.1007/S11785-011-0175-9zbMath1321.47047OpenAlexW2160346257MaRDI QIDQ371755

Miron B. Bekker, Borislava Bekker

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0175-9

zbMATH Keywords

selfadjoint operatoraffine transformationhomogeneous operator\(M\)-function

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Nevanlinna spaces and Smirnov spaces (30H15)

Related Items (1)

Quasi-invariance of the Dirichlet series kernels, analytic symbols and homogeneous operators

Cites Work

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• The Bergman kernel function
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• Spectral theory of ordinary differential operators
• New constructions of homogeneous operators
• On quasi-free Hilbert modules
• Spectral analysis of aq-difference operator
• Multiplicity-free homogeneous operators in the Cowen-Douglas class
• 𝑅-functions—analytic functions mapping the upper halfplane into itself
• Equivalence of quotient Hilbert modules–II
• Fundamental aspects of the representation theory of Hermitian operators with deficiency index (𝑚,𝑚)
• A classification of homogeneous operators in the Cowen-Douglas class

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