Subspaces of de Branges spaces with prescribed growth

DOI10.1090/S1061-0022-07-00969-7zbMath1136.46020OpenAlexW1542440536MaRDI QIDQ5440778

Anton D. Baranov, Harald Woracek

Publication date: 5 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-07-00969-7

zbMATH Keywords

growth functionde Branges spacede Branges subspace

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (4)

de Branges Spaces and Growth Aspects ⋮ Bounds on order of indeterminate moment sequences ⋮ An inverse spectral theorem for Kreĭn strings with a negative eigenvalue ⋮ Order problem for canonical systems and a conjecture of Valent

Cites Work

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• Polynomials in the de Branges spaces of entire functions
• Pontryagin spaces of entire functions. I
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• Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
• De Branges spaces of entire functions closed under forming difference quotients
• Schrödinger operators and de Branges spaces.
• Fourier frames
• Hilbert spaces of entire functions and polynomials orthogonal on the unit circle
• Entire and meromorphic functions. With assistance from James E. Colliander
• Sonine spaces of entire functions
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• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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