The comparison theorem for Hilbert spaces of entire functions

DOI10.1007/BF01691918zbMath0531.46020OpenAlexW2069000795MaRDI QIDQ788242

Louis de Branges

Publication date: 1983

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01691918

zbMATH Keywords

eigenfunction expansionsFourier transformationHilbert spaces of entire functionsSturm comparison theoremvector valued functionsformally self-adjoint differential operatorsHilbert- or Volterra-type operators

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (7)

Nodal Hilbert spaces of analytic functions ⋮ On Parseval Frames of Kernel Functions in de Branges Spaces of Entire Vector Valued Functions ⋮ Applications of de Branges Spaces of Vector-Valued Functions ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. I: Foundations ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. II: The inverse monodromy problem ⋮ \(J\)-inner matrix functions, interpolation and inverse problems for canonical systems. III: More on the inverse monodromy problem ⋮ Hilbert spaces of analytic functions, inverse scattering and operator models. I

Cites Work

• On an extension problem, generalized Fourier analysis, and an entropy formula
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