On completeness of random exponentials in the Bargmann–Fock space

DOI10.1063/1.1379311zbMath1009.42005OpenAlexW2089180574MaRDI QIDQ2774996

Gennadiy P. Chistyakov, Yurij I. Lyubarskij, Leonid Pastur

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1379311

zbMATH Keywords

completenessBargmann-Fock spacesystem of exponentialsrandom exponentialsergodic point field

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Probabilistic methods for one variable harmonic analysis (42A61) Completeness of sets of functions in one variable harmonic analysis (42A65) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (8)

Gabor frames with Hermite functions ⋮ Random sampling of bandlimited functions ⋮ Determinantal processes and completeness of random exponentials: the critical case ⋮ On completeness and minimality of random exponential system in a weighted Banach space of functions continuous on the real line ⋮ Zero Sets for Spaces of Analytic Functions ⋮ The spectrum of Schrödinger operators with random \(\delta \) magnetic fields ⋮ Random zero sets for Fock type spaces ⋮ Ginibre-type point processes and their asymptotic behavior

Cites Work

• Random perturbations of exponential Riesz bases in \(L^ 2(-\pi,\pi)\)
• A basis of weighted exponentials
• Completeness of sets of complex exponentials
• Lifschitz tail in a magnetic field: The nonclassical regime
• The nature of the spectrum for a Landau Hamiltonian with delta impurities
• Frames in the bargmann space of entire functions
• Electron states in a magnetic field and random impurity potential: use of the theory of entire functions
• The Beurling-Malliavin density of a random sequence
• Random Exponential Frames
• DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES

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