Systems biorthogonal to exponential systems on a finite union of intervals

DOI10.1007/s00041-023-10002-wzbMath1523.46006arXiv2207.13336OpenAlexW4362604488MaRDI QIDQ6045758

Yurii Belov, Alexander I. Kuznetsov, Anton D. Baranov

Publication date: 12 May 2023

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13336

zbMATH Keywords

Paley-Wiener spacebiorthogonal systemexponential systemdisconnected spectrumYoung theorem

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

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• Revisiting Landau's density theorems for Paley-Wiener spaces
• Upper and lower densities of Gabor Gaussian systems
• Uniqueness of Gabor series
• Interpolation in Bernstein and Paley-Wiener spaces
• Complétude des noyaux reproduisants dans les espaces modèles. (Completeness of reproducing kernels in the model spaces)
• Fourier frames
• Combining Riesz bases
• On the closure of characters and the zeros of entire functions
• Systems of Reproducing Kernels and their Biorthogonal: Completeness or Incompleteness?
• Functions with Disconnected Spectrum
• On Complete Biorthogonal Systems
• The Young type theorem in weighted Fock spaces
• A simple construction of exponential bases in L² of the union of several intervals
• A sparse regular sequence of exponentials closed on large sets