Completeness and Basis Properties of Complex Exponentials

DOI10.2307/1999346zbMath0513.42011OpenAlexW4242129257MaRDI QIDQ3658491

Robert M. Young, Raymond M. Redheffer

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999346

zbMATH Keywords

Riesz basiscompletenesscomplex exponentialsexcessexactnessdeficiencyclosednessbiorthogonalbasis properties

Mathematics Subject Classification ID

Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (13)

Nonharmonic Fourier Series and Spectral Theory ⋮ Determinantal processes and completeness of random exponentials: the critical case ⋮ Characterizing Riesz bases via biorthogonal Bessel sequences ⋮ Constructing Riesz-Fischer sequences from a Minimal sequence in a Hilbert space ℋ ⋮ Reconstruction of Signals: Uniqueness and Stable Sampling ⋮ On a Theorem of Ingham on Nonharmonic Fourier Series ⋮ Completeness and basis properties of systems of exponentials in weighted spaces \(L^{p}(-\pi,\pi)\) ⋮ Functional analysis. Transl. from the Russian ⋮ On the excess of complex exponential systems in \(L^2(-a,a)\) ⋮ Interpolation in Bernstein and Paley-Wiener spaces ⋮ Dynamics of delayed neural field models in two-dimensional spatial domains ⋮ Completeness of systems of complex exponentials and the Lambert 𝑊 functions ⋮ Undersampled windowed exponentials and their applications

Cites Work

• Completeness of sets of complex exponentials
• The excess of sets of complex exponentials
• On Complete Biorthogonal Systems
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