Generalised cosine functions, basis and regularity properties
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Publication:530302
DOI10.1016/J.JMAA.2016.06.024zbMath1344.30002arXiv1511.01114OpenAlexW2280946293WikidataQ57937383 ScholiaQ57937383MaRDI QIDQ530302
Houry Melkonian, Lyonell Boulton
Publication date: 29 July 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.01114
Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Exponential and trigonometric functions (33B10) Completeness problems, closure of a system of functions of one complex variable (30B60)
Related Items (5)
Basis and regularity properties of ( p , q )-trigonometric functions and the decay of ( p , q )-Fourier coefficients ⋮ Basis properties of p-exponential function of Lindqvist and Peetre type ⋮ Basis properties of Fučík eigenfunctions for the Neumann Laplacian ⋮ Remarkable properties of the \(\operatorname{sinc}_{p,q}\) functions and related integrals ⋮ The eigenvalues and eigenfunctions of the non-linear equation associated to second order Sobolev embeddings
Cites Work
- Basis properties of generalized trigonometric functions
- Remarks on generalized trigonometric functions
- Eigenvalues, embeddings and generalised trigonometric functions
- Properties of generalized trigonometric functions
- The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
- Perturbation theory for linear operators.
- Basis properties of eigenfunctions of the 𝑝-Laplacian
- Approximation properties of the q -sine bases
- Basis properties of the p , q -sine functions
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