A multi-term basis criterion for families of dilated periodic functions

DOI10.4171/ZAA/1630zbMath1408.41012arXiv1708.08545WikidataQ128636121 ScholiaQ128636121MaRDI QIDQ1733181

Lyonell Boulton, Houry Melkonian

Publication date: 21 March 2019

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.08545

zbMATH Keywords

\(p\)-trigonometric functionsbases of dilated periodic functionsfull equivalence to the Fourier basis

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Approximation by other special function classes (41A30)

Related Items (2)

Basis properties of Fučik eigenfunctions ⋮ The eigenvalues and eigenfunctions of the non-linear equation associated to second order Sobolev embeddings

Cites Work

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• Remarks on generalized trigonometric functions
• Eigenvalues, embeddings and generalised trigonometric functions
• Properties of generalized trigonometric functions
• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Systems of dilated functions: completeness, minimality, basisness
• Addendum to: ``A Hilbert space Dirichlet series and systems of dilated functions in \(L_2(0,1)\)
• Basis properties of eigenfunctions of the 𝑝-Laplacian
• Basis properties of the p , q -sine functions

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