Basis properties of generalized trigonometric functions

DOI10.1016/j.jmaa.2014.06.015zbMath1311.46008OpenAlexW2054092613MaRDI QIDQ401110

Jan Lang, Petr Gurka, David E. Edmunds

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.06.015

zbMATH Keywords

generalized trigonometric functionsbasis properties

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)

Related Items

Basis and regularity properties of ( p , q )-trigonometric functions and the decay of ( p , q )-Fourier coefficients, Basis properties of Fučík eigenfunctions for the Neumann Laplacian, Keplerian trigonometry, Applications of generalized trigonometric functions with two parameters, Monotonicity properties and bounds for the complete \(p\)-elliptic integrals, Basis properties of Lindqvist-Peetre functions in \(L^r(0,1)^n\), Generalised cosine functions, basis and regularity properties

Cites Work

• Eigenvalues, embeddings and generalised trigonometric functions
• Properties of generalized trigonometric functions
• Basis properties of eigenfunctions of the 𝑝-Laplacian
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