Bochner-type property on spaces of generalized almost periodic functions

DOI10.1007/s00009-020-01628-xzbMath1451.42013OpenAlexW3095616805MaRDI QIDQ2211726

Juan Matías Sepulcre, Tomás Vidal

Publication date: 12 November 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/109984

zbMATH Keywords

exponential sumsalmost periodic functionsFourier seriesBochner's theoremapproximation by trigonometric polynomialsStepanov almost periodic functionsBesicovitch almost periodic functionsWeyl almost periodic functionsBohr's equivalence relation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Classical almost periodic functions, mean periodic functions (42A75) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (5)

Equivalent almost periodic functions in terms of the new property of almost equality ⋮ A note on spaces of almost periodic functions with values in Banach spaces ⋮ The converse of Bohr's equivalence theorem with Fourier exponents linearly independent over the rational numbers ⋮ Stepanov and Weyl classes of \(c\)-almost periodic type functions ⋮ The class of \(c\)-almost periodic functions defined on vertical strips in the complex plane

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