Functions universal with respect to the trigonometric system
M. G. Grigoryan, L. N. Galoyan
Abstract
Abstract We construct an integrable function whose Fourier series possesses the following property. After an appropriate choice of signs of the coefficients of this series, the partial sums of the resulting series are dense in , .
Topics & Concepts
Integrable systemTrigonometric seriesFourier seriesSeries (stratigraphy)MathematicsProperty (philosophy)Pure mathematicsConstruct (python library)Trigonometric functionsLocally integrable functionFunction (biology)TrigonometryMathematical analysisComputer scienceGeometryPhilosophyBiologyEvolutionary biologyPaleontologyEpistemologyProgramming languageDifferential Equations and Boundary Problemsadvanced mathematical theoriesAdvanced Harmonic Analysis Research