Density theorems for almost periodic functions: a Hilbet space approach

DOI10.1016/0022-247X(87)90283-6zbMath0619.35065MaRDI QIDQ1089513

Vilmos Komornik

Publication date: 1987

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

zbMATH Keywords

polynomialsalmost periodic functionorthogonal complementdensity theoremsvibrating membranepositive measureperiodic functionszero meansmoothness property

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05) Almost and pseudo-almost periodic solutions to PDEs (35B15) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (4)

On the vibrations of a square membrane ⋮ On the orthogonal of a sum of periodic function spaces ⋮ Almost periodic functions and their applications: a survey of results and perspectives ⋮ Notes on some papers of V. Komornik on vibrating membranes

Cites Work

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• Oscillations of anharmonic Fourier series and the wave equation
• Periodic solutions of nonlinear vibrating strings and duality principles
• Oscillatory Phenomena Associated to Semilinear Wave Equations in One Spatial Dimension

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