×

Density theorems for mean periodic functions, a distributional approach. (English) Zbl 0719.42018

The author studies the structure of vector spaces generated by a countable family of exponential or quasipolynomial functions \(t\to t^ m\cdot e^{i\omega t}\), \(m=0,1,...\), \(\omega\in {\mathbb{R}}\). Under some regularity hypothesis several density and decomposition results are proved. They may be obtained for the investigation of vibrating membranes.

MSC:

42A75 Classical almost periodic functions, mean periodic functions
74K20 Plates
PDFBibTeX XMLCite