Quick tour through Hilbert space

Before part III of forecasting with RSS+SVM+wavelets I thought it would help to give some useful concepts from Hilbert space. Attached is a very rough look, and also an application using orthogonal functions to model a stationary signal (Fourier series). This will contrast nicely with wavelets, which are most useful for non-stationary signals eg., stock indices.
hilbert space overview
Fourier series example

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