Graduate/Faculty Seminar
Friday, September 17, 1999, 4:00pm, 120 Physics
Jonathan Bihari (Duke University Department of Mathematics)
Frames: Non-Orthogonal Expansions

Abstract:

Given a function, f, in a (separable) Hilbert space, H, we often wish to expand it in terms of simpler functions, for example sines and cosines in elementary Fourier analysis or orthonormal bases in more general settings. Frames provide another method of doing this and relax the condition of orthogonality. This is useful in the context of wavelets, where the construction of an orthonormal basis may be difficult. However, in such cases, frames provide alternate methods.

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