Fiber Bundles and Parseval Frames

Published 13 Dec 2015 in math.FA | (1512.03989v1)

Abstract: Continuous frames over a Hilbert space have a rich and sophisticated structure that can be represented in the form of a fiber bundle. The fiber bundle structure reveals the central importance of Parseval frames and the extent to which Parseval frames generalize the notion of an orthonormal basis.

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