Fiber Bundles and Parseval Frames

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Publication:6268335

arXiv1512.03989MaRDI QIDQ6268335

Devanshu Agrawal, Jeff R. Knisley

Publication date: 12 December 2015

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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