English

Fiber Bundles and Parseval Frames

Functional Analysis 2015-12-15 v1

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.

Keywords

Cite

@article{arxiv.1512.03989,
  title  = {Fiber Bundles and Parseval Frames},
  author = {Devanshu Agrawal and Jeff Knisley},
  journal= {arXiv preprint arXiv:1512.03989},
  year   = {2015}
}
R2 v1 2026-06-22T12:08:14.478Z