Decompositions of frames and a new frame identity

Radu Balan; Peter G. Casazza; Dan Edidin; Gitta Kutyniok

doi:10.1117/12.615311

17 September 2005 Decompositions of frames and a new frame identity

Radu Balan, Peter G. Casazza, Dan Edidin, Gitta Kutyniok

Proceedings Volume 5914, Wavelets XI; 591417 (2005) https://doi.org/10.1117/12.615311
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

We analyze a fundamental question in Hilbert space frame theory: What is the optimal decomposition of a Parseval frame? We will see that this question impacts several famous unsolved problems in different areas of mathematics. As a step towards the solution of this question, we give a new identity which holds for all Parseval frames.

Citation Download Citation

Radu Balan, Peter G. Casazza, Dan Edidin, and Gitta Kutyniok "Decompositions of frames and a new frame identity", Proc. SPIE 5914, Wavelets XI, 591417 (17 September 2005); https://doi.org/10.1117/12.615311

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available