• search hit 1 of 4
Back to Result List

Rank-M Frame Multipliers and Optimality Criterions for Density Operators of Rank M

  • Ever since the introduction of frames in 1952 [4], the connection between frame theory and decompositions of certain operators, particularly the identity operator, into rank-ones began to be elaborated. Abandoning the idea of restricting to tight frame-like expansions, with respect to systems arising from a single template function, one is led to the concept of resolutions of the identity, with respect to more general systems than the usual rank-one expansions of the identity. In this study, we will investigate various notions of possible generalizations of optimality criterions for rank-M frames and corresponding multipliers. Explicitly, we will lay stress on continuous M-frames, arising from irreducible group representations of locally compact groups, have a look at its connection to time-frequency analysis and comment on adequate notions of optimality.

Export metadata

Additional Services

Search Google Scholar
Metadaten
Author:Daniel Lantzberg
DOI:https://doi.org/10.1007/978-3-319-12577-0_76
ISBN:978-3-319-12576-3
Parent Title (English):Current Trends in Aanalysis and Its Applications
Publisher:Springer
Document Type:Part of a Book
Language:English
Year of Completion:2013
Release Date:2015/03/18
Tag:Frames; Locally Compact Groups; Multipliers; Operator Approximation; Uncertainty Principle
GND Keyword:Mathematik; Aufsatzsammlung
Volume:2015
Page Number:10
First Page:695
Last Page:704
Urheberrecht:1
Institutes:Einrichtungen / ZeWiS
Licence (German):Keine Lizenz - es gilt das deutsche Urheberrecht
Einverstanden ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.