Controlled finite continuous frames
Hafida Massit, Mohamed Rossafi, Choonkil Park
TL;DR
This paper introduces controlled finite continuous frames in finite-dimensional Hilbert spaces, exploring their properties, and characterizes operators that generate controlled integral finite frames, including Parseval cases.
Contribution
It presents the concept of controlled finite continuous frames, analyzes their properties, and characterizes operators for constructing controlled integral finite frames, including Parseval frames.
Findings
Introduction of controlled finite continuous frames
Characterization of operators for controlled integral frames
Analysis of properties of Parseval controlled frames
Abstract
In this paper, we present controlled finite continuous frames in a finite dimensional Hilbert space and we study some properties of them. Parseval controlled integral frames are presented and we characterize operators that construct controlled integral finite frames.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Spectral Theory in Mathematical Physics · Mathematical Analysis and Transform Methods