Perturbations of Banach Frames and Atomic Decompositions

By Oel Christensen, Christopher Heil. 2009

129 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computer Vision and Pattern Recognition, Geophysics

View Paper: https://www.semanticscholar.org/paper/1259c1ad4c716c97b6b339955ef86ee1b3b81118

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Marzieh Hasannasab
2. Asghar Rahimi
3. Abbas Najati
4. E. Rashidi
5. Ole W. Christensen
6. M. Faroughi
7. Peter G. Casazza
8. Norbert Kaiblinger

In Computer Vision and Pattern Recognition

1. Ole W. Christensen
2. Marzieh Hasannasab
3. Norbert Kaiblinger
4. Karlheinz Gröchenig
5. Yu Can Zhu

In Geophysics

1. Norbert Kaiblinger
2. Yu Can Zhu
3. Karlheinz Gröchenig

Citations in the corpus

• Dynamical sampling and frame representations with bounded operators (2018, background): “The result now follows from the perturbation results in [9, 10] (or [6], page 565).”
• G-FRAMES AND STABILITY OF G-FRAMES IN HILBERT SPACES (2008, background): “The following theorem is a generalization of a result in [5].”
• Banach frames for α-modulation spaces (2007, unknown): “As we will see, this will cause significant technical difficulties for the characterization of Banach spaces, which we can solve only by the use of the auxiliary construction of simpler frames and the applications of suitable perturbation results [8].”