A survey on frame representations via dynamical sampling
O Christensen, M Hasannasab - arXiv preprint arXiv:2201.00038, 2021 - arxiv.org
Dynamical sampling deals with representations of a frame $\{f_k\} _ {k= 1}^\infty $ as an orbit
$\{T^ n\varphi\} _ {n= 0}^\infty $ of a linear and possibly bounded operator $ T $ acting on the …
$\{T^ n\varphi\} _ {n= 0}^\infty $ of a linear and possibly bounded operator $ T $ acting on the …
A Survey on Frame Representations and Operator Orbits
O Christensen, M Hasannasab - … Signal Analysis: Harmonic Analysis in the …, 2024 - Springer
The purpose of this chapter is to give an overview of results in the literature dealing with
operator representations of frames. The topic is connected with dynamical sampling (see the …
operator representations of frames. The topic is connected with dynamical sampling (see the …
Orbits of bounded bijective operators and Gabor frames
R Corso - Annali di Matematica Pura ed Applicata (1923-), 2021 - Springer
This paper is a contribution to frame theory. Frames in a Hilbert space are generalizations of
orthonormal bases. In particular, Gabor frames of L^ 2 (R) L 2 (R), which are made of …
orthonormal bases. In particular, Gabor frames of L^ 2 (R) L 2 (R), which are made of …
Truncations of generalized shift-invariant systems
O Christensen, PG Alvarez, RY Kim - Canadian Mathematical …, 2024 - cambridge.org
We provide conditions under which a generalized shift-invariant (GSI) system can be
approximated by a GSI system for which the generators have compact support in the Fourier …
approximated by a GSI system for which the generators have compact support in the Fourier …