Zobrazeno 1 - 10
of 1 021
pro vyhledávání: '"Christensen, Ole A."'
In 2016 Aldroubi et al. constructed the first class of frames having the form $\{T^k\varphi \}_{k=0}^\infty$ for a bounded linear operator on the underlying Hilbert space. In this paper we show that a subclass of these frames has a number of addition
Externí odkaz:
http://arxiv.org/abs/2312.11978
Autor:
Christensen, Ole, Hasannasab, Marzieh
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 underlying Hilbert space. It is known that the desire of bounde
Externí odkaz:
http://arxiv.org/abs/2201.00038
Autor:
Benavente, Ana, Christensen, Ole, Hasannasab, Marzieh, Kim, Hong Oh, Kim, Rae Young, Kovac, Federico D.
This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames $\{a^{j/2}\psi( a^j\cdot -kb)\}_{j,k\in \mathbb Z}$ in $L^2(\mathbb R)$ for which no dual frame has wavelet structure
Externí odkaz:
http://arxiv.org/abs/2107.03938
Autor:
Christensen, Ole, Hasannasab, Marzieh
A sequence $\{g_k\}_{k=1}^\infty$ in a Hilbert space $\cal H$ has the expansion property if each $f\in \overline{\text{span}} \{g_k\}_{k=1}^\infty$ has a representation $f= \sum_{k=1}^\infty c_k g_k$ for some scalar coefficients $c_k.$ In this paper
Externí odkaz:
http://arxiv.org/abs/2106.00511
Generalizing results by Halperin et al., Grivaux recently showed that any linearly independent sequence $\{f_k\}_{k=1}^\infty$ in a separable Banach space $X$ can be represented as a suborbit $\{T^{\alpha(k)}\varphi\}_{k=1}^\infty$ of some bounded op
Externí odkaz:
http://arxiv.org/abs/2103.07686
Autor:
Park, Woojin, Hammar, Arvid, Pak, Soojong, Chang, Seunghyuk, Gumbel, Jörg, Megner, Linda, Christensen, Ole Martin, Rouse, Jordan, Kim, Dae Wook
Publikováno v:
Applied Optics 59(17), 5335 - 5342 (2020)
We present optical characterization, calibration, and performance tests of the Mesospheric Airglow/Aerosol Tomography Spectroscopy (MATS) satellite, which for the first time for a satellite applies a linear-astigmatism-free confocal off-axis reflecti
Externí odkaz:
http://arxiv.org/abs/2007.03348
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Christensen, Ole, Hasannasab, Marzieh
It is known that it is a very restrictive condition for a frame $\{f_k\}_{k=1}^\infty$ to have a representation $ \{T^n \varphi\}_{n=0}^\infty$ as the orbit of a bounded operator $T$ under a single generator $\varphi\in\mathcal{H}.$ In this paper we
Externí odkaz:
http://arxiv.org/abs/1910.03535
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
We consider sequences in a Hilbert space $\mathcal H$ of the form $(T^nf_0)_{n\in I},$ with a linear operator $T$, the index set being either $I = \mathbb N$ or $I = \mathbb Z$, a vector $f_0\in \mathcal H$, and answer the following two related quest
Externí odkaz:
http://arxiv.org/abs/1804.03438