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pro vyhledávání: '"Lynch, Richard G."'
We extend the concept of weaving Hilbert space frames to the Banach space setting. Similar to frames in a Hilbert space, we show that for any two approximate Schauder frames for a Banach space, every weaving is an approximate Schauder frame if and on
Externí odkaz:
http://arxiv.org/abs/1511.06093
Autor:
Casazza, Peter G., Lynch, Richard G.
This is a short introduction to Hilbert space frame theory and its applications for those outside the area who want to enter the subject. We will emphasize finite frame theory since it is the easiest way to get into the subject.
Comment: AMS Sho
Comment: AMS Sho
Externí odkaz:
http://arxiv.org/abs/1509.07347
Autor:
Bemrose, Travis, Casazza, Peter G., Gröchenig, Karlheinz, Lammers, Mark C., Lynch, Richard G.
We study an intriguing question in frame theory we call "Weaving Frames" that is partially motivated by preprocessing of Gabor frames. Two frames $\{\varphi_i\}_{i\in I}$ and $\{\psi_i \}_{i\in I}$ for a Hilbert space ${\mathbb H}$ are woven if there
Externí odkaz:
http://arxiv.org/abs/1503.03947
Publikováno v:
In Applied and Computational Harmonic Analysis September 2020 49(2):451-470
The most fundamental notion in frame theory is the frame expansion of a vector. Although it is well known that these expansions are unconditionally convergent series, no characterizations of the unconditional constant were known. This has made it imp
Externí odkaz:
http://arxiv.org/abs/1405.6656
Finite frame theory has become a powerful tool for many applications of mathematics. In this paper we introduce a new area of research in frame theory: Integer frames. These are frames having all integer coordinates with respect to a fixed orthonorma
Externí odkaz:
http://arxiv.org/abs/1307.4328
Publikováno v:
In Linear Algebra and Its Applications 15 May 2017 521:1-18
Publikováno v:
In Journal of Approximation Theory November 2016 211:42-60
Autor:
Sandor, Matyas, Galon, Jerome, Takacs, Laszlo, Tatsumi, Yoichi, Mueller, Allen L., Sautes, Catherine, Lynch, Richard G.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 1994 Dec . 91(26), 12857-12861.
Externí odkaz:
https://www.jstor.org/stable/2366442
Autor:
Schulenburg, Elizabeth P., Simms, Ernest S., Lynch, Richard G., Bradshaw, Ralph A., Eisen, Herman N.
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 1971 Nov 01. 68(11), 2623-2626.
Externí odkaz:
https://www.jstor.org/stable/61189