Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Richard G. Lynch"'
Autor:
Richard G. Lynch, Simon Foucart
Publikováno v:
Inverse Problems & Imaging. 13:703-720
This article studies the approximate recovery of low-rank matrices acquired through binary measurements. Two types of recovery algorithms are considered, one based on hard singular value thresholding and the other one based on semidefinite programmin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::feeb7b0013842bf71a9d7f2c820d4e73
https://doi.org/10.3934/ipi.2019032
https://doi.org/10.3934/ipi.2019032
The field of compressed sensing has become a major tool in high-dimensional analysis, with the realization that vectors can be recovered from relatively very few linear measurements as long as the vectors lie in a low-dimensional structure, typically
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b43964437ed30eacf69b31cc049bb6a
Autor:
Richard G. Lynch, Loukas Grafakos
Publikováno v:
Commentationes Mathematicae. 55
We extend a theorem by Grafakos and Tao on multilinear interpolation between adjoint operators [Multilinear interpolation between adjoint operators, J. Funct. Anal. 199 (2003), 379-385] to an off-diagonal situation. We provide an application.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3aadb661ec04ffeeb4f6c2a724ce549
https://doi.org/10.14708/cm.v55i1.747
https://doi.org/10.14708/cm.v55i1.747
Publikováno v:
SPIE Proceedings.
It was shown in Ref. 1 that the unconditional constant for frame expansions is √B/A, where A and B are the frame bounds of the frame. It was also shown that a Bessel sequence is 1-unconditional if and only if it can be partitioned into an orthogona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ba26337c5b80294a813f8ae21a3310f
https://doi.org/10.1117/12.2186900
https://doi.org/10.1117/12.2186900
Publikováno v:
2015 International Conference on Sampling Theory and Applications (SampTA).
We will prove some new, fundamental results in frame theory by computing the unconditional constant (for all definitions of unconditional) for the frame expansion of a vector in a Hilbert space and see that it is √B/A, where A, B are the frame boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec9bd665be0a7612fab4f840a2935269
https://doi.org/10.1109/sampta.2015.7148913
https://doi.org/10.1109/sampta.2015.7148913
Autor:
Richard G. Lynch, Peter G. Casazza
Publikováno v:
2015 International Conference on Sampling Theory and Applications (SampTA).
We will prove some new results in the theory of Weaving Frames. Two frames {φi}ieI and {Ψ i }ieI in a Hilbert space H are woven if there are constants 0 i } ieσ ∪ {ψ i } ieσc is a frame for H with frame bounds A, B. We begin by introducing the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be10b242ff4a45632f3411c6dfb79390
https://doi.org/10.1109/sampta.2015.7148861
https://doi.org/10.1109/sampta.2015.7148861
Publikováno v:
The Journal of Immunology. 170:3782-3789
Gastric infection with Helicobacter induces a lymphocyte-rich mucosal inflammation that contains a minor population of neutrophilic granulocytes. The function of neutrophils in the local immune response to gastric Helicobacter infection remains unkno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57d4691f284bf40c1f75c0324e468061
https://doi.org/10.4049/jimmunol.170.7.3782
https://doi.org/10.4049/jimmunol.170.7.3782
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7fb0d6056d13795f9fc1c6413f820aa
Autor:
Juan Zhang, Hanan F. Ismail, Hector Alila, Daniel J. Berg, Joel V. Weinstock, Richard G. Lynch, Rifat Pamukcu, Steven A. Moore, Keith A. Earle
Publikováno v:
Gastroenterology. 123:1527-1542
Background & Aims: Interleukin (IL)-10 is an anti-inflammatory and immune regulatory cytokine. IL-10–deficient mice (IL-10 −/− ) develop chronic inflammatory bowel disease (IBD), indicating that endogenous IL-10 is a central regulator of the mu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::308bcec26358324607d28232f65bb01b
https://doi.org/10.1053/gast.2002.1231527
https://doi.org/10.1053/gast.2002.1231527