Opuc on One Foot
نویسندگان
چکیده
We present an expository introduction to orthogonal polynomials on the unit circle (OPUC).
منابع مشابه
Asymptotics of the L2 norm of derivatives of OPUC
We show that for many families of OPUC, one has ‖φ n‖2/n → 1, a condition we call normal behavior. We prove that this implies |αn | → 0 and that it holds if ∑ ∞ n=0 |αn | < ∞. We also prove it is true for many sparse sequences. On the other hand, it is often destroyed by the insertion of a mass point. c ⃝ 2010 Elsevier Inc. All rights reserved.
متن کاملCharacterization of the osmoprotectant transporter OpuC from Pseudomonas syringae and demonstration that cystathionine-beta-synthase domains are required for its osmoregulatory function.
The plant pathogen Pseudomonas syringae may cope with osmotic stress on plants, in part, by importing osmoprotective compounds. In this study, we found that P. syringae pv. tomato strain DC3000 was distinct from most bacterial species in deriving greater osmoprotection from exogenous choline than from glycine betaine. This superior osmoprotection was correlated with a higher capacity for uptake...
متن کاملAnalysis of the role of OpuC, an osmolyte transport system, in salt tolerance and virulence potential of Listeria monocytogenes.
The success of Listeria monocytogenes as a food-borne pathogen owes much to its ability to survive a variety of stresses, both in the external environment prior to ingestion and subsequently within the animal host. Growth at high salt concentrations and low temperatures is attributed mainly to the accumulation of organic solutes such as glycine betaine and carnitine. We utilized a novel system ...
متن کاملCharacterization of the Osmoprotectant Transporter OpuC from Pseudomonas syringae and Demonstration that Cystathionine- -Synthase Domains Are Required for Its Osmoregulatory Function †
The plant pathogen Pseudomonas syringae may cope with osmotic stress on plants, in part, by importing osmoprotective compounds. In this study, we found that P. syringae pv. tomato strain DC3000 was distinct from most bacterial species in deriving greater osmoprotection from exogenous choline than from glycine betaine. This superior osmoprotection was correlated with a higher capacity for uptake...
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Following the recent survey by the same author of Szegö’s theorem and orthogonal polynomials on the unit circle (OPUC) in the scalar case, we survey the corresponding multivariate prediction theory and matrix OPUC (MOPUC). AMS 2000 subject classifications: Primary 60G10; secondary 60G25.
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