On the complexity of H sets of the unit circle

Etienne Matheron

Displaying similar documents to “On the complexity of H sets of the unit circle”

On convolution operators with small support which are far from being convolution by a bounded measure

Edmond Granirer (1994)

Colloquium Mathematicae

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Let $C V_{p} (F)$ be the left convolution operators on $L^{p} (G)$ with support included in F and $M_{p} (F)$ denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that $C V_{p} (F)$ , $C V_{p} (F) / M_{p} (F)$ and $C V_{p} (F) / W$ are as big as they can be, namely have $l^{\infty}$ as a quotient, where the ergodic space W contains, and at times is very big relative to $M_{p} (F)$ . Other subspaces of $C V_{p} (F)$ are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.

Comparisons of Sidon and $I_{0}$ sets

L. Ramsey (1996)

Colloquium Mathematicae

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A simple observation about compactness and fast decay of Fourier coefficients.

Almira, J.M. (2010)

Annals of Functional Analysis (AFA) [electronic only]

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The existence of bounded solutions for differential equations in Hilbert spaces

B. Przeradzki (1992)

Annales Polonici Mathematici

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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.

Bertrand’s Ballot Theorem

Karol Pąk (2014)

Formalized Mathematics

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In this article we formalize the Bertrand’s Ballot Theorem based on [17]. Suppose that in an election we have two candidates: A that receives n votes and B that receives k votes, and additionally n ≥ k. Then this theorem states that the probability of the situation where A maintains more votes than B throughout the counting of the ballots is equal to (n − k)/(n + k). This theorem is item #30 from the “Formalizing 100 Theorems” list maintained by Freek Wiedijk at http://www.cs.ru.nl/F.Wiedijk/100/. ...

A remark on R. G. Woods' paper "The minimum uniform compactification of a metric space" (Fund. Math. 147 (1995), 39–59)

M. Charalambous (1996)

Fundamenta Mathematicae

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A question raised in R. G. Woods' paper has a simple solution.

On convergence of greedy approximations for the trigonometric system.

Konyagin, Sergei V. (2007)

Banach Journal of Mathematical Analysis [electronic only]

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On some properties of multiple moduli of continuity.

Panjikidze, L. (1998)

Georgian Mathematical Journal

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On a characterization of the unit interval in terms of clones

Artur Barkhudaryan (1999)

Commentationes Mathematicae Universitatis Carolinae

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This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.