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

Almira, J.M.

Displaying similar documents to “A simple observation about compactness and fast decay of Fourier coefficients.”

Existence results for differential equations in Banach spaces

John W. Lee, Donal O'Regan (1993)

Commentationes Mathematicae Universitatis Carolinae

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This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.

Some results for one class of discontinuous operators with fixed points.

Morales, R., Rojas, E. (2007)

Acta Mathematica Universitatis Comenianae. New Series

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Comparisons of Sidon and $I_{0}$ sets

L. Ramsey (1996)

Colloquium Mathematicae

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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.