The Donoho-Stark uncertainty principle for a finite abelian group.

Matusiak, E.; Özaydin, M.; Przebinda, T.

Displaying similar documents to “The Donoho-Stark uncertainty principle for a finite abelian group.”

A Helson set of uniqueness but not of synthesis

T. Körner (1991)

Colloquium Mathematicae

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In [3] I showed that there are Helson sets on the circle 𝕋 which are not of synthesis, by constructing a Helson set which was not of uniqueness and so automatically not of synthesis. In [2] Kaufman gave a substantially simpler construction of such a set; his construction is now standard. It is natural to ask whether there exist Helson sets which are of uniqueness but not of synthesis; this has circulated as an open question. The answer is "yes" and was also given in [3, pp. 87-92] but...

Gâteaux differentiability for functionals of type Orlicz-Lorentz.

Levis, F.E., Cuenya, H.H. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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On the complexity of H sets of the unit circle

Etienne Matheron (1996)

Colloquium Mathematicae

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On groups satisfying $| G^{'} {| > [G : Z (G)]}^{1 / 2}$ .

Kaplan, Gil, Lev, Arieh (2006)

Beiträge zur Algebra und Geometrie

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Uniqueness, strong forms of uniqueness and negative powers of contractions

Jean Esterle (1994)

Banach Center Publications

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Spectrum of Functions for the Dunkl Transform on R^d

Mejjaoli, Hatem, Trimèche, Khalifa (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 42B10 In this paper, we establish real Paley-Wiener theorems for the Dunkl transform on R^d. More precisely, we characterize the functions in the Schwartz space S(R^d) and in L^2k(R^d) whose Dunkl transform has bounded, unbounded, convex and nonconvex support.

Inversion formulas for the Dunkl intertwining operator and its dual on spaces of functions and distributions.

Trimèche, Khalifa (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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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.

On the Range of the Fourier Transform Associated with the Spherical Mean Operator

Jelassi, M., Rachdi, L. (2004)

Fractional Calculus and Applied Analysis

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We characterize the range of some spaces of functions by the Fourier transform associated with the spherical mean operator R and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schawrtz theorems.

Between the Paley-Wiener theorem and the Bochner tube theorem

Zofia Szmydt, Bogdan Ziemian (1995)

Annales Polonici Mathematici

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We present the classical Paley-Wiener-Schwartz theorem [1] on the Laplace transform of a compactly supported distribution in a new framework which arises naturally in the study of the Mellin transformation. In particular, sufficient conditions for a function to be the Mellin (Laplace) transform of a compactly supported distribution are given in the form resembling the Bochner tube theorem [2].

An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators

Kamoun, Lotfi (2005)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 42B10, 43A32. In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a positive integer. We consider, for a nonnegative real number α, two partial differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞.