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Displaying 21 – 40 of 58

Harmonic analysis and Radon transforms on pencils of geodesics.

E. Badertscher (1986)

Mathematica Scandinavica

Harmonic Analysis for Vector Fields on Hyperbolic Spaces.

H.M. Reimann, E. Badertscher (1989)

Mathematische Zeitschrift

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]

Local Hardy spaces on Chébli-Trimèche hypergroups

Walter Bloom, Zengfu Xu (1999)

Studia Mathematica

We investigate the local Hardy spaces $h^{p}$ on Chébli-Trimèche hypergroups, and establish the equivalence of various characterizations of these in terms of maximal functions and atomic decomposition.

Mesures de Lévy et fonctions de Lévy générales Applications à la décomposition de Lévy-Khintchine

El Hassan Youssfi (1986)

Publications du Département de mathématiques (Lyon)

Modèles de Whittaker dute;générés pour des groupes p-adiques.

C. Moeglin, J.L. Waldspurger (1987)

Mathematische Zeitschrift

New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform.

Wilczok, Elke (2000)

Documenta Mathematica

On a recurrence formula for elementary spherical functions on symmetric spaces and its applications to multipliers for the spherical Fourier transform.

Lars Vretare (1977)

Mathematica Scandinavica

On the Hausdorff-Young theorem for commutative hypergroups

Sina Degenfeld-Schonburg (2013)

Colloquium Mathematicae

We study the Hausdorff-Young transform for a commutative hypergroup K and its dual space K̂ by extending the domain of the Fourier transform so as to encompass all functions in $L^{p} (K, m)$ and $L^{p} (K ̂, π)$ respectively, where 1 ≤ p ≤ 2. Our main theorem is that those extended transforms are inverse to each other. In contrast to the group case, this is not obvious, since the dual space K̂ is in general not a hypergroup itself.

On the image of a generalized $d$ -plane transform on $ℝ^{n}$ .

Symeonidis, Elevtherios (1999)

Journal of Lie Theory

On the Multiresolution analysis of abstract Hilbert spaces

Theodoros Stavropoulos, Manos Papadakis (1998)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

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

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

Fractional Calculus and Applied Analysis

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.

On the range of the Fourier transform connected with Riemann-Liouville operator

Lakhdar Tannech Rachdi, Ahlem Rouz (2009)

Annales mathématiques Blaise Pascal

We characterize the range of some spaces of functions by the Fourier transform associated with the Riemann-Liouville operator $ℛ_{α}, α \geq 0$ and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schwartz theorems.

On the Segal-Shale-Weil Representations and Harmonic Polynomials.

M. Kashiwara, M. Vergne (1978)

Inventiones mathematicae

Optimal boundedness of central oscillating multipliers on compact Lie groups

Jiecheng Chen, Dashan Fan (2012)