AbstractWe give a new proof of the characterization—due to Trombi and Varadarajan —of Fourier transforms of functions on a noncompact symmetric space, which are biinvariant and rapidly decreasing in the Lp sense
The adapted Fourier transform, so-called nilpotent Fourier transform, was first introduced by D. Arn...
In our previous articles [27] and [28] we studied Fourier series on a symmetric space $M=U/K$ of the...
AbstractLet ƒ be a rapidly decreasing continuous function on ℝn and let f be its Radon transform. If...
AbstractSpherical Fourier transforms of Lp (1 ⩽ p < 2) functions on a Riemannian symmetric space are...
RésuméLe théorème de Paley-Wiener classique caractérise les transformées de Fourier des fonctions do...
AbstractThis paper studies the asymptotic expansions of spherical functions on symmetric spaces and ...
AbstractSpherical Fourier transforms of Lp (1 ⩽ p < 2) functions on a Riemannian symmetric space are...
We generalise a result of Hardy, which asserts the impossibility of a function and its Fourier trans...
RésuméOn utilise la théorie des vecteurs C∞ et des vecteurs distributions pour définir la transformé...
AbstractThe authors consider irreducible representations π ϵ N̂ of a nilpotent Lie group and define ...
First published in the Bulletin of the American Mathematical Society in Vol.71, 1965, published by t...
The Fourier transform of a C¿¿ function, f, with compact support on a real reductive Lie group G is ...
Let G=H be a semisimple symmetric space, that is, G is a connected semisimple real Lie group with an...
AbstractIn this paper we develop a characterization of the Fourier transform as a continuous operato...
Let X be a symmetric space and G the connected component of the group of isometries of X. If ƒ ∈ L1(...
The adapted Fourier transform, so-called nilpotent Fourier transform, was first introduced by D. Arn...
In our previous articles [27] and [28] we studied Fourier series on a symmetric space $M=U/K$ of the...
AbstractLet ƒ be a rapidly decreasing continuous function on ℝn and let f be its Radon transform. If...
AbstractSpherical Fourier transforms of Lp (1 ⩽ p < 2) functions on a Riemannian symmetric space are...
RésuméLe théorème de Paley-Wiener classique caractérise les transformées de Fourier des fonctions do...
AbstractThis paper studies the asymptotic expansions of spherical functions on symmetric spaces and ...
AbstractSpherical Fourier transforms of Lp (1 ⩽ p < 2) functions on a Riemannian symmetric space are...
We generalise a result of Hardy, which asserts the impossibility of a function and its Fourier trans...
RésuméOn utilise la théorie des vecteurs C∞ et des vecteurs distributions pour définir la transformé...
AbstractThe authors consider irreducible representations π ϵ N̂ of a nilpotent Lie group and define ...
First published in the Bulletin of the American Mathematical Society in Vol.71, 1965, published by t...
The Fourier transform of a C¿¿ function, f, with compact support on a real reductive Lie group G is ...
Let G=H be a semisimple symmetric space, that is, G is a connected semisimple real Lie group with an...
AbstractIn this paper we develop a characterization of the Fourier transform as a continuous operato...
Let X be a symmetric space and G the connected component of the group of isometries of X. If ƒ ∈ L1(...
The adapted Fourier transform, so-called nilpotent Fourier transform, was first introduced by D. Arn...
In our previous articles [27] and [28] we studied Fourier series on a symmetric space $M=U/K$ of the...
AbstractLet ƒ be a rapidly decreasing continuous function on ℝn and let f be its Radon transform. If...
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