Inversion formulas for the spherical Radon-Dunkl transform.

Li, Zhongkai; Song, Futao

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Displaying similar documents to “Inversion formulas for the spherical Radon-Dunkl transform.”

Sonine transform associated to the Dunkl kernel on the real line.

Soltani, Fethi (2008)

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

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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)

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An Analogue of Beurling-Hörmander’s Theorem for the Dunkl-Bessel Transform

Mejjaoli, Hatem (2006)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: Primary 35R10, Secondary 44A15 We establish an analogue of Beurling-Hörmander’s theorem for the Dunkl-Bessel transform FD,B on R(d+1,+). We deduce an analogue of Gelfand-Shilov, Hardy, Cowling-Price and Morgan theorems on R(d+1,+) by using the heat kernel associated to the Dunkl-Bessel-Laplace operator.

Besov-type spaces on R $d$ and integrability for the Dunkl transform.

Abdelkefi, Chokri, Anker, Jean-Philippe, Sassi, Feriel, Sifi, Mohamed (2009)

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

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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.

On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces

Abdelkefi, Chokri, Sifi, Mohamed (2006)

Fractional Calculus and Applied Analysis

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2000 Mathematics Subject Classification: 44A15, 44A35, 46E30 In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space. * Supported by 04/UR/15-02.

Riesz transforms for Dunkl transform

Bechir Amri, Mohamed Sifi (2012)

Annales mathématiques Blaise Pascal

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In this paper we obtain the $L^{p}$ -boundedness of Riesz transforms for the Dunkl transform for all $1 < p < \infty$ .

A few results about the $p$ -Laplace's operator.

Covei, Dragoş-Pătru (2005)

Acta Universitatis Apulensis. Mathematics - Informatics

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

Lakhdar Tannech Rachdi, Ahlem Rouz (2009)

Annales mathématiques Blaise Pascal

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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.