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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Displaying similar documents to “Inversion formulas for the spherical Radon-Dunkl transform.”
Sonine transform associated to the Dunkl kernel on the real line.
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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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 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 -boundedness of Riesz transforms for the Dunkl transform for all .
A few results about the -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 and we give a new description of the Schwartz spaces. Next, we prove a Paley-Wiener and a Paley-Wiener-Schwartz theorems.