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Dimovski, Ivan, Hristov, Valentin, Sifi, Mohamed (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80 The Dunkl operators. * Supported by the Tunisian Research Foundation under 04/UR/15-02.
Abdelkefi, Chokri, Anker, Jean-Philippe, Sassi, Feriel, Sifi, Mohamed (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Komori, Yasushi, Noumi, Masatoshi, Shiraishi, Jun'ichi (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Nielsen, Lance (2010)
The New York Journal of Mathematics [electronic only]
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Soltani, Fethi (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Trimèche, Khalifa (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
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.
Kiguradze, I., Půža, B., Stavroulakis, I.P. (2001)
Georgian Mathematical Journal
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Dunkl, Charles F. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Dennis Nemzer (1993)
Colloquium Mathematicae
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Let A be the class of all real-analytic functions and β the class of all Boehmians. We show that there is no continuous operation on β which is ordinary multiplication when restricted to A.