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 “A limit relation for Dunkl-Bessel functions of type A and B.”
Sonine transform associated to the Dunkl kernel on the real line.
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.
Some orthogonal polynomials in four variables.
Dunkl, Charles F. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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 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.
Imaginary powers of the Dunkl harmonic oscillator.
Nowak, Adam, Stempak, Krzysztof (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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First hitting time of the boundary of the Weyl chamber by radial Dunkl processes.
Demni, Nizar (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Kernel functions for difference operators of Ruijsenaars type and their applications.
Komori, Yasushi, Noumi, Masatoshi, Shiraishi, Jun'ichi (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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On the Generalized Confluent Hypergeometric Function and Its Application
Virchenko, Nina (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 26A33, 33C20 This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.
On certain formulas of Karlin and Szegö.
Leclerc, Bernard (1998)
Séminaire Lotharingien de Combinatoire [electronic only]
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A first order -difference system for the -type Jackson integral and its applications.
Ito, Masahiko (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator
Guliyev, Vagif, Hasanov, Javanshir (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 42B20, 42B25, 42B35 We consider the generalized shift operator, generated by the Laplace- Bessel differential operator [...] The Bn -maximal functions and the Bn - Riesz potentials, generated by the Laplace-Bessel differential operator ∆Bn are investigated. We study the Bn - Riesz potentials in the Bn - Morrey spaces and Bn - BMO spaces. An inequality of Sobolev - Morrey type is established for the Bn - Riesz potentials. ...