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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Displaying similar documents to “Generalized Sobolev Spaces of Exponential Type Associated with the Dunkl Operators”
Besov-type spaces on R and integrability for the Dunkl transform.
On some shift invariant integral operators, univariate case
George A. Anastassiou, Heinz H. Gonska (1995)
Annales Polonici Mathematici
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In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving...
Sharp embeddings of Besov spaces with logarithmic smoothness.
Petr Gurka, Bohumir Opic (2005)
Revista Matemática Complutense
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We prove sharp embeddings of Besov spaces B with the classical smoothness σ and a logarithmic smoothness α into Lorentz-Zygmund spaces. Our results extend those with α = 0, which have been proved by D. E. Edmunds and H. Triebel. On page 88 of their paper (Math. Nachr. 207 (1999), 79-92) they have written: ?Nevertheless a direct proof, avoiding the machinery of function spaces, would be desirable.? In our paper we give such a proof even in a more general context. We cover...
On a symbol class of elliptic pseudodifferential operators
S. Pilipović, N. Teofanov (2002)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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The linear symmetric systems associated with the modified Cherednik operators and applications
Hatem Mejjaoli (2012)
Annales mathématiques Blaise Pascal
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We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.
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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Mathemagics (a tribute to L. Euler and R. Feynman).
Cartier, Pierre (2000)
Séminaire Lotharingien de Combinatoire [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.
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.
Commutants of the Dunkl Operators in C(R)
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.