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The Guest Editors for this special issue are
Charles Dunkl (University of Virginia, USA)
Peter Forrester (University of Melbourne, Australia)
Marcel de Jeu (Leiden University, the Netherlands)
Margit Rösler (Technische Universität Clausthal, Germany)
Yuan Xu (University of Oregon, USA)
The original Dunkl operators and the associated Laplacian were defined by
Charles F. Dunkl in papers published in 1989 and 1988 respectively, The
Dunkl operators and their various modifications have stimulated considerable
developments in a number of fields. There have been applications in
classical analysis, mathematical physics, special functions, Lie theory,
quantum groups, algebra, probability theory, and geometry.
This issue is devoted to the 20th anniversary of Dunkl operators.
Possible topics for papers include
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orthogonal polynomials and approximation theory in several variables;
-
special functions associated with root systems;
-
integral transforms and Fourier analysis;
-
exactly solvable quantum-mechanical models of Calogero-Moser-Sutherland
type;
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Hecke and Cherednik algebras and their representations;
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quantum groups;
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complex reflection groups and Clifford algebra;
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random processes.
Papers in these or related topics, and which involve Dunkl operators or
their generalizations, are solicited for this special issue.
How to Submit an Article to the Issue.
The length of an article is not limited.
Publication will be done only on the results of the peer review according to
refereeing policy of SIGMA.
Papers in this Issue:
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Some Orthogonal Polynomials in Four Variables
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Charles F. Dunkl
SIGMA 4 (2008), 082, 9 pages [ abs
pdf ps ]
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Liouville Theorem for Dunkl Polyharmonic Functions
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Guangbin Ren and Liang Liu
SIGMA 4 (2008), 076, 6 pages [ abs
pdf ps ]
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Generalized Bessel function of Type D
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Nizar Demni
SIGMA 4 (2008), 075, 7 pages [ abs
pdf ps ]
-
First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes
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Nizar Demni
SIGMA 4 (2008), 074, 14 pages [ abs
pdf ps ]
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Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
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Khalifa Trimèche
SIGMA 4 (2008), 067, 22 pages [ abs
pdf ps ]
Forthcoming papers:
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A Limit Relation for Dunkl-Bessel Functions of Type A and B
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Margit Rösler and Michael Voit
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Dunkl Hyperbolic Equations
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Hatem Mejjaoli
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External Ellipsoidal Harmonics for the Dunkl-Laplacian
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Hans Volkmer
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Sonine Transform Associated to the Dunkl Kernel on the Real Line
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Fethi Soltani
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