Dunkl Operators: Twenty Years After

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Dunkl Operators and Related Topics

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

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;
Hecke and Cherednik algebras and their representations;
quantum groups;
complex reflection groups and Clifford algebra;
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. Deadline for paper submission is October 15, 2008.

Publication will be done only on the results of the peer review according to refereeing policy of SIGMA.

If you have your paper ready earlier than the deadline, we encourage you to send it now. We will start the reviewing process and publish the paper as soon as the positive publication decision is made. The paper will be indexed in the relevant databases as soon as it is published without waiting for completion of the special issue.

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