Abstract
The interrelations between Calogero quantum problem and Knizhnik-Zamolodchikov equation are described following Matsuo, Cherednik, Felder, and the author. As the basic tool of the considerations the Dunkl operator is used. The generalizations related to an arbitrary Coxeter group and the applications to the Hadamard problem about the hyperbolic equations with the Huygens principle are discussed.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 98. No. 3, pp. 524–535, March, 1994
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Veselov, A.P. Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle. Theor Math Phys 98, 368–376 (1994). https://doi.org/10.1007/BF01102214
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DOI: https://doi.org/10.1007/BF01102214