WebDunkl-Harmonic Oscillator in the NCPS differs from the ordinary one in the context of providing additional information on the even and odd parities. Therefore, we conclude that working with the Dunkl operator could be more appropriate because of its rich ... mutative, to preserve the unitarity of the theory, and deformed the usual Heisenberg ...
(PDF) Sonine formulas and intertwining operators in Dunkl theory
WebFeb 7, 2024 · Sonine formulas and intertwining operators in Dunkl theory Margit Rösler, Michael Voit Let denote Dunkl's intertwining operator associated with some root system and multiplicity function . WebApr 12, 2024 · Therefore, we conclude that working with the Dunkl operator could be more appropriate because of its rich content. In this paper, we examine the harmonic oscillator problem in non-commutative phase space (NCPS) by using the Dunkl derivative instead of the habitual one. ... The time-independent perturbation theory is based on the … how good is penfed credit union
Dunkl operator - Wikipedia
WebFeb 7, 2024 · In the theoryof rational Dunkl operators initiatedby C.F. Dunkl in [D1,D2], the intertwining operator plays a significant role. This operator intertwines Dunkl operators withthe usual... Web(with Charles F. Dunkl) "Orthogonal Polynomials of Several Variables", Second Edition, Encyclopedia of Mathematics and its Applications, vol. 155, Cambridge Univ. Press, 2014. ISBN: 9781107071896. (with Feng Dai) "Approximation Theory and Harmonics Analysis on Spheres and Balls", Springer Monographs in Mathematics, Springer, 2013. WebJun 25, 2024 · Dunkl theory is a far reaching generalization of Fourier analysis and special function theory related to root systems. During the sixties and seventies, it … highest opening partnership in ipl history