sigma08-091. 268KB Jun 04 2011 12:10:21 AM
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We study in Section 3 the generalized Cauchy problem of the Dunkl linear symmetric systems, and we prove the principle of finite speed of propagation of these systems.. In the
Key words: cumulative Bernoulli trials; multivariate Markov chains; 9 − j symbols; transition kernel; Askey–Wilson polynomials; eigenvalue problem; trinomial distribution;
We investigate the symmetry algebras of integrable spin Calogero systems con- structed from Dunkl operators associated to finite Coxeter groups.. Based on two explicit examples, we
[18] Trim`eche K., The Dunkl intertwining operator on spaces of functions and distributions and integral repre- sentation of its dual,
able to prove that the Clifford–Hermite polynomials in the Dunkl framework coincide with the Hermite polynomials introduced by R¨ osler in [ 20 ] if a suitable basis of the space
Considering right invariant L 2 or H 1 metrics on these infinite dimensional Lie groups, the following geodesic equations can be obtained: the Euler equation of motion of a
In a short paper Pinney [ 21 ] was able to prove the fundamental result that the general solution of the Milne–Pinney equation can be described in terms of an arbitrary pair
As this is similar in form to the corresponding equation for the VE, in Section 3 we use known results for the VE to generate implicit periodic and solitary- wave solutions to
