sigma09-011. 202KB Jun 04 2011 12:10:23 AM
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Let us briefly describe the framework of the Dunkl theory of differential-difference operators on R d related to finite reflection groups.. The
The case of infinite Jacobi matrices was considered earlier in the papers [ 6 , 7 , 8 , 9 ] in which the generalized spectral function was introduced and the inverse problem from
The spherical Radon–Dunkl transform R κ , associated to weight functions in- variant under a finite reflection group, is introduced, and some elementary properties are obtained in
In the affine case, a classification is only known in the subcat- egory of modules with finite-dimensional weight spaces ([18] for nonzero charge and [6] for zero charge), and
In addition, these critical sections can be thought of as being the integral manifolds of certain kinds of integrable multivector fields or Ehresmann connections, defined in the
(3) With probability 1, the percolation graph has infinitely many infinite components, and for every finite n there is some infinite component with more than n ends.. The proof
a series of quantum integrable systems, including some new models like two-mode q -bosonic model leading to a coupled two-component derivative NLS model, wide range of q
We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV associativity equation to construct new integrable string equations
