

Seminar on analytic theory of differential equations
January 27, 2016 14:30, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)






On the convergence of series that define eigenfunctions of Dunkl–Darboux operators
V. V. Meshcheryakov^{} 
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Abstract:
Earlier we gave a talk about formal solutions of an equation for eigenfunctions of the DunklDarboux operator. These solutions are represented by functional series of special type. In some general settings, we construct a convergent series that determines an eigenfunction of the DunklDarboux operator. In the talk we explain a construction of this series and the main steps of the proof of its convergence.

