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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 Dunkl-Darboux 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 Dunkl-Darboux operator. In the talk we explain a construction of this series and the main steps of the proof of its convergence.

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