Application of Szego kernels to approximate functions by series
For a full multicircular domain <i>D, </i>we construct a system of functions <i>h</i><sub><i>m</i></sub><i>(z), </i>permitting to expand functions analytic in <i>D, </i>into a series over this system. For that, we use the Szego kernel of the domain consisting of the points <i>z</i><sup><i>2</i></sup><i> </i>with <i>z </i>e <i>D.</i>