A continuously differntiable solution of hyercomplex elliptic equationDW+AW+BW=0, z=x+iy （1）is called generalized hyperanalytic function, here D is Douglis differentiat operator. Suppose L consists ofcountable soomt...A continuously differntiable solution of hyercomplex elliptic equationDW+AW+BW=0, z=x+iy （1）is called generalized hyperanalytic function, here D is Douglis differentiat operator. Suppose L consists ofcountable soomth Jordan closed curves L<sub>k</sub> k=1, 2, …, the finite domain surrounded by L<sub>k</sub> is denotedG<sub>k</sub><sup>+</sup>, All G<sub>k</sub><sup>+</sup> don’t intersect one another, the positive directions of L<sub>k</sub> are determined as usual, and {L<sub>k</sub>}converges at a finite z<sub>0</sub>. Set L= L∪（Z<sub>0</sub>） , G<sup>+</sup> = G<sub>k</sub><sup>+</sup>, G<sup>-</sup>=C\G<sup>+</sup>.This paper deals with the Riemann problem ; find a piecewise generalized hyperanalytic function w（z）in the whole plane C, satisfying the bounbary condition on展开更多
文摘A continuously differntiable solution of hyercomplex elliptic equationDW+AW+BW=0, z=x+iy （1）is called generalized hyperanalytic function, here D is Douglis differentiat operator. Suppose L consists ofcountable soomth Jordan closed curves L<sub>k</sub> k=1, 2, …, the finite domain surrounded by L<sub>k</sub> is denotedG<sub>k</sub><sup>+</sup>, All G<sub>k</sub><sup>+</sup> don’t intersect one another, the positive directions of L<sub>k</sub> are determined as usual, and {L<sub>k</sub>}converges at a finite z<sub>0</sub>. Set L= L∪（Z<sub>0</sub>） , G<sup>+</sup> = G<sub>k</sub><sup>+</sup>, G<sup>-</sup>=C\G<sup>+</sup>.This paper deals with the Riemann problem ; find a piecewise generalized hyperanalytic function w（z）in the whole plane C, satisfying the bounbary condition on
