带可扩张位移的双周期Haseman边值问题

Haseman's Boundary Value Problem with Extensible Shift and Double Periodicity

对于复平面上既是双周期分片解析的、又在边界曲面上带有位移函数的Haseman边值问题,本文给出了问题的可解性结论和解的封闭表示形式,并用核函数是弱奇性的Fredholm方程解的Cauchy型积分表示出来.

Haseman＇ s boundary value problems with both extensible shift and double periodicity on the boundary are investigated in the complex plane. Then the corresponding formal solution of these problems are also presented to be so-called Cauchy type integral, whose density function is an unique solution of a class of weakly Fredholm type equations.