向量值函数边值问题的典则算子(英文)

Canonial Operators of Boundary Value Problems for Vector-valued Analytic Functions

本文给出复巴拿赫空间的黎曼型边值问题并运用算子的谱表示来研究 .首先我们给出跳跃问题的解 ,然后就连接算子的谱是离散的情形下给出一般边值问题的典则算子 .

In this paper, the problem of vector-valued analytic function boundary value will be discussed. By the spectral theory of operator, it will be given the canonical operator of connecting operator. And it also will be proved that the normal Riemann boundary value problem has only finite different partial index.