Zur Konstruktion gewisser Integraloperatoren für partielle Differentialgleichungen Teil II |
| |
Authors: | Doz Dr Manfred Kracht Prof Dr Erwin Kreyszig |
| |
Institution: | 1. Mathematisches Institut Universit?t Düsseldorf, Universit?tsstra?e 1, D-4000, Düsseldorf 1, Bundesrepublik Deutschland 2. Department of Mathematics, University of Windsor, N9B 3P4, Windsor, Ontario, Canada
|
| |
Abstract: | Using results of Part I of this paper, we shall now develop two methods of constructing linear partial differential equations which admit Bergman operators with polynomial kernels; these equations will be obtained explicitly. Those methods will also yield general representations of solutions of such an equation which are holomorphic in some domain of complex two-space. For generating all those solutions, one needs a pair of Bergman operators. Whereas in Part I of this paper we required at least one of the two operators to have a polynomial kernel, we now impose the condition that both operators be of that kind. This entails further basic results about the existence, construction, and uniqueness of solutions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|