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Normal modes for Green's functions and the method of theta functions
Published online by Cambridge University Press: 24 October 2008
Abstract
The eigenfunctions for four types of bounded plane domains are constructed by a group-theoretic method. The group theory is then used to prove a completeness theorem and to derive a theta function transformation formula. Rapidly convergent series for the Green's functions of the Laplace operator on these domains are then constructed. Final formulas are summarized without reference to group theory.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 89 , Issue 2 , March 1981 , pp. 331 - 341
- Copyright
- Copyright © Cambridge Philosophical Society 1981
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