Complex Analysis on Planar Cell Complexes
Files
TR Number
Date
2008-04-29
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Virginia Tech
Abstract
This paper is an examination of the theory of discrete complex analysis that arises from the framework of a planar cell complex. Construction of this theory is largely integration-based. A combination of two cell complexes, the double and its associated diamond complex, allows for the development of a discrete Cauchy Integral Formula.
Description
Keywords
Cell Decomposition, Cauchy-Riemann Equation, Discrete Differential Forms, Hodge Decomposition, Cauchy Integral Formula