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Real and discrete holomorphy: Introduction to an algebraic approach

✍ Scribed by Sylvain Barré; Abdelghani Zeghib

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
399 KB
Volume
87
Category
Article
ISSN
0021-7824

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✦ Synopsis

We consider spaces for which there is a notion of harmonicity for complex valued functions defined on them. For instance, this is the case of Riemannian manifolds on one hand, and (metric) graphs on the other hand. We observe that it is then possible to define an "amusing" notion of holomorphic functions on them, and show how rigid it is in some cases.

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