The Fifteenth Week: Function Theory on Covering Spaces

Michio Kuga

A chapter in Galois’ Dream: Group Theory and Differential Equations, 1993, pp 93-101 from Springer

Abstract: Abstract This week we begin function theory on D and D’. As usual, C denotes the complex plane. For simplicity, we will assume that D is a region (i.e., open, connected subset) in C, and D’ is a covering surface of D. This restriction is necessary to rapidly develop function theory on these surfaces.

Keywords: Holomorphic Function; Meromorphic Function; Function Theory; Laurent Series; Covering Space (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1007/978-1-4612-0329-2_16

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