1 citations · 2 across the 13 of their papers we have counts for
Showing 2006 · math.CVShow all
3 papers · 2 filters
math.CV2006
Meromorphic Extendibility and the Argument Principle
Josip Globevnik
Let U be the open unit disc in C. Given a continuous function g: bU --> C-{0} denote by W(g) the winding number of g around the origin. We prove that a continuous function f: bU --…
math.CV2006
Degree and holomorphic extensions
Josip Globevnik
Let D be a bounded convex domain in C^N, N\geq 2. We prove that a continous map F from bD to C^N extends holomorphically through D if and only if for every polynomial map P from C^…
math.CV2006
Holomorphic Extendibility and Mapping Degree
Josip Globevnik
Let D be a bounded, finitely connected domain in the complex plane without isolated points in the boundary and let f be a continuous function on the boundary bD. Let F be a continu…