On strongly asymptotically developable functions and the Borel-Ritt theorem
Volume 133 / 1999
Studia Mathematica 133 (1999), 231-248
DOI: 10.4064/sm-133-3-231-248
Abstract
We show that the holomorphic functions on polysectors whose derivatives remain bounded on proper subpolysectors are precisely those strongly asymptotically developable in the sense of Majima. This fact allows us to solve two Borel-Ritt type interpolation problems from a functional-analytic viewpoint.
