You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Ayd\u0131n Aytuna<\/p>\n
\u201cPluricomplex Green Functions on Stein Manifolds: A Functional Analysis Point of View\u201d<\/p>\n
Abstract: In this talk we will look at the existence of (non-trivial) pluricom-plex Green functions for Stein manifolds from a functional analysis point of view. For a Stein manifold M, let us denote by O(M); the Fr\u00e9chet space of analytic functions on M equipped with the topology
\nof uniform convergence on compact subsets of M. After giving some preliminary information and relevant denitions, we will look at the relationship between existence of pluricomplex Green functions for M and the diametral dimension of O(M): We will then give a character-
\nization of pluri-Greenian Stein manifolds through a local, controlled approximation type condition, which can be thought as a local version of the linear topological invariant \u038f of D.Vogt. Some consequences of these results will be considered,of course, if time permits.<\/p>\n
Date: April 14, 2021
\nTime: 13:30, GMT+3<\/p>\n
This is an online seminar. To request the event link, please send a message to goncha@fen.bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics. Speaker: Ayd\u0131n Aytuna \u201cPluricomplex Green Functions on Stein Manifolds: A Functional Analysis Point of View\u201d Abstract: In this talk we will look at the existence of (non-trivial) pluricom-plex Green functions for Stein manifolds from a functional [\u2026] <\/p>\n