Functional Analysis and Complex Analysis
Share this pageEdited by Aydın Aytuna; Reinhold Meise; Tosun Terzioğlu; Dietmar Vogt
In recent years, the interplay between the methods of functional
analysis and complex analysis has led to some remarkable results in a
wide variety of topics. It turned out that the structure of spaces of
holomorphic functions is fundamentally linked to certain invariants
initially defined on abstract Fréchet spaces as well as to the
developments in pluripotential theory.
The aim of this volume is to document some of the original
contributions to this topic presented at a conference held at Sabancı
University in İstanbul, in September 2007. This volume also contains
some surveys that give an overview of the state of the art and
initiate further research in the interplay between functional and
complex analysis.
Readership
Graduate students and research mathematicians interested in functional analysis, complex analysis, and linear partial differential equations.
Table of Contents
Functional Analysis and Complex Analysis
- Contents v7 free
- Preface vii9 free
- List of Participants ix11 free
- Vyacheslav Zakharyuta's Complex Analysis 113 free
- Remark on the Definition of the Complex Monge-Ampère Operator 1729
- Convolution Operators on Quasianalytic Classes of Roumieu Type 2335
- Riesz Energy and Sets of Revolution in R3 4759
- Bari-Markus Property for Riesz Projections of Hill Operators with Singular Potentials 5971
- Right Inverses for Differential Operators on Fourier Ultra-hyperfunctions and the Property (DN) 8193
- Connectedness in the Pluri-fine Topology 105117
- Quantum Shape of Compact Domains in Phase Plane 117129
- Analyticity and Propagation of Plurisubharmonic Singularities 137149
- Linear Topological Properties of Spaces Hω and of Spaces of Ultradifferentiable Functions 145157
- Invertibility for Fréchet Valued Real Analytic Functions 159171
- Kolmogorov Problem on Widths Asymptotics and Pluripotential Theory 171183