English

Uniqueness theorems for (sub-)harmonic functions with applications to operator theory

Complex Variables 2007-05-23 v1 Functional Analysis

Abstract

We obtain uniqueness theorems for harmonic and subharmonic functions of a new type. They lead to new analytic extension criteria and new conditions for stability of operator semigroups in Banach spaces with Fourier type.

Keywords

Cite

@article{arxiv.math/0512460,
  title  = {Uniqueness theorems for (sub-)harmonic functions with applications to operator theory},
  author = {A. Borichev and R. Chill and Yu. Tomilov},
  journal= {arXiv preprint arXiv:math/0512460},
  year   = {2007}
}