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

Research paper by A. Borichev, R. Chill, Yu. Tomilov

Indexed on: 20 Dec '05Published on: 20 Dec '05Published in: Mathematics - Complex Variables



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.