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

A. Borichev, R. Chill, Yu. Tomilov

math.CVarXiv:math/0512460

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.

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