Boundary uniqueness of harmonic functions and spectral subspaces of operator groups

Details Boundary uniqueness of harmonic functions and spectral subspaces of operator groups Boundary uniqueness of harmonic functions and spectral subspaces of operator groups

2010-03-14

arxiv.org/abs/1003.2805v1

Mathematics

Complex Variables

21 pages

Scientific paper

We obtain new uniqueness theorems for harmonic functions defined on the unit
disc or in the half plane. These results are applied to obtain new resolvent
descriptions of spectral subspaces of polynomially bounded groups of operators
on Banach spaces.

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