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.
Cite this article
Alexander Borichev, Yuri Tomilov, Boundary uniqueness of harmonic functions and spectral subspaces of operator groups. Rev. Mat. Iberoam. 28 (2012), no. 1, pp. 93–112DOI 10.4171/RMI/668