JournalsrmiVol. 28, No. 1pp. 93–112

Boundary uniqueness of harmonic functions and spectral subspaces of operator groups

  • Alexander Borichev

    Aix Marseille Université, Marseille, France
  • Yuri Tomilov

    Nicolaus Copernicus University, Toruń, Poland
Boundary uniqueness of harmonic functions and spectral subspaces of operator groups cover

Abstract

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. 93–112

DOI 10.4171/RMI/668