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Uniqueness theorems for (sub‐)harmonic functions with applications to operator theory
Author(s) -
Borichev Alexander,
Chill Ralph,
Tomilov Yuri
Publication year - 2007
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdm025
Subject(s) - mathematics , uniqueness , operator (biology) , banach space , harmonic function , subharmonic , pure mathematics , extension (predicate logic) , subharmonic function , type (biology) , harmonic , fourier transform , mathematical analysis , nonlinear system , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene , ecology , biology , computer science , programming language
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.