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

被引:4
|
作者
Borichev, Alexander
Chill, Ralph
Tomilov, Yuri
机构
[1] Univ Aix Marseille 1, Ctr Math & Informat, F-13453 Marseille, France
[2] Univ Paul Verlaine Metz, F-57045 Metz 1, France
[3] CNRS, UMR 7122, Lab Math & Appl Metz, F-57045 Metz 1, France
[4] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
关键词
D O I
10.1112/plms/pdm025
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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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页码:687 / 708
页数:22
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