Spectral analysis of certain groups of isometries on Hardy and Bergman spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Bonyo, J. O.¹ 

[1] Maseno Univ, Dept Pure & Appl Math, POB 333, Maseno 40105, Kenya

关键词: One-parameter semigroup;    Similar semigroups;    Spectrum;    Resolvent;    Generator;   

DOI  :  10.1016/j.jmaa.2017.07.063

来源: Elsevier

【 摘 要 】

Using the similarity theory of semigroups as well as spectral theory, we obtain the resolvents of the generators of strongly continuous groups of isometries on the Hardy and Bergman spaces. These groups axe obtained as weighted composition operators associated with specific automorphisms of the upper half-plane. The resulting resolvents are given as integral operators for which we determine the norms and spectra. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free