New Criteria to Identify Spectrum

Proceedings Mathematical Sciences

M Krishna¹  A Jensen² 

[1] Institute of Mathematical Sciences, Taramani, Chennai 00 , India$$;Department of Mathematical Sciences and MaPhySto, Aalborg University, Fr. Bajers Vej G, DK-0 Aalborg Ø, Denmark$$

关键词: Lebesgue decomposition;    spectral theory;    self-adjoint operators;    wavelet transforms;    spectral type.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we give some new criteria for identifying the components of a probability measure, in its Lebesgue decomposition. This enables us to give new criteria to identify spectral types of self-adjoint operators on Hilbert spaces, especially those of interest.

【 授权许可】

Unknown