Proceedings of the Indian Academy of Sciences - Mathematical Sciences

, Volume 115, Issue 2, pp 217–226

New criteria to identify spectrum

  • A. Jensen
  • M. Krishna

DOI: 10.1007/BF02829628

Cite this article as:
Jensen, A. & Krishna, M. Proc. Indian Acad. Sci. (Math. Sci.) (2005) 115: 217. doi:10.1007/BF02829628


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.


Lebesgue decompositionspectral theoryself-adjoint operatorswavelet transformsspectral type

Copyright information

© Indian Academy of Sciences 2005

Authors and Affiliations

  • A. Jensen
    • 1
  • M. Krishna
    • 1
    • 2
  1. 1.Department of Mathematical Sciences and MaPhyStoAalborg UniversityAalborg ØDenmark
  2. 2.Institute of Mathematical SciencesTaramani, ChennaiIndia