Abstract
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.
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References
Holschneider Matthias, Wavelets, Oxford Mathematical Monographs (New York: The Clarendon Press, Oxford University Press) (1995), An analysis tool (Oxford Science Publications) MR 97b:42051
Last Yoram, Quantum dynamics and decompositions of singular continuous spectra,J. Funct. Anal. 142(2) (1996) 406–445, MR 97k:81044
Simon Barry,L p norms of the Borel transform and the decomposition of measures,Proc. Am. Math. Soc. 123(2) (1995) 3749–3755, MR 96b:44005
Strichartz Robert S, Wavelet expansions of fractal measures,J. Geom. Anal. 1(3) (1991) 269–289, MR 93c:42036
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Jensen, A., Krishna, M. New criteria to identify spectrum. Proc. Indian Acad. Sci. (Math. Sci.) 115, 217–226 (2005). https://doi.org/10.1007/BF02829628
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DOI: https://doi.org/10.1007/BF02829628