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ISSN 1088-6850(e) ISSN 0002-9947(p)

The absolutely continuous spectrum of discrete canonical systems

Author(s): Andreas Fischer; Christian Remling
Journal: Trans. Amer. Math. Soc. 361 (2009), 793-818.
MSC (2000): Primary 39A70, 34B05, 34L05
Posted: September 29, 2008
MathSciNet review: 2452825
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Abstract | References | Similar articles | Additional information

Abstract: We prove that if the canonical system $J(y_{n+1}-y_n)= zH_ny_n$ has absolutely continuous spectrum of a certain multiplicity, then there is a corresponding number of linearly independent solutions which are bounded in a weak sense.

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Additional Information:

Andreas Fischer
Affiliation: Fachbereich Mathematik, Universität Osnabrück, 49069 Osnabrück, Germany

Christian Remling
Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
Email: cremling@math.ou.edu

DOI: 10.1090/S0002-9947-08-04711-9
PII: S 0002-9947(08)04711-9
Keywords: Canonical systems, absolutely continuous spectrum
Received by editor(s): March 7, 2007
Posted: September 29, 2008
Additional Notes: The second author's work was supported by the Heisenberg program of the Deutsche Forschungsgemeinschaft
Copyright of article: Copyright 2008, American Mathematical Society

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