Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The absolutely continuous spectrum of discrete canonical systems


Authors: Andreas Fischer and Christian Remling
Journal: Trans. Amer. Math. Soc. 361 (2009), 793-818
MSC (2000): Primary 39A70, 34B05, 34L05
Published electronically: September 29, 2008
MathSciNet review: 2452825
Full-text PDF

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 $ y$ which are bounded in a weak sense.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 39A70, 34B05, 34L05

Retrieve articles in all journals with MSC (2000): 39A70, 34B05, 34L05


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: http://dx.doi.org/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
Published electronically: September 29, 2008
Additional Notes: The second author’s work was supported by the Heisenberg program of the Deutsche Forschungsgemeinschaft
Article copyright: © Copyright 2008 American Mathematical Society