The absolutely continuous spectrum of discrete canonical systems-Reference-Cited by-同舟云学术

The absolutely continuous spectrum of discrete canonical systems

Published:2008-09-29 Issue:2 Volume:361 Page:793-818
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Fischer Andreas,Remling Christian

Abstract

We prove that if the canonical system J ( y n + 1 − y n ) = z H n y n 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 y which are bounded in a weak sense.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2009-361-02/S0002-9947-08-04711-9/S0002-9947-08-04711-9.pdf

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