Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A Panorama of Modern Operator Theory and Related TopicsPseudospectral Functions for Canonical Differential Systems. II

A Panorama of Modern Operator Theory and Related Topics: Pseudospectral Functions for Canonical... [A spectral theory is constructed for canonical differential systems whose Hamiltonians have selfadjoint matrix values. In contrast with the case of nonnegative Hamiltonians, eigenvalues in general can be complex, and root functions as well as eigenfunctions come into play. Eigentransforms are defined and turn out to be isometric on the span of root functions with respect to a suitably defined indefinite inner product on entire functions.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Panorama of Modern Operator Theory and Related TopicsPseudospectral Functions for Canonical Differential Systems. II

Part of the Operator Theory: Advances and Applications Book Series (volume 218)
Editors: Dym, Harry; Kaashoek, Marinus A.; Lancaster, Peter; Langer, Heinz; Lerer, Leonid
Rovnyak, J.; Sakhnovich, L. A.
A Panorama of Modern Operator Theory and Related Topics — Jan 3, 2012
Download PDF
30 pages

Loading next page...
 
/lp/springer-journals/a-panorama-of-modern-operator-theory-and-related-topics-pseudospectral-r30ZAXNOk1
Publisher
Springer Basel
Copyright
© Springer Basel AG 2012
ISBN
978-3-0348-0220-8
Pages
583 –612
DOI
10.1007/978-3-0348-0221-5_26
Publisher site
See Chapter on Publisher Site

Abstract

[A spectral theory is constructed for canonical differential systems whose Hamiltonians have selfadjoint matrix values. In contrast with the case of nonnegative Hamiltonians, eigenvalues in general can be complex, and root functions as well as eigenfunctions come into play. Eigentransforms are defined and turn out to be isometric on the span of root functions with respect to a suitably defined indefinite inner product on entire functions.]

Published: Jan 3, 2012

Keywords: Canonical differential equation; root function; pseudospectral function; spectral function; indefinite inner product; eigentransform.

There are no references for this article.