Riesz bases consisting of root functions of 1D Dirac operators

Authors:
Plamen Djakov and Boris Mityagin

Journal:
Proc. Amer. Math. Soc. **141** (2013), 1361-1375

MSC (2010):
Primary 47E05, 34L40

Published electronically:
September 12, 2012

MathSciNet review:
3008883

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Abstract | References | Similar Articles | Additional Information

Abstract: For one-dimensional Dirac operators

In particular, if the potential matrix is skew-symmetric (i.e., ), or more generally if for some real then there exists a Riesz basis that consists of root functions of the operator

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Additional Information

**Plamen Djakov**

Affiliation:
Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli, 34956 Tuzla, Istanbul, Turkey

Email:
djakov@sabanciuniv.edu

**Boris Mityagin**

Affiliation:
Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio 43210

Email:
mityagin.1@osu.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-2012-11611-9

Received by editor(s):
August 20, 2011

Published electronically:
September 12, 2012

Additional Notes:
The first author acknowledges the hospitality of the Department of Mathematics and the support of the Mathematical Research Institute of The Ohio State University, July - August 2011.

The second author acknowledges the support of the Scientific and Technological Research Council of Turkey and the hospitality of Sabanci University, April - June 2011.

Communicated by:
James E. Colliander

Article copyright:
© Copyright 2012
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.