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Symplectic structures of two kinds of nonsymmetric differential operators

Symplectic structures of two kinds of nonsymmetric differential operators Non-self-adjoint quasi-differential expression M and its formal adjoint M + may generate nonsymmetric ordinary differential operators. Although minimal operators T 0, T 0 + generated by M, M + are not symmetric, they form an adjoint pair. In this paper, author studies regularly solvable operators with respect to the adjoint pair T 0, T 0 + in two kinds of conditions and give their geometry description in the corresponding ways. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Symplectic structures of two kinds of nonsymmetric differential operators

Acta Mathematicae Applicatae Sinica , Volume 31 (2) – Jun 19, 2015

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References (8)

Publisher
Springer Journals
Copyright
Copyright © 2015 by The Editorial Office of AMAS & Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-015-0300-z
Publisher site
See Article on Publisher Site

Abstract

Non-self-adjoint quasi-differential expression M and its formal adjoint M + may generate nonsymmetric ordinary differential operators. Although minimal operators T 0, T 0 + generated by M, M + are not symmetric, they form an adjoint pair. In this paper, author studies regularly solvable operators with respect to the adjoint pair T 0, T 0 + in two kinds of conditions and give their geometry description in the corresponding ways.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jun 19, 2015

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