Skip Navigation

Proceedings of the London Mathematical Society 1990 s3-60(2):344-364; doi:10.1112/plms/s3-60.2.344
© 1990 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Littlejohn, L. L.
Right arrow Articles by Race, D.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© Oxford University Press

Symmetric and Symmetrisable Differential Expressions

Lance L. Littlejohn and David Race

Department of Mathematics, Utah State University Logan, Utah 84322-3900, U.S.A.
Department of Mathematics, The University of Surrey Guildford, Surrey GU2 5XH

Received 30 September 1988.

In 1960, H. L. Krall showed that every formally symmetric differential expression with sufficiently smooth real-valued coefficients can be written in the form:


Formula

where the B2i are the Bernoulli numbers. Based on this formula, Littlejohn found necessary and sufficient conditions on when an even-order real differential expression L[·] possesses a symmetry factor, i.e. a function f(x) such that fL[·] is formally symmetric. In this paper, the authors generalize the work of both Krall and Littlejohn to differential expressions of arbitrary order with complexvalued coefficients.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.