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Formal adjoints and a canonical form for linear operators
Author(s):
Michael
G.
Eastwood;
A.
Rod
Gover
Journal:
Conform. Geom. Dyn.
10
(2006),
285-287.
MSC (2000):
Primary 58J70;
Secondary 53A30
Posted:
October 5, 2006
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Abstract:
We describe a canonical form for linear differential operators that are formally self-adjoint or formally skew-adjoint.
References:
-
- 1.
- T.P. Branson, Sharp inequalities, the functional determinant, and the complementary series, Trans. A.M.S. 347 (1995), 3671-3742. MR 1316845 (96e:58162)
- 2.
- T. Branson and A.R. Gover, Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature, Comm. Partial Differential Equations 30 (2005), 1611-1669. MR 2182307
- 3.
- M.G. Eastwood and J.W. Rice, Conformally invariant differential operators on Minkowski space and their curved analogues, Commun. Math. Phys. 109 (1987), 207-228. MR 0880414 (89d:22012)
- 4.
- C.R. Graham, R. Jenne, L.J. Mason, and G.A.J. Sparling, Conformally invariant powers of the Laplacian, I: Existence, Jour. Lond. Math. Soc. 46 (1992), 557-565. MR 1190438 (94c:58226)
- 5.
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Additional Information:
Michael
G.
Eastwood
Affiliation:
Department of Pure Mathematics, University of Adelaide, South Australia 5005
Email:
meastwoo@maths.adelaide.edu.au
A.
Rod
Gover
Affiliation:
Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland 1, New Zealand
Email:
gover@math.auckland.ac.nz
DOI:
10.1090/S1088-4173-06-00154-8
PII:
S 1088-4173(06)00154-8
Keywords:
Adjoints,
differential operators,
conformal invariance
Received by editor(s):
July 18, 2006
Posted:
October 5, 2006
Additional Notes:
The first author is supported by the Australian Research Council.
The second author expresses appreciation for support by the New Zealand Institute for Mathematics and its Applications and the Royal Society of New Zealand (Marsden Grant 02-UOA-108).
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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