Formal adjoints and a canonical form for linear operators

Formal adjoints and a canonical form for linear operators
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by Michael G. Eastwood and A. Rod Gover PDF

Conform. Geom. Dyn. 10 (2006), 285-287 Request permission

We describe a canonical form for linear differential operators that are formally self-adjoint or formally skew-adjoint.

References

Thomas P. Branson, Sharp inequalities, the functional determinant, and the complementary series, Trans. Amer. Math. Soc. 347 (1995), no. 10, 3671–3742. MR 1316845, DOI 10.1090/S0002-9947-1995-1316845-2
Thomas Branson and A. Rod Gover, Conformally invariant operators, differential forms, cohomology and a generalisation of $Q$-curvature, Comm. Partial Differential Equations 30 (2005), no. 10-12, 1611–1669. MR 2182307, DOI 10.1080/03605300500299943
Michael G. Eastwood and John W. Rice, Conformally invariant differential operators on Minkowski space and their curved analogues, Comm. Math. Phys. 109 (1987), no. 2, 207–228. MR 880414, DOI 10.1007/BF01215221
C. Robin Graham, Ralph Jenne, Lionel J. Mason, and George A. J. Sparling, Conformally invariant powers of the Laplacian. I. Existence, J. London Math. Soc. (2) 46 (1992), no. 3, 557–565. MR 1190438, DOI 10.1112/jlms/s2-46.3.557
C. Robin Graham and Maciej Zworski, Scattering matrix in conformal geometry, Invent. Math. 152 (2003), no. 1, 89–118. MR 1965361, DOI 10.1007/s00222-002-0268-1