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Sharp inequalities, the functional determinant, and the complementary series

- T. Branson
- Mathematics
- 1 October 1995

Results in the spectral theory of differential operators, and recent results on conformally covariant differential operators and on sharp inequalities, are combined in a study of functional… Expand

Differential operators cononically associated to a conformal structure.

- T. Branson
- Mathematics
- 1 December 1985

Soit (M,g) une variete pseudoriemannienne de dimension n. On donne des formules explicites pour un operateur d'ordre 4. D 4 ,k sur les k-formes dans M, n¬=1, 2, 4 pour un operateur D6 d'ordre 6 sur… Expand

Group representations arising from Lorentz conformal geometry

- T. Branson
- Mathematics
- 1 October 1987

Abstract It is shown that there exist conformally covariant differential operators D 2 l , k of all even orders 2 l , on differential forms of all orders k , in the double cover n of the n… Expand

Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

- T. Branson, L. Fontana, C. Morpurgo
- Mathematics, Materials Science
- 23 December 2007

We derive sharp Moser-Trudinger inequalities on the CR sphere. The rst type is in the Adams form, for powers of the sublaplacian and for general spectrally dened operators on the space of… Expand

Explicit functional determinants in four dimensions

- T. Branson, B. Ørsted
- Mathematics
- 1 March 1991

4 2 2 ABSTRACT. Working on the four-sphere S , a flat four-torus, S x S2, or a compact hyperbolic space, with a metric which is an arbitrary positive function times the standard one, we give explicit… Expand

Stein–Weiss Operators and Ellipticity

- T. Branson
- Mathematics
- 15 December 1997

Abstract Stein and Weiss (1968, Am. J. Math. 90 , 163–196) introduced the notion of generalized gradients : equivariant first order differential operators G between irreducible vector bundles with… Expand

The asymptotics of the Laplacian on a manifold with boundary

- T. Branson, P. Gilkey, Dmitri V.Vassilevich
- Mathematics, Physics
- 6 April 1995

Let P be a second-order differential operator with leading symbol given by the tensor on a compact Riemannian manifold with boundary. We compute the asymptotics of the heat equation for Dirichlet,… Expand

Conformally invariant non-local operators

- T. Branson, A. Gover
- Mathematics
- 1 November 2001

On a conformal manifold with boundary, we construct conformally invariant local boundary conditions B for the conformally invariant power of the Laplacian k , with the property that ( k , B) is… Expand

Residues of the eta function for an operator of Dirac type

- T. Branson, P. Gilkey
- Mathematics
- 15 August 1992

Abstract We compute the asymptotics of Tr L 2 ( Pe −tp 2 ) where P is a first order operator of Dirac type; this is equivalent to evaluating the residues of the eta function.

The Functional determinant

- T. Branson
- Mathematics
- 1993

Results in the spectral theory of diierential operators, and recent results on conformally covariant diierential operators and on sharp inequalities, are combined in a study of functional… Expand

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