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Families of Conformally Covariant Differential Operators, Q-Curvature and Holography

- A. Juhl
- Mathematics
- 26 June 2009

Spaces, Actions, Representations and Curvature.- Conformally Covariant Powers of the Laplacian, Q-curvature and Scattering Theory.- Paneitz Operator and Paneitz Curvature.- Intertwining Families.-… Expand

Holographic formula for Q-curvature. II

- A. Juhl
- Mathematics, Physics
- 13 April 2007

We extend the holographic formula for the critical Q-curvature in Graham and Juhl (2007) [9] to all Q-curvatures. Moreover, we confirm a conjecture of Juhl (2009) [11].

Holographic formula for Q-curvature

- C. R. Graham, A. Juhl
- Mathematics
- 13 April 2007

In this paper we give a formula for Q-curvature in even-dimensional conformal geometry. The Q-curvature was introduced by Tom Branson in [B] and has been the subject of much research. There are now a… Expand

Explicit Formulas for GJMS-Operators and Q-Curvatures

- A. Juhl
- Mathematics, Physics
- 1 August 2011

We describe GJMS-operators as linear combinations of compositions of natural second-order differential operators. These are defined in terms of Poincaré–Einstein metrics and renormalized volume… Expand

Cohomological Theory of Dynamical Zeta Functions

- A. Juhl
- Mathematics
- 25 January 2001

1. Introduction.- 2. Preliminaries.- 3. Zeta Functions of the Geodesic Flow of Compact Locally Symmetric Manifolds.- 4. Operators and Complexes.- 5. The Verma Complexes on SY and SX.- 6. Harmonic… Expand

On conformally covariant powers of the Laplacian

- A. Juhl
- Mathematics, Physics
- 25 May 2009

We propose and discuss recursive formulas for conformally covariant powers $P_{2N}$ of the Laplacian (GJMS-operators). For locally conformally flat metrics, these describe the non-constant part of… Expand

The wave kernel for the Laplacian on the classical locally symmetric spaces of rank one, theta functions, trace formulas and the Selberg zeta function

- U. Bunke, M. Olbrich, A. Juhl
- Mathematics
- 1 February 1994

We calculate the wave kernels for the classical rank-one symmetric spaces. The result is employed in order to provide a meromorphic extension of the theta function of an even-dimensional compact… Expand

Conformal symmetry breaking differential
operators on differential forms

- M. Fischmann, A. Juhl, P. Somberg
- Mathematics
- 15 May 2016

We study conformal symmetry breaking differential operators which map differential forms on $\mathbb{R}^n$ to differential forms on a codimension one subspace $\mathbb{R}^{n-1}$. These operators are… Expand

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