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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

Review: Yvonne Choquet-Bruhat, Cecile de Witt-Morette and Margaret Dillard-Bleick, Analysis, manifolds and physics

- B. Ørsted
- Physics
- 1 September 1980

Segal-Bargmann transforms associated with finite Coxeter groups

- Salem Ben Said, B. Ørsted
- Mathematics
- 1 February 2006

Using a polarization of a suitable restriction map, and heat-kernel analysis, we construct a generalized Segal-Bargmann transform associated with every finite Coxeter group G on ℝN. We find the… Expand

The Howe Duality for the Dunkl Version of the Dirac Operator

- B. Ørsted, P. Somberg, V. Souček
- Mathematics
- 19 March 2009

Abstract.The classical Fischer decomposition of polynomials on Euclidean space makes it possible to express any polynomial as a sum of harmonic polynomials multiplied by powers of |x|2. A deformation… Expand

Conformal indices of riemannian manifolds

- T. Branson, B. Ørsted
- Mathematics
- 1986

Soit P un operateur differentiel formellement auto-adjoint, conformement covariant sur des champs tensoriels, defini pour des varietes de Riemann (M, g), et on suppose que le symbole principal de P… Expand

THE GROMOV NORM OF THE KAEHLER CLASS AND THE MASLOV INDEX

Let D be a Hermitian symmetric space of the non-compact type, ! its Kaehler form. Fora geodesic triangle in D, we compute explicitly the integral R � !, generalizing previous results (see (D-T)). As… Expand

Spectrum Generating Operators and Intertwining Operators for Representations Induced from a Maximal Parabolic Subgroup

- T. Branson, G. Ólafsson, B. Ørsted
- Mathematics
- 10 January 1996

Abstract We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G . Working in the compact realization we find the eigenvalues… Expand

The Maslov index revisited

LetD be a Hermitian symmetric space of tube type,S its Shilov boundary andG the neutral component of the group of bi-holomorphic diffeomorphisms ofD. In the model situationD is the Siegel disc,S is… Expand

Restriction of square integrable representations: Discrete spectrum

In this note, whenever we restrict a square integrable representation of a connected semisimple Lie group to a reductive subgroup, we obtain information about the discrete spectrum.

Estimates for the Restriction of Automorphic Forms on Hyperbolic Manifolds to Compact Geodesic Cycles

- J. Möllers, B. Ørsted
- Mathematics
- 27 June 2016

We find estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles. The geodesic cycles we study are themselves hyperbolic manifolds of lower dimension. The… Expand

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