7 citations · 11 across the 3 of their papers we have counts for
7 papers
The Paley-Wiener Theorem for the Jacobi Transform and the Local Huygens' Principle for Root Systems with Even Multiplicities
Thomas Branson, Gestur Olafsson, Angela Pasquale
This note is a continuation of the previous paper math.AP/0411383 by the same authors. Its purpose is to extend the results of math.AP/0411383 to the context of root systems with e…
The Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces
Thomas Branson, Gestur Olafsson, Angela Pasquale
We prove a Paley-Wiener Theorem for a class of symmetric spaces of the compact type, in which all root multiplicities are even. This theorem characterizes functions of small suppor…
Conformally invariant operators, differential forms, cohomology and a generalisation of Q-curvature
Thomas Branson, A. Rod Gover
On conformal manifolds of even dimension we construct a family of new conformally invariant differential complexes. Each bundle in each of these complexes appears either…
Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds
Thomas Branson, A. Rod Gover
On Riemannian signature conformal 4-manifolds we give a conformally invariant extension of the Maxwell operator on 1-forms. We show the extension is in an appropriate sense injecti…
Bochner-Weitzenboeck formulas associated with the Rarita-Schwinger operator
Thomas Branson, Oussama Hijazi
In this paper, we establish basic material for future investigations of the analysis and geometry of the twistor bundle, and of differential operators with the twistor bundle as so…
Curvature actions on Spin(n) bundles
Collin Bennett, Thomas Branson
We compute the number of linearly independent ways in which a tensor of Weyl type may act upon a given irreducible tensor-spinor bundle V over a Riemannian manifold. Together with…