The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets
The secondary characteristic classes of parabolic foliations.
The Selberg trace formula. I: ...-rank one lattices.
The singularity of orbital measures on compact Lie groups.
We find the minimal real number k such that the kth power of the Fourier transform of any continuous, orbital measure on a classical, compact Lie group belongs to l2. This results from an investigation of the pointwise behaviour of characters on these groups. An application is given to the study of Lp-improving measures.
The size of characters of compact Lie groups
Pointwise upper bounds for characters of compact, connected, simple Lie groups are obtained which enable one to prove that if μ is any central, continuous measure and n exceeds half the dimension of the Lie group, then . When μ is a continuous, orbital measure then is seen to belong to . Lower bounds on the p-norms of characters are also obtained, and are used to show that, as in the abelian case, m-fold products of Sidon sets are not p-Sidon if p < 2m/(m+1).
The Skew-Hyperbolic Motion Group of the Quaternion Plane.
The socle filtration of a Verma module
The space of Surface group representations.
The structure of parabolic subgroups.
The structure of semitopological monoids defined on compact connected 3-manifolds.
The Structure of the Crossed Product C*-Algebras: A Proof of the Generalized Effros-Hahn Conjecture.
The structure space of the trigonometric polynomials on a compact group.
The surjectivity question for the exponential function of real Lie groups: A status report.
The Symmetric-Square L-Function Attached to a Cuspidal Automorphic Representation of GL3.
The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI
Equivalence is established between a special class of Painlevé VI equations parametrized by a conformal dimension , time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomonodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian solutions give...
The tensor product of exceptional representations on the general linear group
The Theta Correspondence and Harmonic Forms. I.
The Theta Correspondence and Harmonic Forms. II.
The topological rationality of linear representations
The Union of Compact Subgroups of a Connected Locally Compact Group.