Multipliers for the convolution algebra of left and right K-finite compactly supported smooth functions on a semi-simple Lie group.
Multipliers on Schwartz spaces of some Lie groups
N-dimensional affine Weyl-Heisenberg wavelets
Necessary and sufficient conditions for hypoelliptic of certain left invariant operators on nilpotent Lie groups II.
Nilpotent Lie groups and eigenfunction expansions of Schrödinger operators II
Nilpotent Lie groups and summability of eigenfunction expansions of Schrödinger operators
Noncolliding Brownian motions and Harish-Chandra formula.
Nonlinear potential theory for Sobolev spaces on Carnot groups.
On a semigroup of measures with irregular densities
We study the densities of the semigroup generated by the operator on the 3-dimensional Heisenberg group. We show that the 7th derivatives of the densities have a jump discontinuity. Outside the plane x=0 the densities are . We give explicit spectral decomposition of images of in representations.
On heat kernels on Lie groups.
On infinitely small orbits
On Schwartz's theorem for the motion group
Schwartz’s Theorem in spectral synthesis of continuous functions on the real is generalized to the Euclidean motion group. The rightsided analogue of Schwartz’s Theorem for the motion group is reduced to the study of some invariant subspaces of continuous functions on .
On semigroups generated by subelliptic operators on homogeneous groups
On tails of stationary measures on a class of solvable groups
On the behaviour of sequences in the dual of a nilpotent Lie group.
On the construction of fundamental solutions for differential operators on nilpotent groups
On the Definition of Transfer Factors.
On the existence of positive solutions of Yamabe-type equations on the Heisenberg group.
On the Plancherel Measure for Linear Lie Groups of Rank One.
On the relative fundamental solutions for a second order differential operator on the Heisenberg group
Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let , where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.