A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups.
Calderón-Zygmund Kernels Carried by Linear Subspaces of Homogeneous Nilpotent Lie Algebras.
Schranken für verschränkte Faltungsoperatoren..
On the Laplace-Beltrami operator on the oscillator group.
Birational invariants in the case of prime characteristic.
Analysis of second order differential operators on Heisenberg groups. I.
On Lp Spectral Multipliers for a Solvable Lie Group.
Asymptotics for some Green Kernels on the Heisenberg Group and the Martin Boundary.
A.e. convergence of anisotropic partial Fourier integrals on Euclidean spaces and Heisenberg groups
We define partial spectral integrals on the Heisenberg group by means of localizations to isotropic or anisotropic dilates of suitable star-shaped subsets V containing the joint spectrum of the partial sub-Laplacians and the central derivative. Under the assumption that an L²-function f lies in the logarithmic Sobolev space given by , where is a suitable “generalized” sub-Laplacian associated to the dilation structure, we show that converges a.e. to f(x) as R → ∞.
About Riesz transforms on the Heisenberg groups.
On infinitely small orbits
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