Functional calculus of Lie groups and wave propagation.
Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group
Fundamental solutions of differential operators on homogeneous manifolds of negative curvature and related Riesz transforms
Funktionenalgebren auf Bahnen nilpotenter Gruppen
Gelfand transforms of -invariant Schwartz functions on the free group
The spectrum of a Gelfand pair , where is a nilpotent group, can be embedded in a Euclidean space. We prove that in general, the Schwartz functions on the spectrum are the Gelfand transforms of Schwartz -invariant functions on . We also show the converse in the case of the Gelfand pair , where is the free two-step nilpotent Lie group with three generators. This extends recent results for the Heisenberg group.
Graded nilpotent Lie algebra of rank 3 and inverse of a differential operator. (Algèbre de Lie nilpotente graduée de rang 3 et inverse d'un opérateur différentiel.)
Hardy space H1 associated to Schrödinger operator with potential satisfying reverse Hölder inequality.
Let {Tt}t>0 be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space HA1 by means of a maximal function associated with the semigroup {Tt}t>0. Atomic and Riesz transforms characterizations of HA1 are shown.
Hardy spaces associated with some Schrödinger operators
For a Schrödinger operator A = -Δ + V, where V is a nonnegative polynomial, we define a Hardy space associated with A. An atomic characterization of is shown.
Hardy spaces on affine symmetric spaces.
Harmonic analysis on reductive -adic groups
Harmonic analysis on the group of rigid motions of the Euclidean plane
Harmonische Analyse auf gewissen nilpotenten Lieschen Gruppen
Hausdorff measure of the singular set of quasiregular maps on Carnot groups.
Heat kernel transform for nilmanifolds associated to the Heisenberg group.
Huygens’ principle and a Paley–Wiener type theorem on Damek–Ricci spaces
We prove that Huygens’ principle and the principle of equipartition of energy hold for the modified wave equation on odd dimensional Damek–Ricci spaces. We also prove a Paley–Wiener type theorem for the inverse of the Helgason Fourier transform on Damek–Ricci spaces.
Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups
Injectivity Sets for Spherical Means on ... and on Symmetric Spaces.
Injectivity Sets for Spherical Means on the Heisenberg Group.
Intégrales orbitales sur les algèbres de Lie réductives.
Intégrales orbitales sur les groupes de Lie réductifs