Results 61 to 70 of about 109,314 (184)

The Geometry of the Osculating Nilpotent Group Structures of the Heisenberg Calculus

, 2014
We explore the geometry that underlies the osculating nilpotent group structures of the Heisenberg calculus. For a smooth manifold $M$ with a distribution $H\subseteq TM$ analysts use explicit (and rather complicated) coordinate formulas to define the ...
Julg, Pierre, van Erp, Erik
core  

Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria [PDF]

, 1978
Charles Rockland
openalex   +1 more source

A Restriction Theorem for M\'etivier Groups

, 2013
In the spirit of an earlier result of M\"uller on the Heisenberg group we prove a restriction theorem on a certain class of two step nilpotent Lie groups.
Casarino, Valentina, Ciatti, Paolo
core  

A Plancherel measure for the discrete Heisenberg group [PDF]

, 1979
Tadeusz Pytlik
openalex   +1 more source

A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem

Journal of Inequalities and Applications, 2007
Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are determined.
Zixia Yuan, Pengcheng Niu, Jingbo Dou
doaj   +1 more source

Heisenberg XXZ model and quantum Galilei group [PDF]

, 1992
Francesco Bonechi, E. Celeghini, R. Giachetti, E. Sorace, M. Tarlini   +4 more
openalex   +1 more source

Blow-ups of minimal surfaces in the Heisenberg group

Analysis and Geometry in Metric Spaces
In this article, we revise Monti’s results on blow-ups of H-perimeter minimizing sets in Hn{{\mathbb{H}}}^{n}. Monti demonstrated that the Lipschitz approximation of the blow-up, after rescaling by the square root of the excess, converges to a limit ...
Yu Yonghao
doaj   +1 more source

𝑂(𝑛)-spherical functions on Heisenberg groups [PDF]

, 1993
Chal Benson, Joe Jenkins, Gail Ratcliff
openalex   +1 more source

Spectra for Gelfand pairs associated with the Heisenberg group [PDF]

, 1996
Chal Benson, Joe Jenkins, Gail Ratcliff, Tefera Worku   +3 more
openalex   +1 more source

Mikhlin-Type H^p Multiplier Theorem on the Heisenberg Group

Axioms
The classical Fourier multiplier theorem by Mikhlin in Hardy spaces is extended to the Heisenberg group. The proof relies on the theories of atom and molecule functions and the property of special Hermite functions.
Jinsen Xiao, Jianxun He, Yingzhu Wu
doaj   +1 more source