Results 31 to 40 of about 310 (54)

On the heat kernel of the Rumin complex and Calderón reproducing formula

Analysis and Geometry in Metric Spaces
We derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo, Franchi Bruno, Sire Yannick   +2 more
doaj   +1 more source

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj   +1 more source

An Uncertainty Principle of Paley and Wiener on Euclidean Motion Group

, 2016
A classical result due to Paley and Wiener characterizes the existence of a non-zero function in $L^2(\mathbb{R})$, supported on a half line, in terms of the decay of its Fourier transform.
Bhowmik, Mithun, Sen, Suparna
core   +1 more source

On Hermite pseudo-multipliers

, 2014
In this article we deal with a variation of a theorem of Mauceri concerning the $ L^p $ boundedness of operators $ M $ which are known to be bounded on $ L^2.$ We obtain sufficient conditions on the kernel of the operaor $ M $ so that it satisfies ...
Bagchi, Sayan, Thangavelu, Sundaram
core   +1 more source

Polynomial and horizontally polynomial functions on Lie groups. [PDF]

Ann Mat Pura Appl, 2022
Antonelli G, Le Donne E.
europepmc   +1 more source

Generalized Bicomplex Numbers and Lie Groups

, 2013
In this paper, we denone the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in R4 and R42 are Lie groups by using generalized bicomplex number product and obtain Lie algebras of these Lie ...
Aksoyak, Ferdağ Kahraman, Karakuş, Sıddıka Özkaldı   +1 more
core  

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 SHARP UNCERTAINTY PRINCIPLE AND HARDY-POINCARE INEQUALITIES ON SUB-RIEMANNIAN MANIFOLDS

, 2012
S. Ahmetolan, I. Kombe
semanticscholar   +1 more source

Spectral multipliers on Lie groups of polynomial growth

, 1994
G. Alexopoulos, M. Ash
semanticscholar   +1 more source

Subadditivity of homogeneous norms on certain nilpotent Lie groups

, 1981
J. Cygan
semanticscholar   +1 more source