Results 61 to 70 of about 12,426,629 (301)
Differential calculus on the quantum Heisenberg group
, 1996 The differential calculus on the quantum Heisenberg group is conlinebreak structed. The duality between quantum Heisenberg group and algebra is proved.Comment: AMSTeX, Pages
Bonechi F +7 more
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Shannon Multiresolution Analysis on the Heisenberg Group [PDF]
, 2008 We present a notion of frame multiresolution analysis on the Heisenberg group, abbreviated by FMRA, and study its properties. Using the irreducible representations of this group, we shall define a sinc-type function which is our starting point for ...
Azita Mayeli +16 more
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Heisenberg uniqueness pairs on the Euclidean spaces and the motion group
Comptes Rendus. Mathématique, 2020 In this article, we consider Heisenberg uniqueness pairs corresponding to the exponential curve and surfaces, paraboloid, and sphere. Further, we look for analogous results related to the Heisenberg uniqueness pair on the Euclidean motion group and ...
Chattopadhyay, Arup +3 more
doaj +1 more source
Compensated compactness and the Heisenberg group [PDF]
Mathematische Annalen, 1994 Jacobians of maps on the Heisenberg group are shown to map suitable group Sobolev spaces into the group Hardy space H1. From this result and a weak∗ convergence theorem for the Hardy space H1 of the Heisenberg group, a compensated compactness property for these Jacobians is obtained. 0.
Grafakos, Loukas, Rochberg, Richard
openaire +3 more sources
Critical Schrödinger-Hardy systems in the Heisenberg group
Discrete and Continuous Dynamical Systems. Series A, 2019 The paper is focused on existence of nontrivial solutions of a Schrodinger-Hardy system in the Heisenberg group, involving critical nonlinearities. Existence is obtained by an application of the mountain pass theorem and the Ekeland variational principle,
P. Pucci
semanticscholar +1 more source
Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2016 By adapting a technique of Molchanov, we obtain the heat kernel asymptotics at the sub-Riemannian cut locus, when the cut points are reached by an $r$-dimensional parametric family of optimal geodesics.
D. Barilari, U. Boscain, Robert W. Neel
semanticscholar +1 more source
Convex functions on the Heisenberg group [PDF]
Calculus of Variations and Partial Differential Equations, 2003 Convex functions in Euclidean space can be characterized as universal viscosity subsolutions of all homogeneous fully nonlinear second order elliptic partial differential equations. This is the starting point we have chosen for a theory of convex functions on the Heisenberg group.
G. LU, J. MANFREDI, STROFFOLINI, BIANCA
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On Kac's principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group [PDF]
, 2015 In this note we construct an integral boundary condition for the Kohn Laplacian in a given domain on the Heisenberg group extending to the setting of the Heisenberg group M. Kac's "principle of not feeling the boundary".
Ruzhansky, Michael, Suragan, Durvudkhan
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Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group
American Journal of Mathematics, 2019 :The purpose of this paper is to introduce and study some basic concepts of quantitative rectifiability in the first Heisenberg group $\Bbb{H}$. In particular, we aim to demonstrate that new phenomena arise compared to the Euclidean theory, founded by G.
Vasileios Chousionis +2 more
semanticscholar +1 more source
Wiener measure for Heisenberg group
, 2013 In this paper, we build Wiener measure for the path space on the Heisenberg group by using of the heat kernel corresponding to the sub-Laplacian and give the definition of the Wiener integral.
Liu, Heping, Wang, Yingzhan
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