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Note on Heisenberg Characters of Heisenberg Groups
Ratio Mathematica, 2018 An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite ...
Alieh Zolfi, Ali Reza Ashrafi
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Uncertainty Principles for Heisenberg Motion Group
Abstract and Applied Analysis, 2021 In this article, we will recall the main properties of the Fourier transform on the Heisenberg motion group G=ℍn⋊K, where K=Un and ℍn=ℂn×ℝ denote the Heisenberg group.
Walid Amghar
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Existence of positive radial solution for Neumann problem on the Heisenberg group
Boundary Value Problems, 2020 The existence of at least one positive radial solution of the Neumann problem −ΔHnu+R(ξ)u=a(|ξ|Hn)|u|p−2u−b(|ξ|Hn)|u|q−2u,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
F. Safari, A. Razani
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p-Mechanics and Field Theory [PDF]
, 2004 The orbit method of Kirillov is used to derive the p-mechanical brackets [math-ph/0007030, quant-ph/0212101]. They generate the quantum (Moyal) and classic (Poisson) brackets on respective orbits corresponding to representations of the Heisenberg group ...
Kisil, Vladimir V.
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C1,α-regularity for variational problems in the Heisenberg group [PDF]
Analysis & PDE, 2018 In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group.
S. Mukherjee
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Riesz Potential on the Heisenberg Group
Journal of Inequalities and Applications, 2011 The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
Xiao Jinsen, He Jianxun
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Frontiers in Immunology, 2018 Low oxygen tension or hypoxia is a determining factor in the course of many different processes in animals, including when tissue expansion and cellular metabolism result in high oxygen demands that exceed its supply.
Sundary Sormendi, Ben Wielockx
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Strichartz Estimates and Fourier Restriction Theorems on the Heisenberg Group [PDF]
Journal of Fourier Analysis and Applications, 2019 This paper is dedicated to the proof of Strichartz estimates on the Heisenberg group Hd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
H. Bahouri, D. Barilari, I. Gallagher
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Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2015 We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from ...
Hajłasz Piotr, Zimmerman Scott
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Gauged supergravity from dimensional reduction [PDF]
, 1997 We perform a generalised Scherk-Schwarz reduction of the effective action of the heterotic string on T6 to obtain a massive N = 4 supergravity theory in four dimensions.
Behrndt +23 more
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