Results 31 to 40 of about 12,694,302 (282)
Steiner Formula and Gaussian Curvature in the Heisenberg Group
Bruno Pini Mathematical Analysis Seminar, 2016 The classical Steiner formula expresses the volume of the ∈-neighborhood Ω∈ of a bounded and regular domain Ω⊂Rn as a polynomial of degree n in ∈. In particular, the coefficients of this polynomial are the integrals of functions of the curvatures of the
Eugenio Vecchi
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Sub-Finsler Horofunction Boundaries of the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2021 We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics, that is, those that arise as asymptotic cones of word metrics, on the Heisenberg group.
Fisher Nate, Golo Sebastiano Nicolussi
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Critical Kirchhoff equations involving the -sub-Laplacians operators on the Heisenberg group
Bulletin of Mathematical Sciences, 2023 In this paper, we deal with a class of Kirchhoff-type critical elliptic equations involving the [Formula: see text]-sub-Laplacians operators on the Heisenberg group of the form M(∥DHu∥pp + ∥u∥ p,Vp)[−Δ H,pu + V (ξ)|u|p−2u] = λf(ξ,u) + |u|p∗−2u,ξ ∈ ℍn,u ...
Xueqi Sun +3 more
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Quantum Fourier transform, Heisenberg groups and quasiprobability distributions [PDF]
, 2011 This paper aims to explore the inherent connection among Heisenberg groups, quantum Fourier transform and (quasiprobability) distribution functions. Distribution functions for continuous and finite quantum systems are examined first as a semiclassical ...
Arthurs E +20 more
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The Harmonic Oscillator on the Heisenberg Group
Comptes Rendus. Mathématique, 2020 In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
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Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group
Mathematics in Engineering, 2021 We examine the geometry of the level sets of particular horizontally p-harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the level sets of the p-capacitary potential of a bounded annulus in the ...
Mattia Fogagnolo , Andrea Pinamonti
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The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We prove that, in the first Heisenberg group H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin ...
S. Nicolussi, Francesco Serra Cassano
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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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Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group [PDF]
Transactions of the American Mathematical Society, 2018 A Semmes surface in the Heisenberg group is a closed set S S that is upper Ahlfors-regular with codimension one and satisfies the following condition, referred to as Condition B. Every ball B ( x , r ) B(x,r) with x ∈
Katrin Fassler +2 more
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Hyperfinite-Dimensional Representations of Canonical Commutation Relation [PDF]
, 1997 This paper presents some methods of representing canonical commutation relations in terms of hyperfinite-dimensional matrices, which are constructed by nonstandard analysis.
Hideyasu Yamashita, Hinokuma T.
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