Results 21 to 30 of about 113,833 (283)
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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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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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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Concentration-compactness results for systems in the Heisenberg group [PDF]
Opuscula Mathematica, 2020 In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
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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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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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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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CMC Spheres in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2019 We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group H1. These spheres are conjectured to be the isoperimetric sets of H1. We prove several results supporting this conjecture.
Franceschi Valentina +2 more
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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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