Results 31 to 40 of about 110,593 (279)
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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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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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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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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Isometric embeddings into Heisenberg groups [PDF]
Geometriae Dedicata, 2017 29 ...
Hernando Sobrino +3 more
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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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Isodiametric sets in the Heisenberg group [PDF]
Revista Matemática Iberoamericana, 2012 In the sub-Riemannian Heisenberg group equipped with its Carnot–Carathéodory metric and with a Haar measure, we consider isodiametric sets , i.e., sets maximizing measure among all sets with a given diameter. In particular, given an isodiametric set, and up to negligible sets, we prove that its boundary is given by
LEONARDI, Gian Paolo +2 more
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Entire solutions for some critical equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2022 We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no.
Patrizia Pucci, Letizia Temperini
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On Minty’s theorem in the Heisenberg group [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty's theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.
PINI, RITA, CALOGERO, ANDREA GIOVANNI
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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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