Results 11 to 20 of about 113,833 (283)
Steiner Formula and Gaussian Curvature in the Heisenberg Group
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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Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group
In this paper, we apply De Giorgi-Moser iteration to establish the Hölder regularity of quasiminimizers to generalized Orlicz functional on the Heisenberg group by using the Riesz potential, maximal function, Calderón-Zygmund decomposition, and covering ...
Junli Zhang, Pengcheng Niu
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Uncertainty Principles for Heisenberg Motion Group
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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Dorronsoro's theorem in Heisenberg groups [PDF]
A theorem of Dorronsoro from the 1980s quantifies the fact that real-valued Sobolev functions on Euclidean spaces can be approximated by affine functions almost everywhere, and at all sufficiently small scales. We prove a variant of Dorronsoro's theorem in Heisenberg groups: functions in horizontal Sobolev spaces can be approximated by affine functions
Orponen, Tuomas, Fässler, Katrin
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p-Mechanics and Field Theory [PDF]
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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Discrete Heisenberg-Weyl Group and modular group [PDF]
12 pages, LaTeX ...
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Riesz Potential on the Heisenberg Group
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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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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Gauged supergravity from dimensional reduction [PDF]
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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Sub-Finsler Horofunction Boundaries of the Heisenberg Group
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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