Results 11 to 20 of about 113,833 (283)

Steiner Formula and Gaussian Curvature in the Heisenberg Group

open access: greenBruno 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
doaj   +3 more sources

Hölder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group

open access: yesJournal of Function Spaces, 2020
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
doaj   +1 more source

Uncertainty Principles for Heisenberg Motion Group

open access: yesAbstract 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
doaj   +1 more source

Dorronsoro's theorem in Heisenberg groups [PDF]

open access: yesBulletin of the London Mathematical Society, 2020
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
openaire   +3 more sources

p-Mechanics and Field Theory [PDF]

open access: yes, 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.
core   +3 more sources

Discrete Heisenberg-Weyl Group and modular group [PDF]

open access: yesLetters in Mathematical Physics, 1995
12 pages, LaTeX ...
openaire   +2 more sources

Riesz Potential on the Heisenberg Group

open access: yesJournal 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
doaj   +2 more sources

Hypoxia Pathway Proteins As Central Mediators of Metabolism in the Tumor Cells and Their Microenvironment

open access: yesFrontiers 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
doaj   +1 more source

Gauged supergravity from dimensional reduction [PDF]

open access: yes, 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
core   +3 more sources

Sub-Finsler Horofunction Boundaries of the Heisenberg Group

open access: yesAnalysis 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
doaj   +1 more source

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