Results 21 to 30 of about 12,584,112 (314)

Riesz Potential on the Heisenberg Group [PDF]

Journal 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.
Jianxun He, Jinsen Xiao
doaj   +4 more sources

A frequency space for the Heisenberg group [PDF]

Annales de l'Institut Fourier, 2016
We here revisit Fourier analysis on the Heisenberg group H^d. Whereas, according to the standard definition, the Fourier transform of an integrable function f on H^d is a one parameter family of bounded operators on L 2 (R^d), we define (by taking ...
H. Bahouri, J. Chemin, R. Danchin
semanticscholar   +6 more sources

Generation of spin-polarized hot electrons at topological insulators surfaces by scattering from collective charge excitations

Communications Physics, 2021
A key feature of topological insulators, such as Bi2Se3 is their protected electronic surface states where the direction of spin is locked to their momentum.
Khalil Zakeri, Janek Wettstein, Christoph Sürgers   +2 more
doaj   +1 more source

Unconventional magnonic surface and interface states in layered ferromagnets

Communications Physics, 2021
Magnons are the quantized spin waves, which describe the collective magnetic excitations and the long-range magnetic order in a solid. Here, the authors describe how to engineer magnonic band structures at the interface and surface of ferromagnetic ...
Khalil Zakeri, Huajun Qin, Arthur Ernst
doaj   +1 more source

Gauss - Bonnet Theorems in the Lorentzian Heisenberg Group and the Lorentzian Group of Rigid Motions of the Minkowski Plane

Symmetry, 2021
The aim of this paper was to obtain Gauss–Bonnet theorems on the Lorentzian Heisenberg group and the Lorentzian group of rigid motions of the Minkowski plane.
Sining Wei, Yong Wang
semanticscholar   +1 more source

Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group [PDF]

Open Mathematics, 2020
In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.
A. Ajaib, Amjad Hussain
semanticscholar   +1 more source

Geometry of left-invariant Randers metric on the Heisenberg groups [PDF]

Arab Journal of Mathematical Sciences, 2023
Purpose – In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics. Design/methodology/approach – In the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg ...
Ghodratallah Fasihi-Ramandi, Shahroud Azami   +1 more
doaj   +1 more source

Dorronsoro's theorem in Heisenberg groups [PDF]

Bulletin 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   +4 more sources

Gradient flow of Einstein-Maxwell theory and Reissner-Nordström black holes

Journal of High Energy Physics, 2023
Ricci flow is a natural gradient flow of the Einstein-Hilbert action. Here we consider the analog for the Einstein-Maxwell action, which gives Ricci flow with a stress tensor contribution coupled to a Yang-Mills flow for the Maxwell field.
Davide De Biasio, Julian Freigang, Dieter Lüst, Toby Wiseman   +3 more
doaj   +1 more source

Quasiconvexity in the Heisenberg group [PDF]

Geometriae Dedicata, 2017
15 pages, 4 figures.
David A. Herron, Anton Lukyanenko, Jeremy T. Tyson   +2 more
openaire   +3 more sources