Results 81 to 90 of about 109,413 (274)
Journal of Inequalities and ApplicationsWe consider the logarithmic Sobolev inequality on the Heisenberg group. One can derive the logarithmic Sobolev inequality from the Sobolev inequality, and we consider an application to the uncertainty inequality on the Heisenberg group. Moreover, one can
Takeshi Suguro
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Spherical-Radial Multipliers on the Heisenberg Group
International Journal of Analysis and Applications, 2020 Let Hn be the (2n+1)-dimensional Heisenberg group. We consider a radial Fourier multiplier which is a spherical function on Hn and show that it is a Herz-Schur multiplier.
M.E. Egwe
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Heisenberg groups and noncommutative fluxes [PDF]
Annals of Physics, 2007 We develop a group-theoretical approach to the formulation of generalized abelian gauge theories, such as those appearing in string theory and M-theory. We explore several applications of this approach. First, we show that there is an uncertainty relation which obstructs simultaneous measurement of electric and magnetic flux when torsion fluxes are ...
Freed, D, Moore, G, Segal, G
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Chiroptical Amplification Beyond Enantiopurity in Chiral Films
Advanced Optical Materials, EarlyView.Nonlinear g‐ee dependence in chiral perovskite thin films is demonstrated, revealing amplified chiroptical responses and offering a sensitive probe into chiral applications. This behavior, rarely investigated as it is, is crucial for sensitive enantiomeric sensing and provides insights into chirality mechanisms, as well as structural ordering, offering
Charitini Panagiotopoulou +5 more
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Heisenberg Hausdorff Dimensionof Besicovitch Sets
Analysis and Geometry in Metric Spaces, 2014 We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Venieri Laura
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Trace theorem on the Heisenberg group [PDF]
Annales de l’institut Fourier, 2009 Dans ce travail, nous demontrons des theoremes de trace et de relevement pour les espaces de Sobolev sur le groupe de Heisenberg pour des hypersurfaces dont l'ensemble caracteristique est une sons-variete.
Bahouri, Hajer +2 more
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Substrate‐Controlled Response Coefficients in Thin Films
Advanced Science, EarlyView.Many material‐specific coefficients, which relate external stimuli and functional responses, are constants governed by atomic vibrations. This work demonstrates the concept of controlling such response coefficients by deformations, or strain, through strain‐induced changes in atomic vibrations.
Marina Tyunina +6 more
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Giant Magnetocaloric Effect in a Honeycomb Spiral Spin‐Liquid Candidate
Advanced Science, EarlyView.The frustrated honeycomb‐lattice single‐crystal GdZnPO, a spiral spin‐liquid (SSL) candidate, exhibits a giant magnetocaloric effect (with a large Grüneisen parameter Γm = 4.4 T−1) and exceptional cooling performance near the crossover magnetic field (Hc), surpassing other known magnetocaloric materials.
Yuqian Zhao +4 more
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Lattice representations of Heisenberg groups [PDF]
Mathematische Annalen, 2000 In this article, we prove that a lattice representation of the Heisenberg group $H_{\mathbb R}^{(g,h)}$ associated to a lattice $L$ and a positive definite symmetric half-integral matrix M of degree $h$ is unitarily equivalent to the direct sum of $(det 2M)^g$ copies of the Schroedinger representation of $H_{\mathbb R}^{(g,h)}$.
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Advanced Electronic Materials, EarlyView.Modification of polymer backbone via halogenation and comonomer selection leads to conjugated backbones of different stereoelectronic properties, thin film morphologies, and electrical characteristics. The interplay of conformational isomerism, coplanarity, backbone curvature, backbone orientation, and ordering in thin films, electrical conductivity ...
Diego R. Hinojosa +11 more
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