Casimir elements and optimal control
Page 1
Displaying 1 – 19 of 19
Cayley orders
Arjeh M. Cohen, Gabriele Nebe, Wilhelm Plesken (1996)
Compositio Mathematica
Characteristic points, rectifiability and perimeter measure on stratified groups
Valentino Magnani (2006)
Journal of the European Mathematical Society
We establish an explicit connection between the perimeter measure of an open set with boundary and the spherical Hausdorff measure restricted to , when the ambient space is a stratified group endowed with a left invariant sub-Riemannian metric and denotes the Hausdorff dimension of the group. Our formula implies that the perimeter measure of is less than or equal to up to a dimensional factor. The validity of this estimate positively answers a conjecture raised by Danielli, Garofalo...
Characterization of the -range of the Poisson transform in hyperbolic spaces .
Boussejra, A., Sami, H. (2002)
Journal of Lie Theory
Characters and inner forms of a quasi-split group over
D. Shelstad (1979)
Compositio Mathematica
Class Operators for Compact Lie Groups
N. B. Backhouse, J. Rembielinski, W. Tybor (1996)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Complemented *-primitive Ideals in L1-algebras of Exponential Lie Groups and of Motion Groups.
J. Ludwig, M.E.B. Bekka (1990)
Mathematische Zeitschrift
Composition and L²-boundedness of flag kernels
Paweł Głowacki (2010)
Colloquium Mathematicae
We prove the composition and L²-boundedness theorems for the Nagel-Ricci-Stein flag kernels related to the natural gradation of homogeneous groups.
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
Yuri L. Sachkov (2010)
ESAIM: Control, Optimisation and Calculus of Variations
The left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is studied. Local and global optimality of extremal trajectories is characterized. Lower and upper bounds on the first conjugate time are proved. The cut time is shown to be equal to the first Maxwell time corresponding to the group of discrete symmetries of the exponential mapping. Optimal synthesis on an open dense subset of the state space is described.
Constant term in Harish-Chandra’s limit formula
Mladen Božičević (2008)
Annales mathématiques Blaise Pascal
Let be a real form of a complex semisimple Lie group . Recall that Rossmann defined a Weyl group action on Lagrangian cycles supported on the conormal bundle of the flag variety of . We compute the signed average of the Weyl group action on the characteristic cycle of the standard sheaf associated to an open -orbit on the flag variety. This result is applied to find the value of the constant term in Harish-Chandra’s limit formula for the delta function at zero.
Continuous measures on compact Lie groups
M. Anoussis, A. Bisbas (2000)
Annales de l'institut Fourier
We study continuous measures on a compact semisimple Lie group using representation theory. In Section 2 we prove a Wiener type characterization of a continuous measure. Next we construct central measures on which are related to the well known Riesz products on locally compact abelian groups. Using these measures we show in Section 3 that if is a compact set of continuous measures on there exists a singular measure such that is absolutely continuous with respect to the Haar measure on...
Convergence of Poisson integrals on semidirect extensions of homogeneous groups
Ewa Damek (1989)
Colloquium Mathematicae
Convex functions on Carnot groups.
P. Juutinen, G. Lu, J. J. Manfredi, B. Stroffolini (2007)
Revista Matemática Iberoamericana
Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
Francescopaolo Montefalcone (2016)
Analysis and Geometry in Metric Spaces
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.
Convexité pour les opérateurs différentiels invariants sur les groupes de Lie.
Michel Duflo, David Wigner (1979)
Mathematische Zeitschrift
Convexity for invariant differential operators on semisimple symmetric spaces
E. P. Van den Ban, H. Schlichtkrull (1993)
Compositio Mathematica
Correction to "Composition and L²-boundedness of flag kernels" (Colloq. Math. 118 (2010), 581-585)
Paweł Głowacki (2010)
Colloquium Mathematicae
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane*
Yuri L. Sachkov (2011)
ESAIM: Control, Optimisation and Calculus of Variations
The left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is considered. In the previous works [Moiseev and Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009004; Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009031], extremal trajectories were defined, their local and global optimality were studied. In this paper the global structure of the exponential mapping is described. On this basis an explicit characterization of the cut locus and Maxwell set is obtained....
Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane*
Yuri L. Sachkov (2011)
ESAIM: Control, Optimisation and Calculus of Variations
The left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is considered. In the previous works [Moiseev and Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009004; Sachkov, ESAIM: COCV, DOI: 10.1051/cocv/2009031], extremal trajectories were defined, their local and global optimality were studied. In this paper the global structure of the exponential mapping is described. On this basis an explicit characterization of the cut locus and Maxwell set is obtained....
Currently displaying 1 – 19 of 19
Page 1