Weighted Poincaré inequality and rigidity of complete manifolds
Peter Li, Jiaping Wang (2006)
Annales scientifiques de l'École Normale Supérieure
Xing, Yuming (2005)
Journal of Inequalities and Applications [electronic only]
Thierry Paul, Alejandro Uribe (1998)
Revista Matemática Iberoamericana
Let Ψjh and Ejh denote the eigenfunctions and eigenvalues of a Schrödinger-type operator Hh with discrete spectrum. Let Ψ(x,ξ) be a coherent state centered at a point (x,ξ) belonging to an elliptic periodic orbit, γ of action Sγ and Maslov index σγ. We consider weighted Weyl estimates of the following form: we study the asymptotics, as h → 0 along any sequenceh = Sγ / (2πl - α + σγ), l ∈ N, α ∈ R fixed, ofΣ|Ej - E| ≤ ch |(Ψ(x,ξ), Ψjh)|2.We prove that the asymptotics depend strongly on α-dependent...
J. Muñoz, Josemar Rodríguez, F. J. Muriel (2000)
Czechoslovak Mathematical Journal
Eduardo J. Dubuc, Jorge G. Zilber (2005)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Ivan Kolář (2008)
Archivum Mathematicum
First of all, we find some further properties of the characterization of fiber product preserving bundle functors on the category of all fibered manifolds in terms of an infinite sequence of Weil algebras and a double sequence of their homomorphisms from [5]. Then we introduce the concept of Weilian prolongation of a smooth category over and of its action . We deduce that the functor transforms -bundles into -bundles.
Adam Bartoszek, Jerzy Kalina, Antoni Pierzchalski (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
A Weitzenböck formula for SL(q)-foliations is derived. Its linear part is a relative trace of the relative curvature operator acting on vector valued forms.
Bogdan Balcerzak, Jerzy Kalina, Antoni Pierzchalski (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
A Weitzenböck formula for the Laplace-Beltrami operator acting on differential forms on Lie algebroids is derived.
Tosio Kato, Gustavo Ponce (1986)
Revista Matemática Iberoamericana
In this paper we show that the Euler equation for incompressible fluids in R2 is well posed in the (vector-valued) Lebesgue spacesLsp = (1 - ∆)-s/2 Lp(R2) with s > 1 + 2/p, 1 < p < ∞and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.
Matania Ben-Artzi, Philippe G. Le Floch (2007)
Annales de l'I.H.P. Analyse non linéaire
Strasburger, Aleksander (1998)
Proceedings of the 17th Winter School "Geometry and Physics"
In the paper the origins of the intrinsic unitary symmetry encountered in the study of bosonic systems with finite degrees of freedom and its relations with the Weyl algebra (1979, Jacobson) generated by the quantum canonical commutation relations are presented. An analytical representation of the Weyl algebra formulated in terms of partial differential operators with polynomial coefficients is studied in detail. As a basic example, the symmetry properties of the -dimensional quantum harmonic oscillator...
F. Nicola (2001)
Rendiconti del Seminario Matematico della Università di Padova
Cortés, Vicente (1997)
General Mathematics
Ismael Bailleul, Albert Raugi (2010)
ESAIM: Probability and Statistics
We provide an alternative algebraic and geometric approach to the results of [I. Bailleul, Probab. Theory Related Fields141 (2008) 283–329] describing the asymptotic behaviour of the relativistic diffusion.
Martin T. Barlow (2004)
Revista Matemática Iberoamericana
Anne Kambouchner, David J. A. Trotman (1979)
Annales scientifiques de l'École Normale Supérieure
Hans Brodersen, David Trotman (1979)
Mathematica Scandinavica
Jens Gravesen (1983)
Mathematica Scandinavica
V. Navarro Aznar, David J. A. Trotman (1981)
Annales de l'institut Fourier
Given adjacent subanalytic strata in verifying Kuo’s ratio test (resp. Verdier’s -regularity) we find an open dense subset of the codimension submanifolds (wings) containing such that is generically Whitney -regular is exactly one more than the dimension...
J. Bonet, R. Braun, R. Meise, B. Taylor (1991)
Studia Mathematica