Results 51 to 55 of about 508 (55)

Hardy, Rellich and Uncertainty principle inequalities on Carnot Groups [PDF]

arXiv, 2006
In this paper we prove sharp weighted Hardy-type inequalities on Carnot groups with the homogeneous norm $N=u^{1/(2-Q)}$ associated to Folland's fundamental solution $u$ for the sub-Laplacian $\Delta_{\mathbb{G}}$. We also prove uncertainty principle, Caffarelli-Kohn-Nirenberg and Rellich inequalities on Carnot groups.
arxiv  

A non-commutative Sobolev estimate and its application to spectral synthesis [PDF]

arXiv, 2008
In [M. K. Vemuri, Realizations of the canonical representation], it was shown that the spectral synthesis problem for the Alpha transform is closely related to the problem of classifying realizations of the canonical representation (of the Heisenberg group).
arxiv  

Analogues of the Wiener-Tauberian and Schwartz theorems for radial functions on symmetric spaces [PDF]

arXiv, 2009
We prove a Wiener-Tauberian theorem for $L^1$-spherical functions on a semisimple Lie group of arbitrary real rank. We also establish a Schwartz theorem for complex groups. As a corollary we obtain a Wiener-Tauberian type theorem for for compactly supported distributions.
arxiv  

Wrapping Brownian motion and heat kernels II: symmetric spaces [PDF]

arXiv, 2010
In this paper we extend our previous results on wrapping Brownian motion and heat kernels onto compact Lie groups to various symmetric spaces, where a global generalisation of Rouvi\`ere's formula and the $e$-function are considered. Additionally, we extend some of our results to complex Lie groups, and certain non-compact symmetric spaces.
arxiv  

a review of L1-Poincaré inequalities for differential forms on Euclidean spaces and Heisenberg groups by Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre [PDF]

Hirokazu NISHIMURA, 西村 泰一
core   +1 more source