Browsing by Subject "Heat kernel"
Now showing items 17 of 7

Article
Centered densities on Lie groups of polynomial volume growth
(2002)We study the asymptotic behavior of the convolution powers φ*n =φ*φ*⋯φ* of a centered density φ on a connected Lie group G of polynomial volume growth. The main tool is a Harnack inequality which is proved by using ideas ...

Article
Compactly supported frames for spaces of distributions associated with nonnegative selfadjoint operators
(2014)A small perturbation method is developed and employed to construct frames with compactly supported elements of small shrinking support for Besov and TriebelLizorkin spaces in the general setting of a doubling metric measure ...

Article
Homogeneous Besov and Triebel–Lizorkin spaces associated to nonnegative selfadjoint operators
(2017)Homogeneous Besov and Triebel–Lizorkin spaces with complete set of indices are introduced in the general setting of a doubling metric measure space in the presence of a nonnegative selfadjoint operator whose heat kernel ...

Article
Integral Geometric Properties of Noncompact Harmonic Spaces
(2013)On noncompact harmonic manifolds we prove that functions satisfying the mean value property for two generic radii must be harmonic. Moreover, functions with vanishing integrals over all spheres (or balls) of two generic ...

Article
On the large time behavior of the heat kernels of quasiperiodic differential operators
(2000)We prove an analog of the BerryEsseen estimate for the heat kernel of second order elliptic differential operators with quasiperiodic coefficients. As an application of this result, we prove the Lp boundedness of the ...

Article
Random walks on discrete groups of polynomial volume growth
(2002)Let μ be a probability measure with finite support on a discrete group Γ of polynomial volume growth. The main purpose of this paper is to study the asymptotic behavior of the convolution powers μ*n μ. If μ is centered, ...

Article
SubLaplacians with drift on Lie groups of polynomial volume growth
(2002)We prove a parabolic Harnack inequality for a centered subLaplacian L on a connected Lie group G of polynomial volume growth by using ideas from Homogenisation theory and by adapting the method of Krylov and Safonov. We ...