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We prove two-sided estimates of heat kernels on non-parabolic Riemannian manifolds with ends, assuming that the heat kernel on each end separately satisfies the Li-Yau estimate. Résumé. — Nous obte...
We study how bounds on the local geometry of a Riemannian polyhedral complex yield uniform local Poincare inequalities. These inequalities have a variety of applications, including bounds on the he...
Wavelet bases and frames consisting of band limited functions of nearly exponential localization on Rd are a powerful tool in harmonic analysis by making various spaces of functions and distributions ...
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
We obtain the solution of such equation which is related to the spectrum and the kernel. Moreover, such the kernel has interesting properties and also related to the kernel of an extension of the heat...
We compute the quantum effective action induced by integrating out fermions in Yang-Mills matrix models on a 4-dimensional background, expanded in powers of a gauge-invariant UV cutoff.
Let $(M^m,g)$ be a m-dimensional complete Riemannian manifold which satisfies the n-Sobolev inequality and on which the volume growth is comparable to the one of $\R^n$ for big balls; if the Hodge Lap...
Suppose $d\geq 2$ and $\alpha \in (1, 2)$. Let $D$ be a bounded $C^{1,1}$ open set in $R^d$ and $b$ an $R^d$-valued function on $R^d$ whose components are in a certain Kato class of the rotationally ...
We prove heat kernel estimates for the ¯@-Neumann Laplacian  acting in spaces of differential forms over noncompact manifolds with a Lie group symmetry and compact quotient. We also relate our ...
The asymptotic expansion of the heat kernel $\Theta(t)=\sum\limits_{j=1}^\infty \exp (-t\lambda \Sb \\ j \endSb )$where $\{\lambda \Sb \\ j \endSb \}\Sb\\ j=1 \endSb ^\infty $ are the eigenvalues...

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