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Heat kernel generated frames in the setting of Dirichlet spaces
Heat kernel Gaussian bounds Functional calculus Sampling Frames Besov spaces
2012/6/19
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 ...
Some new Inequalities of Hardy-Hilbert Type with general kernel
Hardy-Hilbert’s inequality Hardy’s inequalities Holder inequality
2011/9/20
Abstract: In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particular results...
Estimates for the resolvent kernel of the Laplacian on p.c.f. self similar fractals and blowups
resolvent kernel Laplacian on p.c.f. self similar fractals blowups
2010/12/14
One of the main features of analysis on post-critically finite self-similar (pcfss) sets is
that it is possible to understand the behavior of the Laplacian and its inverse, the Green
operator, in te...