194 citations · 477 across the 24 of their papers we have counts for
5 papers · 1 filter
Gaussian bounds for the heat kernel associated to prolate spheroidal wave functions with applications
Aline Bonami, Gerard Kerkyacharian, Pencho Petrushev
Gaussian upper and lower bounds and Hölder continuity are established for the heat kernel associated to the prolate spheroidal wave functions (PSWFs) of order zero. These results a…
Hardy spaces associated with non-negative self-adjoint operators
S. Dekel, G. Kerkyacharian, G. Kyriazis +1
Maximal and atomic Hardy spaces Hp and HAp , are considered in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat ker…
A new proof of the atomic decomposition of Hardy spaces
S. Dekel, G. Kerkyacharian, G. Kyriazis +1
A new proof is given of the atomic decomposition of Hardy spaces Hp, in the classical setting of Rn. The new method can be used to establish atomic decomposition of maximal Hardy s…
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
Gerard Kerkyacharian, Pencho Petrushev
Classical and non classical Besov and Triebel-Lizorkin spaces with complete range of indices are developed in the general setting of Dirichlet space with a doubling measure and loc…
Heat kernel generated frames in the setting of Dirichlet spaces
Thierry Coulhon, Gerard Kerkyacharian, Pencho Petrushev
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 function…