194 citations · 477 across the 24 of their papers we have counts for
26 papers
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…
Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators
Athanasios G. Georgiadis, Gerard Kerkyacharian, George Kyriazis +1
We deal with homogeneous Besov and Triebel-Lizorkin spaces in the setting of a doubling metric measure space in the presence of a non-negative self-adjoint operator whose heat kern…
Kernel and wavelet density estimators on manifolds and more general metric spaces
G. Cleanthous, A. Georgiadis, G. Kerkyacharian +2
We consider the problem of estimating the density of observations taking values in classical or nonclassical spaces such as manifolds and more general metric spaces. Our setting is…
Gaussian bounds for the heat kernels on the ball and simplex: Classical approach
Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu
Two-sided Gaussian bounds are established for the weighted heat kernels on the unit ball and simplex in generated by classical differential operators whose eigenfunc…
Gaussian bounds for the weighted heat kernels on the interval, ball and simplex
Gerard Kerkyacharian, Pencho Petrushev, Yuan Xu
The aim of this article is to establish two-sided Gaussian bounds for the heat kernels on the unit ball and simplex in , and in particular on the interval, generated…
Regularity of Gaussian Processes on Dirichlet spaces
Gerard Kerkyacharian, Shigeyoshi Ogawa, Pencho Petrushev +1
We are interested in the regularity of centered Gaussian processes (Z_x), x in M indexed by compact metric spaces M. It is shown that the almost everywhere Besov space regularity o…