Browsing by Author "Kerkyacharian, G."
Now showing items 1-6 of 6
-
Article
Atomic and Molecular Decomposition of Homogeneous Spaces of Distributions Associated to Non-negative Self-Adjoint Operators
Georgiadis, A. G.; Kerkyacharian, G.; Kyriazis, George; Petrushev, P. (2019)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 kernel has Gaussian localization and the Markov ...
-
Article
Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators
Dekel, S.; Kerkyacharian, G.; Kyriazis, George C.; Petrushev, P. (2014)A small perturbation method is developed and employed to construct frames with compactly supported elements of small shrinking support for Besov and Triebel-Lizorkin spaces in the general setting of a doubling metric measure ...
-
Article
Hardy spaces associated with non-negative self-adjoint operators
Dekel, S.; Kerkyacharian, G.; Kyriazis, George C.; Petrushev, P. (2017)The maximal and atomic Hardy spaces Hp and HA p, 0 < p ≤ 1, are considered in the setting of a doubling metric measure space in the presence of a nonnegative self-adjoint operator whose heat kernel has Gaussian localization. ...
-
Article
Homogeneous Besov and Triebel–Lizorkin spaces associated to non-negative self-adjoint operators
Georgiadis, Athanasios G.; Kerkyacharian, G.; Kyriazis, George C.; Petrushev, P. (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 non-negative self-adjoint operator whose heat kernel ...
-
Article
Inversion of noisy Radon transform by SVD based needlets
Kerkyacharian, G.; Kyriazis, George C.; Le Pennec, E.; Petrushev, P.; Picard, D. (2010)A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon transform SVD basis. Upper bounds of the ...
-
Conference Object
A new proof of the atomic decomposition of Hardy spaces
Dekel, S.; Kerkyacharian, G.; Kyriazis, George; Petrushev, P. (Marin Drinov Academic Publishing House, 2018)