Browsing by Author "Kyriazis, George C."
Now showing items 1-20 of 28
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Anisotropic Franklin bases on polygonal domains
Kyriazis, George C.; Park, K.; Petrushev, P. (2006)Franklin systems induced by Courant elements over multilevel nested triangulations of polygonal domains in ℝ2 are explored. Mild conditions are imposed on the triangulations which prevent them from deterioration and at the ...
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Approximation from shift-invariant spaces
Kyriazis, George C. (1995)
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Approximation of Distribution Spaces by Means of Kernel Operators
Kyriazis, George C. (1995)
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Approximation of Distribution Spaces by Means of Kernel Operators
Kyriazis, George C. (1996)
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Approximation orders of principal shift-invariant spaces generated by box splines
Kyriazis, George C. (1996)
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Bronchoalveolar lavage fluid and blood natural killer and natural killer T‐like cells in cryptogenic organizing pneumonia
Papakosta, Despina; Manika, Katerina; Gounari, Evdoxia; Kyriazis, George C.; Kontakiotis, Theodore; Spyropoulos, George; Kontakioti, Eirini; Zarogoulidis, Konstantinos (2014)
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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 ...
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"Compactly" supported frames for spaces of distributions on the ball
Kyriazis, George C.; Petrushev, P. (2012)
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Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
Kyriazis, George C.; Petrushev, P.; Xu, Y. (2008)Weighted Triebel-Lizorkin and Besov spaces on the unit ball Bd in d with weights wμ(x)=(1-x2)μ-1/2, μ≥0, are introduced and explored. A decomposition scheme is developed in terms of almost exponentially localized polynomial ...
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Decomposition systems for function spaces
Kyriazis, George C. (2003)Let Θ := {θIe : e ∈ E, I ∈ D} be a decomposition system for L2(ℝd) indexed over D, the set of dyadic cubes in ℝd, and a finite set E, and let θ̃ := {θ̃Ie : e ∈ E, I ∈ D} be the corresponding dual functionals. That is, for ...
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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. ...
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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 ...
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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 ...
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Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces
Kyriazis, George C.; Petrushev, P.; Xu, Y. (2008)The Littlewood-Paley theory is extended to weighted spaces of distributions on [-1,1] with Jacobi weights w(t) = (1 - t)α(1+t) β. Almost exponentially localized polynomial elements (needlets) {ρξ}, {ψξ} are constructed ...
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Maximal functions and smoothness spaces in Lp(Rd)
Kyriazis, George C. (1998)
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Maximal functions and smoothness spaces in Lp(ℝd)
Kyriazis, George C. (1998)We study smoothness spaces generated by maximal functions related to the local approximation errors of integral operators. It turns out that in certain cases these smoothness classes coincide with the spaces Cαp (ℝd), 0 < ...
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Multilevel characterizations of anisotropic function spaces
Kyriazis, George C. (2005)We present a general method for extending decomposition systems of L 2(ℝd) to decomposition systems for the anisotropic Triebel-Lizorkin and Besov spaces, Fp,qα,s and Bp,qα,s, respectively, for the full range of the indexes. ...
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Multiscale Characterizations of Besov Spaces on Bounded Domains
DeVore, R. A.; Kyriazis, George C.; Wang, P. (1998)
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Near best tree approximation
Baraniuk, R. G.; DeVore, R. A.; Kyriazis, George C.; Yu, X. M. (2002)Tree approximation is a form of nonlinear wavelet approximation that appears naturally in applications such as image compression and entropy encoding. The distinction between tree approximation and the more familiar n-term ...
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New bases for Triebel-Lizorkin and Besov spaces
Kyriazis, George C.; Petrushev, P. (2002)We give a new method for construction of unconditional bases for general classes of Triebel-Lizorkin and Besov spaces. These include the Lp, Hp, potential, and Sobolev spaces. The main feature of our method is that the ...