Pencho Petrushev
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Rational approximation of real functions
PP Petrushev, VA Popov
Cambridge University Press, 2011
Localized tight frames on spheres
FJ Narcowich, P Petrushev, JD Ward
SIAM Journal on Mathematical Analysis 38 (2), 574-594, 2006
Nonlinear approximation and the space BV [inline-graphic xmlns: xlink=" http://www. w3. org/1999/xlink" xlink: href=" 01i"/]
A Cohen, R DeVore, P Petrushev, H Xu
American Journal of Mathematics 121 (3), 587-628, 1999
Clinical implementation of laryngeal high-speed videoendoscopy: challenges and evolution
DD Deliyski, PP Petrushev, HS Bonilha, TT Gerlach, B Martin-Harris, ...
Folia Phoniatrica et Logopaedica 60 (1), 33-44, 2008
Decomposition of Besov and Triebel–Lizorkin spaces on the sphere
F Narcowich, P Petrushev, J Ward
Journal of Functional Analysis 238 (2), 530-564, 2006
Approximation by ridge functions and neural networks
PP Petrushev
SIAM Journal on Mathematical Analysis 30 (1), 155-189, 1998
Approximation classes for adaptive methods
P Binev, W Dahmen, R DeVore, P Petrushev
Serdica Mathematical Journal 28 (4), 391p-416p, 2002
Heat kernel generated frames in the setting of Dirichlet spaces
T Coulhon, G Kerkyacharian, P Petrushev
Journal of Fourier Analysis and Applications 18, 995-1066, 2012
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
G Kerkyacharian, P Petrushev
Transactions of the American Mathematical Society 367 (1), 121-189, 2015
Direct and converse theorems for spline and rational approximation and Besov spaces
PP Petrushev
Function Spaces and Applications: Proceedings of the US-Swedish Seminar held …, 1988
Localized polynomial frames on the ball
P Petrushev, Y Xu
Constructive Approximation 27 (2), 121-148, 2008
Approximation by feed-forward neural networks
RA DeVore, KI Oskolkov, PP Petrushev
Annals of Numerical Mathematics 4, 261-288, 1996
Localized polynomial frames on the interval with Jacobi weights
P Petrushev, Y Xu
Journal of Fourier Analysis and Applications 11, 557-575, 2005
Nonlinear piecewise polynomial approximation beyond Besov spaces
B Karaivanov, P Petrushev
Applied and computational harmonic analysis 15 (3), 177-223, 2003
New bases for Triebel-Lizorkin and Besov spaces
G Kyriazis, P Petrushev
Transactions of the American Mathematical Society 354 (2), 749-776, 2002
Decomposition of weighted Triebel–Lizorkin and Besov spaces on the ball
G Kyriazis, P Petrushev, Y Xu
Proceedings of the London Mathematical Society 97 (2), 477-513, 2008
Decomposition of spaces of distributions induced by Hermite expansions
P Petrushev, Y Xu
Journal of Fourier Analysis and Applications 14 (3), 372-414, 2008
Sub-exponentially localized kernels and frames induced by orthogonal expansions
K Ivanov, P Petrushev, Y Xu
Mathematische Zeitschrift 264 (2), 361-397, 2010
Needlet algorithms for estimation in inverse problems
G Kerkyacharian, P Petrushev, D Picard, T Willer
Nonlinear Wavelet Approximation in the Space C(R d )
RA DeVore, P Petrushev, XM Yu
Progress in Approximation Theory: An International Perspective, 261-283, 1992
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