Rational approximation of real functions PP Petrushev, VA Popov Cambridge University Press, 2011 | 492 | 2011 |

Localized tight frames on spheres FJ Narcowich, P Petrushev, JD Ward SIAM Journal on Mathematical Analysis 38 (2), 574-594, 2006 | 354 | 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 | 280 | 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 | 224 | 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 | 177 | 2006 |

Approximation by ridge functions and neural networks PP Petrushev SIAM Journal on Mathematical Analysis 30 (1), 155-189, 1998 | 162 | 1998 |

Approximation classes for adaptive methods P Binev, W Dahmen, R DeVore, P Petrushev Serdica Mathematical Journal 28 (4), 391p-416p, 2002 | 103 | 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 | 100 | 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 | 98 | 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 | 93 | 1988 |

Localized polynomial frames on the ball P Petrushev, Y Xu Constructive Approximation 27 (2), 121-148, 2008 | 75 | 2008 |

Approximation by feed-forward neural networks RA DeVore, KI Oskolkov, PP Petrushev Annals of Numerical Mathematics 4, 261-288, 1996 | 70 | 1996 |

Localized polynomial frames on the interval with Jacobi weights P Petrushev, Y Xu Journal of Fourier Analysis and Applications 11, 557-575, 2005 | 62 | 2005 |

Nonlinear piecewise polynomial approximation beyond Besov spaces B Karaivanov, P Petrushev Applied and computational harmonic analysis 15 (3), 177-223, 2003 | 60 | 2003 |

New bases for Triebel-Lizorkin and Besov spaces G Kyriazis, P Petrushev Transactions of the American Mathematical Society 354 (2), 749-776, 2002 | 55 | 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 | 54 | 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 | 44 | 2008 |

Sub-exponentially localized kernels and frames induced by orthogonal expansions K Ivanov, P Petrushev, Y Xu Mathematische Zeitschrift 264 (2), 361-397, 2010 | 42 | 2010 |

Needlet algorithms for estimation in inverse problems G Kerkyacharian, P Petrushev, D Picard, T Willer | 42 | 2007 |

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 | 35 | 1992 |