Pencho Petrushev
University of South Carolina
- Director of IMI
IMI Preprints
- Gaussian Bounds for the Weighted Heat Kernels on the Interval, Ball and Simplex (2018)
- Gaussian Bounds for the Heat Kernels on the Ball and Simplex: Classical Approach (2018)
- Precise and Efficient Evaluation of Gravimetric Quantities at Arbitrarily Scattered Points in Space (2017)
- Highly Localized Kernels on the Sphere Induced by Newtonian kernels (2017)
- Harmonic Besov and Triebel-Lizorkin Spaces on the Ball (2016)
- Regularity of Gaussian Processes on Dirichlet Spaces (2015)
- Nonlinear and Nonnested 2-D Spline Approximation (2015)
- Highly Effective Stable Evaluation of Bandlimited Functions on the Sphere (2015)
- Hardy Spaces Associated with Non-Negative Self-Adjoint Operators (2014)
- A New Proof of the Atomic Decomposition of Hardy Spaces (2014)
- Irregular Sampling of Band- Limited Functions on the Sphere and in More General Settings (2013)
- Fast Memory Efficient Evaluation of Spherical Polynomials at Scattered Points (2013)
- Compactly Supported Frames for Spaces of Distributions in the Framework of Dirichlet Spaces (2013)
- Heat Kernel Based Decomposition of Spaces of Distributions in the Framework of Dirichlet Spaces (2012)
- Heat Kernel Generated Frames in the Setting of Dirichlet Spaces (2012)
- Rational Bases for Spaces of Holomorphic Functions in the Disc (2011)
- "Compactly" supported frames for spaces of distributions on the ball (2010)
- Anisotropic meshless frames on R^n (2009)
- Decomposition of spaces of distributions induced by tensor product bases (2009)
- Anisotropic function spaces with applications (2009)
- Fast memory efficient evaluation of spherical polynomials at scattered points (2009)
- Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions (2008)
- Inversion of noisy Radon transform by SVD based needlets (2008)
- Sub-exponentially localized kernels and frames induced by orthogonal expansions (2008)
- On the construction of bases and frames for spaces of distributions (2008)
- Two-level-split decomposition of anisotropic Besov spaces (2007)
- Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball (2007)
- Decomposition of spaces of distributions induced by Hermite expansions (2007)
- Multilevel preconditioning for partition of unity methods - some analytic concepts (2006)
- Localized polynomial frames on the ball (2006)
- NEED-VD: a second-generation wavelet algorithm for estimation in inverse problems (2006)
- Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces (2006)
- Decomposition of Besov and Triebel-Lizorkin spaces on the sphere (2006)
- Anisotropic spaces and nonlinear n-term spline approximation (2005)
- Localized tight frames on spheres (2005)
- Localized polynomial frames on the interval with Jacobi weights (2005)
- Decomposition of Besov and Triebel-Lizorkin spaces on the sphere (2005)
- "Push-the-Error" algorithm for nonlinear n-term approximation (2004)
- Anisotropic Franklin bases on polygonal domains (2004)
- On the construction of frames on Triebel-Lizorkin and Besov spaces (2004)
- High order geometric smoothness for conservation laws (2003)
- Nonlinear approximation from differentiable piecewise polynomials (2002)
- Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects (2002)
- Approximation classes for adaptive methods (2002)
- Nonlinear n-term approximation from hierarchical spline bases (2002)
- Multivariate n-term rational and piecewise polynomail approximation (2001)
- Nonlinear piecewise polynomial approximation beyond Besov spaces (2001)
- New bases for Triebel-Lizorkin and Besov spaces (1999)
- Bases consisting of rational functions of uniformly bounded degrees or more general functions (1998)
- Nonlinear approximation and the space BV(R^2) (1997)
- Approximation by ridge functions and neural networks (1997)
IMI Seminars