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Localized Tight Frames on Spheres

SIAM journal on mathematical analysis, 2006-01, Vol.38 (2), p.574-594

2006

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Highly localized RBF Lagrange functions for finite difference methods on spheres

BIT, 2024-06, Vol.64 (2), Article 16

2024

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Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

Mathematics of computation, 2001-07, Vol.70 (235), p.1113-1130

2001

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A meshless Galerkin method for non-local diffusion using localized kernel bases

Mathematics of computation, 2018-09, Vol.87 (313), p.2233-2258

2018

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Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation

Foundations of computational mathematics, 2012-10, Vol.12 (5), p.625-670

2012

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Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant

SIAM journal on mathematical analysis, 2010-01, Vol.42 (4), p.1732-1760

2010

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LOCALIZED BASES FOR KERNEL SPACES ON THE UNIT SPHERE

SIAM journal on numerical analysis, 2013-01, Vol.51 (5), p.2538-2562

2013

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KERNEL APPROXIMATION ON MANIFOLDS II: THE L∞ NORM OF THE L2 PROJECTOR

SIAM journal on mathematical analysis, 2011, Vol.43 (1-2), p.662-684

2011

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Zonal function network frames on the sphere

Neural networks, 2003-03, Vol.16 (2), p.183-203

2003

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Collocation discretizations of the transport equation with radial basis functions

Applied mathematics and computation, 2003-12, Vol.145 (1), p.97-116

2003

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Approximation with interpolatory constraints

Proceedings of the American Mathematical Society, 2002-05, Vol.130 (5), p.1355-1364

2002

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AN INVERSE THEOREM FOR COMPACT LIPSCHITZ REGIONS IN Rd USING LOCALIZED KERNEL BASES

Mathematics of computation, 2018-07, Vol.87 (312), p.1949-1989

2018

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An inverse theorem for compact Lipschitz regions in \mathbb{R}^d using localized kernel bases

Mathematics of computation, 2018-07, Vol.87 (312), p.1949

2018

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Persistency of excitation in identification using radial basis function approximants

SIAM journal on control and optimization, 1995-03, Vol.33 (2), p.625-642

1995

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Variational principles and Sobolev-type estimates for generalized interpolation on a riemannian manifold

Constructive approximation, 1999-01, Vol.15 (2), p.175-208

1999

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Quasi-Interpolation in Shift Invariant Spaces

Journal of mathematical analysis and applications, 2000-11, Vol.251 (1), p.356-363

2000

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Kernel based quadrature on spheres and other homogeneous spaces

Numerische Mathematik, 2014-05, Vol.127 (1), p.57-92

2014

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Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping

SIAM journal on applied mathematics, 1991-02, Vol.51 (1), p.266-301

1991

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Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting

Mathematics of computation, 2005-04, Vol.74 (250), p.743-763

2005

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Generalized Hermite Interpolation and Positive Definite Kernels on a Riemannian Manifold

Journal of mathematical analysis and applications, 1995-02, Vol.190 (1), p.165-193

Narcowich, F.J.

1995

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Approximation in Sobolev Spaces by Kernel Expansions

Journal of approximation theory, 2002-01, Vol.114 (1), p.70-83

2002

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Continuous and discrete least-squares approximation by radial basis functions on spheres

Journal of approximation theory, 2006-11, Vol.143 (1), p.124-133

2006

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On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits

Advances in computational mathematics, 2004-07, Vol.21 (1/2), p.127-146

2004

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Corrigendum to ``Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

Mathematics of computation, 2002-01, Vol.71 (237), p.453-454

2002

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An Asymptotic Average Decay Rate for the Wave Equation with Variable Coefficient Viscous Damping

SIAM journal on applied mathematics, 1990-10, Vol.50 (5), p.1341-1347

1990

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Localized Tight Frames on Spheres

Highly localized RBF Lagrange functions for finite difference methods on spheres

Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

A meshless Galerkin method for non-local diffusion using localized kernel bases

Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation

Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant

LOCALIZED BASES FOR KERNEL SPACES ON THE UNIT SPHERE

KERNEL APPROXIMATION ON MANIFOLDS II: THE L∞ NORM OF THE L2 PROJECTOR

Zonal function network frames on the sphere

Collocation discretizations of the transport equation with radial basis functions

Approximation with interpolatory constraints

AN INVERSE THEOREM FOR COMPACT LIPSCHITZ REGIONS IN Rd USING LOCALIZED KERNEL BASES

An inverse theorem for compact Lipschitz regions in \mathbb{R}^d using localized kernel bases

Persistency of excitation in identification using radial basis function approximants

Variational principles and Sobolev-type estimates for generalized interpolation on a riemannian manifold

Quasi-Interpolation in Shift Invariant Spaces

Kernel based quadrature on spheres and other homogeneous spaces

Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping

Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting

Generalized Hermite Interpolation and Positive Definite Kernels on a Riemannian Manifold

Approximation in Sobolev Spaces by Kernel Expansions

Continuous and discrete least-squares approximation by radial basis functions on spheres

On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits

Corrigendum to ``Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

An Asymptotic Average Decay Rate for the Wave Equation with Variable Coefficient Viscous Damping

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