# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
Strong Conical Hull Intersection Property

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4009 Electronics, Sensors And Digital Hardware

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# publications[].label
M                     -ideals in                     B                     (                     l                                            p                                          )

# publications[].label
Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions

# publications[].label
Advances in Computational Mathematics: Preface

# publications[].label
Approximation properties of zonal function networks using scattered data on the sphere

# publications[].label
Correction to approximation with restricted spectra

# publications[].label
SYSTEM REDUCTION VIA TRUNCATED HANKEL-MATRICES

# publications[].label
LeVeque type inequalities and discrepancy estimates for minimal energy configurations on spheres

# publications[].label
KERNEL APPROXIMATION ON MANIFOLDS I: BOUNDING THE LEBESGUE CONSTANT

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
FACTORIZATION OF DIAGONALLY DOMINANT OPERATORS ON L1([0,1],X)

# publications[].label
Approximation from the space of compact operators and other $M$-ideals

# publications[].label
SEMI-DISCRETENESS AND DILATION THEORY FOR NEST-ALGEBRAS

# publications[].label
Best approximation from the intersection of a closed convex set and a polyhedron in Hilbert space, weak slater conditions, and the strong conical hull intersection property

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Essentially Hermitian operators in B ( L p ) B(L_{p})

# publications[].label
CHOLESKY FACTORIZATION OF POSITIVE DEFINITE BI-INFINITE MATRICES

# publications[].label
Cardinal Interpolation with Gaussian Kernels

# publications[].label
Scattered data interpolation on spheres: Error estimates and locally supported basis functions

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Kernel based quadrature on spheres and other homogeneous spaces

# publications[].label
NORM ESTIMATES FOR THE INVERSES OF A GENERAL-CLASS OF SCATTERED-DATA RADIAL-FUNCTION INTERPOLATION MATRICES

# publications[].label
A TOEPLITZ-HAUSDORFF THEOREM FOR MATRIX RANGES

# publications[].label
A dual approach to constrained interpolation from a convex subset of hilbert space

# publications[].label
Quasi-interpolation in shift invariant spaces

# publications[].label
UNICITY OF BEST L2 APPROXIMATION BY 2ND-ORDER SPLINES WITH VARIABLE KNOTS

# publications[].label
PROXIMINALITY IN OPERATOR-ALGEBRAS ON L1

# publications[].label
HERMITIAN LIFTINGS IN ORLICZ SEQUENCE-SPACES

# publications[].label
A Faber series approach to cardinal interpolation

# publications[].label
NORMS OF INVERSES AND CONDITION NUMBERS FOR MATRICES ASSOCIATED WITH SCATTERED DATA

# publications[].label
Stability results for scattered-data interpolation on Euclidean spheres

# publications[].label
Continuous and discrete least-squares approximation by radial basis functions on spheres

# publications[].label
SIMILARITY AND ISOMETRIC EQUIVALENCE OF L(P)-NESTS

# publications[].label
Error estimates for scattered data interpolation on spheres

# publications[].label
KERNEL APPROXIMATION ON MANIFOLDS II: THE L NORM OF THE L ₂ PROJECTOR

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Generalized Hermite interpolation via matrix-valued conditionally positive definite functions

# publications[].label
APPROXIMATION BY MINIMUM NORM INTERPOLANTS IN THE DISK ALGEBRA

# publications[].label
Unicity of best mean approximation by second order splines with variable knots

# publications[].label
Essentially Hermitian operators on l 1 l_{1} are compact perturbations of Hermitians

# publications[].label
QUASI-UNIQUENESS IN L-INFINITY EXTREMAL PROBLEMS

# publications[].label
Variational principles and Sobolev-type estimates for generalized interpolation on a Riemannian manifold

# publications[].label
A NOTE ON POLYNOMIAL OPERATOR APPROXIMATION

# publications[].label
SIMULTANEOUS LIFTING THEOREM FOR BLOCK DIAGONAL OPERATORS

# publications[].label
APPLICATIONS OF CONVEXITY AND M-IDEAL THEORY TO QUOTIENT BANACH ALGEBRAS

# publications[].label
Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation

# publications[].label
ON THE LEAST-SQUARES FIT BY RADIAL FUNCTIONS TO MULTIDIMENSIONAL SCATTERED DATA

# publications[].label
Wavelets for analyzing scattered data: An unbounded operator approach

# publications[].label
On the smoothness of best L 2 L_{2} approximants from nonlinear spline manifolds

# publications[].label
Lp BERNSTEIN ESTIMATES AND APPROXIMATION BY SPHERICAL BASIS FUNCTIONS

# publications[].label
Analytic wavelets generated by radial functions

# publications[].label
Favards solution is the limit of W k , p W^{k,p} -splines

# publications[].label
Collocation discretizations of the transport equation with radial basis functions

# publications[].label
Approximation power of RBFs and their associated SBFs: a connection

# publications[].label
LOCALLY ISOMETRIC LIFTINGS FROM QUOTIENT C-STAR-ALGEBRAS

# publications[].label
PERSISTENCY OF EXCITATION, IDENTIFICATION, AND RADIAL BASIS FUNCTIONS

# publications[].label
On the representation of band-dominant functions on the sphere using finitely many bits

# publications[].label
Nonstationary wavelets on the m-sphere for scattered data

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Decomposition of Besov and Triebel-Lizorkin spaces on the sphere

# publications[].label
RESTRICTED CENTERS IN SUBALGEBRAS OF C(X)

# publications[].label
A note on polynomial operator approximation

# publications[].label
LOCALIZED BASES FOR KERNEL SPACES ON THE UNIT SPHERE

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Constrained best approximation in Hilbert space .3. Applications to n-convex functions

# publications[].label
Chebyshev subspaces in the space of compact operators

# publications[].label
PERSISTENCY OF EXCITATION IN IDENTIFICATION USING RADIAL BASIS FUNCTION APPROXIMANTS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions

# publications[].label
Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting

# publications[].label
LEAST-SQUARES APPROXIMATION BY RADIAL FUNCTIONS

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Refined error estimates for radial basis function interpolation

# publications[].label
REGARDING THE P-NORMS OF RADIAL BASIS INTERPOLATION MATRICES

# publications[].label
SINGULARITY OF CARDINAL INTERPOLATION WITH SHIFTED BOX SPLINES

# publications[].label
Simultaneous spline approximation and interpolation preserving norms

# publications[].label
ERROR AND STABILITY ESTIMATES FOR SURFACE-DIVERGENCE FREE RBF INTERPOLANTS ON THE SPHERE

# publications[].label
RATE OF CONVERGENCE OF SCHMIDT PAIRS AND RATIONAL FUNCTIONS CORRESPONDING TO BEST APPROXIMANTS OF TRUNCATED HANKEL-OPERATORS

# publications[].label
Wavelets associated with periodic basis functions

# publications[].label
CONSTRAINED BEST APPROXIMATION IN HILBERT-SPACE

# publications[].label
L-IDEALS AND NUMERICAL RANGE PRESERVATION

# publications[].label
Zonal function network frames on the sphere.

# publications[].label
ON THE CONVERGENCE RATE OF S-NUMBERS OF COMPACT HANKEL-OPERATORS

# publications[].label
Approximation in Sobolev spaces by kernel expansions

# publications[].label
On the representation of band-dominant functions on the sphere using finitely many bits

# publications[].label
APPROXIMATION BY COMPACT OPERATORS ON CERTAIN BANACH-SPACES

# publications[].label
Uniqueness of commuting compact approximations

# publications[].label
Cardinal interpolation by multivariate splines

# publications[].label
Erratum: 'On the representation of band-dominant functions of the sphere using finitely many bits' (Advances in Computational Mathematics (2004) 21 (127-146))

# publications[].label
CONSTRAINED BEST APPROXIMATION IN HILBERT-SPACE .2.

# publications[].label
Scattered-data interpolation on Rn: Error estimates for radial basis and band-limited functions

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
ON CONDITION NUMBERS ASSOCIATED WITH RADIAL-FUNCTION INTERPOLATION

# publications[].label
Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalties and positive quadrature" (vol 70, pg 1113, 2001)

# publications[].label
INTERPOLATION OF STATES BY VECTOR STATES ON CERTAIN OPERATOR-ALGEBRAS

# publications[].label
THE GEOMETRIC STRUCTURE OF GENERALIZED STATE-SPACES

# publications[].label
ON THE SENSITIVITY OF RADIAL BASIS INTERPOLATION TO MINIMAL DATA SEPARATION DISTANCE

# publications[].label
CARDINAL INTERPOLATION WITH DIFFERENCES OF TEMPERED FUNCTIONS

# publications[].label
LU-FACTORIZATION OF ORDER BOUNDED OPERATORS ON BANACH SEQUENCE-SPACES

# editorOf[].label
Approximation Theory V: Proceedings of the Fifth International Symposium on Approximation Theory, Held at Texas A&M University on January 13-17, 1986

# editorOf[].label
Approximation Theory IV Proceedings of the International Symposium on Approximation Theory Held at Texas A&M University, College Station, Texas, on January 10-14, 1983

# researcherOn[].label
Localized Kernel Bases With Application To Meshless Methods

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Localized Kernel Bases: Theory and Applications to Meshless Methods

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Theory and Applications of Localized Kernel Bases to Meshfree Methods

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU

# etdChairOf[].label
Le Gia, Quoc Thong (2003-08). Approximation of linear partial differential equations on spheres. Doctoral Dissertation.

# etdChairOf[].label
Lowitzsch, Svenja (2003-05). Approximation and interpolation employing divergence-free radial basis functions with applications. Doctoral Dissertation.

# etdChairOf[].label
Ward, John P. (2010-08). L^p Bernstein Inequalities and Radial Basis Function Approximation. Doctoral Dissertation.

# etdChairOf[].label
Rowe, Stephen Taber (2015-05). Meshfree Methods Using Localized Kernel Bases. Doctoral Dissertation.