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- Francis J. Narcowich

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
32
Citations
4,447
98
World Ranking
2409
National Ranking
1022

- Mathematical analysis
- Quantum mechanics
- Algebra

Francis J. Narcowich focuses on Mathematical analysis, Radial basis function, Positive-definite matrix, Spherical harmonics and Sobolev space. His work on Bounded function, Pointwise and Self-adjoint operator as part of his general Mathematical analysis study is frequently connected to n-sphere and SPHERES, thereby bridging the divide between different branches of science. The Positive-definite matrix study combines topics in areas such as Condition number, Inverse and Combinatorics.

In his study, which falls under the umbrella issue of Spherical harmonics, Numerical integration, Eigenfunction, Harmonic function and Legendre polynomials is strongly linked to Unit sphere. His Sobolev space research is multidisciplinary, incorporating perspectives in Reproducing kernel Hilbert space, Hilbert space, Lipschitz domain, Function and Least squares. His Hilbert space course of study focuses on Interpolation and Discrete mathematics, Linear combination and Norm.

- Localized Tight Frames on Spheres (277 citations)
- Persistency of Excitation in Identification Using Radial Basis Function Approximants (185 citations)
- Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature (180 citations)

Francis J. Narcowich mainly focuses on Mathematical analysis, Pure mathematics, Interpolation, Sobolev space and Radial basis function. His Mathematical analysis research is multidisciplinary, relying on both Positive-definite matrix and Surface. Francis J. Narcowich has researched Pure mathematics in several fields, including Norm, Bounded function and Inverse.

His studies deal with areas such as Space, Gaussian, Fourier transform and Basis as well as Interpolation. His studies in Sobolev space integrate themes in fields like Smoothness, Type, Least squares and Bernstein inequalities. His Unit sphere study incorporates themes from Function, Numerical integration, Euclidean space and Spherical harmonics.

- Mathematical analysis (50.00%)
- Pure mathematics (27.55%)
- Interpolation (19.39%)

- Pure mathematics (27.55%)
- Mathematical analysis (50.00%)
- Sobolev space (19.39%)

His primary areas of investigation include Pure mathematics, Mathematical analysis, Sobolev space, Bounded function and Applied mathematics. His Pure mathematics research is multidisciplinary, incorporating elements of Positive-definite matrix, Norm, Kernel approximation and Inverse. His work on Spherical harmonics is typically connected to Stiffness matrix as part of general Mathematical analysis study, connecting several disciplines of science.

His research investigates the connection with Sobolev space and areas like Linear combination which intersect with concerns in Combinatorics, Dimension, Basis function, Power function and Type. His Bounded function research includes elements of Surface, Lipschitz continuity and Lebesgue integration. His Applied mathematics research incorporates themes from Function, Discretization, Numerical analysis and Galerkin method.

- L p Bernstein Estimates and Approximation by Spherical Basis Functions (48 citations)
- Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant (44 citations)
- Localized Bases for Kernel Spaces on the Unit Sphere (31 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

His primary scientific interests are in Pure mathematics, Sobolev space, Mathematical analysis, Manifold and Interpolation. Francis J. Narcowich specializes in Pure mathematics, namely Unit sphere. The various areas that Francis J. Narcowich examines in his Sobolev space study include Bernstein polynomial, Norm and Bounded function.

Francis J. Narcowich focuses mostly in the field of Mathematical analysis, narrowing it down to matters related to Positive-definite matrix and, in some cases, Numerical integration and Rotation group SO. Francis J. Narcowich studied Manifold and Lebesgue integration that intersect with Riemannian manifold, Constant and Center. His work deals with themes such as Geometry, Surface and Numerical stability, which intersect with Interpolation.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Localized Tight Frames on Spheres

Francis J. Narcowich;Pencho Petrushev;Joseph D. Ward.

Siam Journal on Mathematical Analysis **(2006)**

338 Citations

Localized Tight Frames on Spheres

Francis J. Narcowich;Pencho Petrushev;Joseph D. Ward.

Siam Journal on Mathematical Analysis **(2006)**

338 Citations

Persistency of Excitation in Identification Using Radial Basis Function Approximants

A. J. Kurdila;Francis J. Narcowich;Joseph D. Ward.

Siam Journal on Control and Optimization **(1995)**

267 Citations

Persistency of Excitation in Identification Using Radial Basis Function Approximants

A. J. Kurdila;Francis J. Narcowich;Joseph D. Ward.

Siam Journal on Control and Optimization **(1995)**

267 Citations

Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

H. N. Mhaskar;F. J. Narcowich;J. D. Ward.

Mathematics of Computation **(2001)**

225 Citations

Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature

H. N. Mhaskar;F. J. Narcowich;J. D. Ward.

Mathematics of Computation **(2001)**

225 Citations

Singularity structure of the two-point function in quantum field theory in curved spacetime, II

S.A Fulling;F.J Narcowich;Robert M Wald.

Annals of Physics **(1981)**

218 Citations

Singularity structure of the two-point function in quantum field theory in curved spacetime, II

S.A Fulling;F.J Narcowich;Robert M Wald.

Annals of Physics **(1981)**

218 Citations

Exponential decay of energy of evolution equations with locally distributed damping

G. Chen;S. A. Fulling;F. J. Narcowich;S. Sun.

Siam Journal on Applied Mathematics **(1991)**

190 Citations

Exponential decay of energy of evolution equations with locally distributed damping

G. Chen;S. A. Fulling;F. J. Narcowich;S. Sun.

Siam Journal on Applied Mathematics **(1991)**

190 Citations

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