Vectorial Slepian Functions on the Ball (Q4646683)

scientific article; zbMATH DE number 7001363

Language	Label	Description	Also known as
English	Vectorial Slepian Functions on the Ball	scientific article; zbMATH DE number 7001363

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instance of

scholarly article

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title

Vectorial Slepian Functions on the Ball (English)

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Numerical Functional Analysis and Optimization

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publication date

14 January 2019

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full work available at URL

https://arxiv.org/abs/1707.00425

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zbMATH Keywords

ball

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band-limited functions

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eigenvalue problem

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Jacobi polynomials

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spatio-spectral localization

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spectral analysis

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vector spherical harmonics

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vectorial Slepian concentration problem

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MaRDI profile type

MaRDI publication profile

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cites work

On the null space of a class of Fredholm integral equations of the first kind

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Splines on the three-dimensional ball and their application to seismic body wave tomography

0 references

Harmonic spline–wavelets on the 3–dimensional ball and their application to the reconstruction of the Earth's density distribution from gravitational data at arbitrarily shaped satellite orbits

0 references

Electro-magneto-encephalography for the three-shell model: numerical implementation via splines for distributed current in spherical geometry

0 references

Scale continuous, scale discretized, and scale discrete harmonic wavelets for the outer and the inner space of a sphere and their application to an inverse problem in geomathematics

0 references

Regularized wavelet-based multiresolution recovery of the harmonic mass density distribution from data of the Earth's gravitational field at satellite height

0 references

A unified approach to various techniques for the non-uniqueness of the inverse gravimetric problem and wavelet-based methods

0 references

On the complementarity of electroencephalography and magnetoencephalography

0 references

On the non-uniqueness of the inverse MEG problem

0 references

Singular value decomposition and its application to numerical inversion for ray transforms in 2D vector tomography

0 references

The unique determination of neuronal currents in the brain via magnetoencephalography

0 references

Asymptotic inversion formulas in 3D vector field tomography for different geometries

0 references

The approximate inverse in action. III: 3D-Doppler tomography

0 references

Reconstruction of the solenoidal part of a three-dimensional vector field by its ray transforms along straight lines parallel to coordinate planes

0 references

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II

0 references

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions

0 references

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

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Band-limited functions on a bounded spherical domain: The Slepian problem on the sphere

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Spatiospectral Concentration on a Sphere

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Slepian spatial-spectral concentration on the ball

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Revisiting the concentration problem of vector fields within a spherical cap: a commuting differential operator solution

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Spatiospectral concentration of vector fields on a sphere

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Differential Operators Commuting with Finite Convolution Integral Operators: Some Nonabelian Examples

0 references

Slepian functions on the sphere, generalized Gaussian quadrature rule

0 references

Spline multiresolution and numerical results for joint gravitation and normal-mode inversion with an outlook on sparse regularisation

0 references

On the convergence theorem for the regularized functional matching pursuit (RFMP) algorithm

0 references

The Regularized Orthogonal Functional Matching Pursuit for Ill-Posed Inverse Problems

0 references

Special functions of mathematical (geo-)physics

0 references

Spherical functions of mathematical geosciences. A scalar, vectorial, and tensorial setup

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Lectures on constructive approximation. Fourier, spline, and wavelet methods on the real line, the sphere, and the ball

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Isotropic reproducing kernels for the inner of a sphere or spherical shell and their use as density covariance functions

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Orthogonal Polynomials of Several Variables

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Adaptive quadrature -- Revisited

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Identifiers

zbMATH Open document ID

1454.33011

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DOI

10.1080/01630563.2018.1465953

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4646683