The main theme of this paper is the approximation on the sphere by weighted sums of spherical harmonics. We give necessary and sufficient conditions on the weights for con-vergence in both the continuous and the Lp cases. Approximation by spherical convolu-tion is a particular and important case that fits into our setting. 1. Introduction an
We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n , n ≥ 1$. Suc...
On the Earth and in its neighborhood, spherical harmonic analysis and synthesis are standard mathema...
© 2016 Springer Science+Business Media New York This paper first shows that the Riemann localisation...
The main theme of this paper is approximation on the sphere by weighted sums of spherical harmonics....
O objetivo deste trabalho é estudar aproximação na esfera por uma soma com pesos de harmônicos esfér...
The h-harmonics are analogous of the ordinary harmonics, they are orthogonal homogeneous polynomials...
AbstractAdvances in approximation theory are often driven by applications. This paper explores two r...
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension a...
This paper considers the problem of computing the harmonic expansion of functions defined on the sph...
The direct and inverse theorems are established for the best approximation in the weighted L spa...
Localised polynomial approximations on the sphere have a variety of applications in areas such as si...
The aim of this thesis is to study approximation of multivariate functions on the complex sphere by ...
The aim of this thesis is to study approximation of multivariate functions on the complex sphere by ...
We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n , n ≥ 1$. Suc...
We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n , n ≥ 1$. Suc...
We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n , n ≥ 1$. Suc...
On the Earth and in its neighborhood, spherical harmonic analysis and synthesis are standard mathema...
© 2016 Springer Science+Business Media New York This paper first shows that the Riemann localisation...
The main theme of this paper is approximation on the sphere by weighted sums of spherical harmonics....
O objetivo deste trabalho é estudar aproximação na esfera por uma soma com pesos de harmônicos esfér...
The h-harmonics are analogous of the ordinary harmonics, they are orthogonal homogeneous polynomials...
AbstractAdvances in approximation theory are often driven by applications. This paper explores two r...
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension a...
This paper considers the problem of computing the harmonic expansion of functions defined on the sph...
The direct and inverse theorems are established for the best approximation in the weighted L spa...
Localised polynomial approximations on the sphere have a variety of applications in areas such as si...
The aim of this thesis is to study approximation of multivariate functions on the complex sphere by ...
The aim of this thesis is to study approximation of multivariate functions on the complex sphere by ...
We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n , n ≥ 1$. Suc...
We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n , n ≥ 1$. Suc...
We consider integrals of spherical harmonics with Fourier exponents on the sphere $S^n , n ≥ 1$. Suc...
On the Earth and in its neighborhood, spherical harmonic analysis and synthesis are standard mathema...
© 2016 Springer Science+Business Media New York This paper first shows that the Riemann localisation...