AbstractWe extend a well-known result of Bonami and Clerc on the almost everywhere (a.e.) convergence of Cesàro means of spherical harmonic expansions. For smooth functions measured in terms of φ-derivatives on the unit sphere, we obtained the sharp a.e. convergence rate of Cesàro means of their spherical harmonic expansions
Abstract. We study the growth of functions which are harmonic in any number of variables. The result...
AbstractIn a recent paper Bray and Pinsky [1] estimated the growth of f̂(ξ), the Fourier transform o...
AbstractIn this paper, we prove convergence rates for spherical spline Hermite interpolation on the ...
AbstractA divergence result for Cesàro means of spherical h-harmonics expansions with a product weig...
It is known that in the field of learning theory based on reproducing kernel Hilbert spaces the uppe...
We combine the Cantor-Lebesgue Theorem and Uniform Boundedness Principle to prove a divergence resul...
The main theme of this paper is approximation on the sphere by weighted sums of spherical harmonics....
Abstract We offer a new approach to deal with the pointwise convergence of Fourier-Laplace series on...
O objetivo deste trabalho é estudar aproximação na esfera por uma soma com pesos de harmônicos esfér...
This paper considers the problem of computing the harmonic expansion of functions defined on the sph...
Abstract. We study the Fourier-Laplace series on the unit sphere of higher dimensional Eu-clidean sp...
AbstractWe extend a well-known result of Bonami and Clerc on the almost everywhere (a.e.) convergenc...
When a function is expressed as an infinite series of spherical harmonics the convergence can be acc...
When a function is expressed as an infinite series of spherical harmonics the convergence can be acc...
A new approach to multicenter spherical harmonic expansions is presented, which is based on Fourier ...
Abstract. We study the growth of functions which are harmonic in any number of variables. The result...
AbstractIn a recent paper Bray and Pinsky [1] estimated the growth of f̂(ξ), the Fourier transform o...
AbstractIn this paper, we prove convergence rates for spherical spline Hermite interpolation on the ...
AbstractA divergence result for Cesàro means of spherical h-harmonics expansions with a product weig...
It is known that in the field of learning theory based on reproducing kernel Hilbert spaces the uppe...
We combine the Cantor-Lebesgue Theorem and Uniform Boundedness Principle to prove a divergence resul...
The main theme of this paper is approximation on the sphere by weighted sums of spherical harmonics....
Abstract We offer a new approach to deal with the pointwise convergence of Fourier-Laplace series on...
O objetivo deste trabalho é estudar aproximação na esfera por uma soma com pesos de harmônicos esfér...
This paper considers the problem of computing the harmonic expansion of functions defined on the sph...
Abstract. We study the Fourier-Laplace series on the unit sphere of higher dimensional Eu-clidean sp...
AbstractWe extend a well-known result of Bonami and Clerc on the almost everywhere (a.e.) convergenc...
When a function is expressed as an infinite series of spherical harmonics the convergence can be acc...
When a function is expressed as an infinite series of spherical harmonics the convergence can be acc...
A new approach to multicenter spherical harmonic expansions is presented, which is based on Fourier ...
Abstract. We study the growth of functions which are harmonic in any number of variables. The result...
AbstractIn a recent paper Bray and Pinsky [1] estimated the growth of f̂(ξ), the Fourier transform o...
AbstractIn this paper, we prove convergence rates for spherical spline Hermite interpolation on the ...
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