Approximation of smooth functions on compact two-point homogeneous spaces
G Brown, F Dai - Journal of Functional Analysis, 2005 - Elsevier
Estimates of Kolmogorov n-widths dn (Bpr, Lq) and linear n-widths δn (Bpr, Lq),(1⩽ q⩽∞) of
Sobolev's classes Bpr,(r> 0, 1⩽ p⩽∞) on compact two-point homogeneous spaces (CTPHS) …
Sobolev's classes Bpr,(r> 0, 1⩽ p⩽∞) on compact two-point homogeneous spaces (CTPHS) …
Strictly positive definite kernels on two-point compact homogeneous spaces
VS Barbosa, VA Menegatto - arXiv preprint arXiv:1505.00591, 2015 - arxiv.org
We present a necessary and sufficient condition for the strict positive definiteness of a real,
continuous, isotropic and positive definite kernel on a two-point compact homogeneous …
continuous, isotropic and positive definite kernel on a two-point compact homogeneous …
Polyharmonic and related kernels on manifolds: interpolation and approximation
T Hangelbroek, FJ Narcowich, JD Ward - Foundations of Computational …, 2012 - Springer
This article is devoted to developing a theory for effective kernel interpolation and
approximation in a general setting. For a wide class of compact, connected C∞ Riemannian …
approximation in a general setting. For a wide class of compact, connected C∞ Riemannian …
Entropy and widths of multiplier operators on two-point homogeneous spaces
A Kushpel, SA Tozoni - Constructive Approximation, 2012 - Springer
In this article we continue the development of methods of estimating n-widths and entropy of
multiplier operators begun in 1992 by A. Kushpel (Fourier Series and Their Applications, pp …
multiplier operators begun in 1992 by A. Kushpel (Fourier Series and Their Applications, pp …
[HTML][HTML] Equivalence and orthogonality of Gaussian measures on spheres
The equivalence of Gaussian measures is a fundamental tool to establish the asymptotic
properties of both prediction and estimation of Gaussian fields under fixed domain …
properties of both prediction and estimation of Gaussian fields under fixed domain …
Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex
A Nowak, P Sjögren, TZ Szarek - Mathematische Annalen, 2021 - Springer
We prove genuinely sharp two-sided global estimates for heat kernels on all compact rank-
one symmetric spaces. This generalizes the authors' recent result obtained for a Euclidean …
one symmetric spaces. This generalizes the authors' recent result obtained for a Euclidean …
[PDF][PDF] Bernstein-Nikolskii inequalities and Riesz interpolation formula on compact homogeneous manifolds
IZ Pesenson - arXiv preprint arXiv:1403.4561, 2014 - arxiv.org
arXiv:1403.4561v2 [math.FA] 24 Apr 2014 Page 1 arXiv:1403.4561v2 [math.FA] 24 Apr 2014
BERNSTEIN-NIKOLSKII INEQUALITIES AND RIESZ INTERPOLATION FORMULA ON …
BERNSTEIN-NIKOLSKII INEQUALITIES AND RIESZ INTERPOLATION FORMULA ON …
Optimal recovery and volume estimates
A Kushpel - Journal of Complexity, 2023 - Elsevier
We study volumes of sections of convex origin-symmetric bodies in R n induced by
orthonormal systems on probability spaces. The approach is based on volume estimates of …
orthonormal systems on probability spaces. The approach is based on volume estimates of …
Widths and entropy of sets of smooth functions on compact homogeneous manifolds
We develop a general method to calculate entropy and $ n $-widths of sets of smooth
functions on an arbitrary compact homogeneous Riemannian manifold $%\mathbb {M}^{d} …
functions on an arbitrary compact homogeneous Riemannian manifold $%\mathbb {M}^{d} …
[HTML][HTML] Strict positive definiteness of multivariate covariance functions on compact two-point homogeneous spaces
RN Bonfim, VA Menegatto - Journal of Multivariate Analysis, 2016 - Elsevier
The authors provide a characterization of the continuous and isotropic multivariate
covariance functions associated to a Gaussian random field with index set varying over a …
covariance functions associated to a Gaussian random field with index set varying over a …