Decay of Singular Values of Power Series Kernels on the Sphere

Azevedo, D.; Menegatto, V. A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Decay of Singular Values of Power Series Kernels on the Sphere

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Author(s):	Azevedo, D. ^[1] ; Menegatto, V. A. ^[2] Total Authors: 2
Affiliation:	^[1] Tecnol Fed Univ Parana, Acad Dept Math, Cornelio Procopio - Brazil ^[2] Univ Sao Paulo, Inst Computat & Math Sci, Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION; v. 37, n. 4, p. 440-458, APR 2 2016.
Web of Science Citations:	0
Abstract
In this article, we provide decay rates for singular values of compact integral operators generated by power series kernels on either the unit sphere or the closed unit ball in (m+1), m1 under decay assumptions on the coefficients in the expansion of the kernel. The results are illustrated in concrete examples, including an integral operator generated by a Gaussian kernel on the sphere. (AU)

FAPESP's process:	10/00478-0 - Decay rates for eigenvalues of positive integral operators on the sphere.
Grantee:	Douglas Azevedo Sant 'Anna
Support Opportunities:	Scholarships in Brazil - Doctorate


FAPESP's process:	14/00277-5 - Positive definite kernels and integral operators generated by them
Grantee:	Valdir Antonio Menegatto
Support Opportunities:	Regular Research Grants

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