Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ESTIMATES FOR FOURIER SUMS AND EIGENVALUES OF INTEGRAL OPERATORS VIA MULTIPLIERS ON THE SPHERE

Full text
Author(s):
Jordao, T. [1] ; Menegatto, V. A. [1]
Total Authors: 2
Affiliation:
[1] ICMC USP Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 144, n. 1, p. 269-283, JAN 2016.
Web of Science Citations: 2
Abstract

We provide estimates for weighted Fourier sums of integrable functions defined on the sphere when the weights originate from a multiplier operator acting on the space where the function belongs. That implies refined estimates for weighted Fourier sums of integrable kernels on the sphere that satisfy an abstract Holder condition based on a parameterized family of multiplier operators defining an approximate identity. This general estimation approach includes an important class of multiplier operators, namely, that defined by convolutions with zonal measures. The estimates are used to obtain decay rates for the eigenvalues of positive integral operators on L-2(S-m) and generated by a kernel satisfying the Holder condition based on multiplier operators on L-2(S-m). (AU)

FAPESP's process: 11/21300-7 - Eigenvalues of integral operators generated by kernels satisfying abstract Hölder conditions
Grantee:Thaís Jordão
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 14/06209-1 - Fourier coefficients, K-functionals and applications
Grantee:Thaís Jordão
Support type: Regular Research Grants