Eigenvalues of integral operators generated by kernels satisfying abstract Hölder conditions

• Grant number: 11/21300-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2012
• End date: March 30, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Valdir Antonio Menegatto
• Grantee: Thaís Jordão
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 12/25097-4 - Eigenvalues of integral operators generated by kernels satisfying a holder condition defined by spherical convolution, BE.EP.PD

Abstract

The project seeks decay rates for eigenvalues of integral operators generated by smooth kernels on the sphere. The intended analysis will be based on abstract Hölder assumptions on the generating kernel, taking into account existing decay rates with other Hölder conditions. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

JORDAO, T.; MENEGATTO, V. A.. ESTIMATES FOR FOURIER SUMS AND EIGENVALUES OF INTEGRAL OPERATORS VIA MULTIPLIERS ON THE SPHERE. Proceedings of the American Mathematical Society, v. 144, n. 1, p. 269-283, JAN 2016. (14/06209-1, 11/21300-7)

JORDAO, THAIS; SUN, XINGPING. GENERAL TYPES OF SPHERICAL MEAN OPERATORS AND K-FUNCTIONALS OF FRACTIONAL ORDERS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 14, n. 3, p. 743-757, MAY 2015. (12/25097-4, 11/21300-7)