Eigenvalues of integral operators generated by kernels satisfying a holder condition defined by spherical convolution

• Grant number: 12/25097-4
• Support type: Scholarships abroad - Research Internship - Post-doctor
• Effective date (Start): April 01, 2013
• Effective date (End): September 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal researcher: Valdir Antonio Menegatto
• Grantee: Thaís Jordão
• Supervisor abroad: Thais Jordão
• Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Research place: Missouri State University (MSU), United States
• Associated to the scholarship: 11/21300-7 - Eigenvalues of integral operators generated by kernels satisfying abstract Hölder conditions, BP.PD

Abstract

We intend to obtain sharp decay rates for eingenvalues of integral operators on the sphere when the generating kernel is positive definite and satisfies a Holder condition based on a family of operators defined by convolution with measures. (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, 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)