Discovery Projects - Grant ID: DP0344688

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0344688

Funding Status
Closed

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Funded Activity Summary

Boundedness of Singular integral operators and applications to Bochner-Riesz summability, Riesz transforms, and Hardy spaces. We aim to develop harmonic analysis methods to study singular integral operators and function spaces associated to these operators. We propose to study the long standing problem of convergence of Bochner-Riesz means in Fourier analysis, and investigate differential operators with non-smooth coefficients acting on rough domains, or acting on general spaces like manifolds. Expected outcomes are new techniques in harmonic analysis to be developed, with applications being solutions to a number of open problems in the theories of harmonic analysis, partial differential equations and function spaces.

Funded Activity Details

Start Date: 01-01-2003

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $185,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Harmonic And Fourier Analysis | Differential, Difference And Integral Equations |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Differential, Difference And Integral Equations | Harmonic And Fourier Analysis | Mathematical sciences | Pure Mathematics

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