Discovery Projects - Grant ID: DP160100941

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP160100941

Funding Status
Closed

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Funded Activity Summary

Harmonic analysis of rough oscillations. This project intends to explore new perspectives in harmonic analysis. Harmonic analysis is a set of mathematical techniques used in many branches of science and engineering to analyse complex signals (functions). It is highly effective in modelling phenomena such as the propagation of electromagnetic waves, but it is currently limited to propagation occurring in a simple-enough medium. An intense international research effort in harmonic analysis is currently under way to lift this limitation. This project is part of that effort, and aims to unite two of its fundamental directions of development: one focusing on the roughness of the medium; and one focusing on the interaction between highly oscillatory aspects of the function and the geometry of the medium.

Funded Activity Details

Start Date: 25-05-2016

End Date: 31-12-2021

Funding Scheme: Discovery Projects

Funding Amount: $445,118.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Lie Groups, Harmonic and Fourier Analysis | Operator Algebras and Functional Analysis | Pure Mathematics | Partial Differential Equations

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Lie Groups, Harmonic and Fourier Analysis | Operator Algebras and Functional Analysis | Partial Differential Equations | Pure Mathematics

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