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Transversal Multilinear Harmonic Analysis

Objective

This proposal consists of two intimately related programmes. The aim of Programme 1 is to make major contributions to the celebrated restriction theory for the Fourier transform and combinatorial problems of Kakeya-type using emerging multilinear techniques. The aim of Programme 2 is to develop a multilinear perspective on a much broader family of curvature-related problems in harmonic analysis, including important classes of Radon-like transforms that arise naturally in the theory of dispersive partial differential equations.

The specific objectives represent major challenges at the emerging frontiers of harmonic analysis with a variety of disciplines, including geometric analysis (encompassing heat-flow methods and convex geometry), affine geometry and algebraic topology.

Call for proposal

ERC-2012-StG_20111012
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Host institution

THE UNIVERSITY OF BIRMINGHAM
EU contribution
€ 1 042 293,00
Address
Edgbaston
B15 2TT Birmingham
United Kingdom

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Region
West Midlands (England) West Midlands Birmingham
Activity type
Higher or Secondary Education Establishments
Principal investigator
Jonathan Bennett (Dr.)
Administrative Contact
Xavier Rodde (Mr.)
Links
Total cost
No data

Beneficiaries (1)