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2009

Higher order Fourier analysis as an algebraic theory II

Szegedy, Balazs

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Our approach to higher order Fourier analysis is to study the ultra product of finite (or compact) Abelian groups on which a new algebraic theory appears.

This theory has consequences on finite (or compact) groups usually in the form of approximative statements.
The present paper is the second part of a paper in which higher order characters and decompositions were introduced.
We generalize the concept of the Pontrjagin dual group and introduce higher order versions of it.

Higher order Fourier analysis as an algebraic theory II · Around

Built on

T. Gowers, Fourier analysis and Szemerédi’s theorem
1998
Earlier work this paper cites.
T. Gowers, A new proof of Szemerédi’s theorem
2001
Earlier work this paper cites.

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