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8 votes
1 answer
245 views

Spectral decomposition of $\Gamma\backslash X$

Let $X$ be a reasonable manifold of non-positive curvature (could be $\mathbb{H}^n$, symmetric or locally symmetric space, homogeneous Hadamard manifold etc.), and let $\Gamma$ be a reasonable group ...
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6 votes
2 answers
390 views

Another reference for higher order Fourier analysis

I am trying to read Tao's Higher order Fourier analysis but I would be very happy to find another book on the subject. I would like to learn something about the Gowers norm and about Roth's theorem (...
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