3 papers
math.GR2025
On the rate of exponential decay of coefficients on homogeneous spaces
Yves Benoist, Siwei Liang
For any homogeneous space of a noncompact semisimple Lie group , we define an exponent with multiple interpretations from representation theory and group theory. As an applicati…
math.NT2024
Fourier transform in cyclic groups
Yves Benoist
On a cyclic group of prime order, the non-trivial Dirichlet characters together with their Fourier transforms have constant modulus outside 0 and vanish at 0. Answering a question…
math.NT2024
Convolution and square in abelian groups III
Yves Benoist
In the first paper we proved that on the cyclic groups of odd order d, there exist non zero functions whose convolution square f*f(2t) is proportional to their square f(t)^2 when t…