5 papers
Asymptotic approximations of Good's special functions arising in atomic physics
David Békollè, Aline Bonami, Moïse Kwato Njock
We study various asymptotic approximations of Good's special functions arising in atomic physics. These special functions are situated beyond Anger's functions to which they are cl…
Bounds on moments of weighted sums of finite Riesz products
Aline Bonami, Rafał Latała, Piotr Nayar +1
Let be a lacunary sequence of integers, such that . We are interested in linear combinations of the sequence of finite Riesz products $\prod_{j=1}^N(1+\cos…
Equality cases for the uncertainty principle in finite Abelian groups
Aline Bonami, Saifallah Ghobber
We consider the families of finite Abelian groups $\ZZ/p\ZZ\times \ZZ/p\ZZ$, $\ZZ/p^2\ZZ$ and $\ZZ/p\ZZ\times \ZZ/q\ZZ$ for two distinct prime numbers. For the two first fami…
Integral Concentration of idempotent trigonometric polynomials with gaps
Aline Bonami, Szilárd Gy. Révész
We prove that for all p>1/2 there exists a constant such that, for any symmetric measurable set of positive measure $E\subset \TT$ and for any , there is an idempote…
Hermite functions and uncertainty principles for the Fourier and the windowed Fourier transforms
Aline Bonami, Bruno Demange, Philippe Jaming
We extend an uncertainty principle due to Beurling into a characterization of Hermite functions. More precisely, all functions on which may be written as $P(x)\exp (Ax,x…