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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

On generalized Nyman-Beurling criteria

Sébastien Darses
I2M, Aix-Marseille Université
/user/sebastien.darses/

Date(s) : 25/10/2019   iCal
11h00 - 12h00

One of the innocent reformulations of terrifying conjecture RH is the Nyman-Beurling-Baez-Duarte criterion : the indicator function of (0,1) can be linearly approximated in a L^2 space by dilations of the fractional part function.
We will discuss the interest of randomizing these dilations, which generates entirely new structures and criteria, and answers an open question raised by Baez-Duarte in 2005. I will eventually tell you a little story. Joint work with Erwan Hillion.

https://www.researchgate.net/scientific-contributions/12725338_Sebastien_Darses

 

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