Generalized sign Fourier uncertainty
نویسندگان
چکیده
We consider a generalized version of the sign uncertainty principle for Fourier transform, first proposed by Bourgain, Clozel and Kahane in 2010 revisited Cohn Goncalves 2019. In our setup, signs function its transform resonate with generic given $P$ outside ball. One essentially wants to know if how soon this resonance can happen, when facing suitable competing weighted integral condition. The original problem corresponds case $P \equiv 1$. Surprisingly, even such rough we are able identify sharp constants some cases.
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ژورنال
عنوان ژورنال: Annali della Scuola normale superiore di Pisa. Classe di scienze
سال: 2022
ISSN: ['0391-173X', '2036-2145']
DOI: https://doi.org/10.2422/2036-2145.202105_026