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UID:20260912T051329EDT-6354pBDmu4@132.216.98.100
DTSTAMP:20260912T091329Z
DESCRIPTION:Title: Clumps\, and spectral clumps\, for functions on the real
  line\n\nAbstract: In Fourier analysis\, there is variety of statements wh
 ich postulate that a function f and its Fourier transform \widehat{f} cann
 ot simultaneously be too small\, or that one of them has to be large if th
 e other is small. What small or large means depends on context. The most f
 amous such statement surely is the Fourier analytic version of Heisenberg'
 s quantum mechanical uncertainty principle\, but there is an abundance of 
 other interpretations. In my talk\, I want to review some other manifestat
 ions of the uncertainty principle\, including theorems of Benedicks and Vo
 lberg\, and I want to contribute a new interpretation which I recently stu
 mbled upon. In my context\, smallness will be interpreted in terms of a on
 e-sided rapid decay condition on a function f living on the real line \mat
 hbb{R}\, and largeness will be interpreted in terms of the existence of a{
 spectral clump for f: an interval on which \widehat{f} is large enough to 
 have an integrable logarithm. If time permits\, I will discuss how this re
 sult finds applications in the theories of subnormal operators and de Bran
 ges-Rovnyak spaces.\n\n \n\nWhere: Laval\, Alexandre-Vachon\, VCH-3840 and
  by Zoom (see link below)\n\nJoin Zoom Meeting\n\nhttps://ulaval.zoom.us/j
 /68099684137?pwd=L2hPdVprdUd3VHZBYkc1aTJFWU13dz09\n\nMeeting ID: 680 9968 
 4137\n\nPasscode: 025959\n
DTSTART:20240301T190000Z
DTEND:20240301T200000Z
SUMMARY:Bartosz Malman (Mälardalen University)
URL:https://www.mcgill.ca/mathstat/channels/event/bartosz-malman-malardalen
 -university-355699
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