BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251008T145145EDT-3905fhN8sO@132.216.98.100 DTSTAMP:20251008T185145Z 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:/mathstat/channels/event/bartosz-malman-malardalen -university-355699 END:VEVENT END:VCALENDAR