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DTSTART:20181028T020000
TZOFFSETFROM:+0300
TZOFFSETTO:+0200
RDATE:20191027T020000
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DTSTART:20190329T020000
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UID:calendar.74633.field_date.0@mathematics.huji.ac.il
DTSTAMP:20200528T073811Z
CREATED:20190203T060009Z
DESCRIPTION:Date: \n\n2:30pm to 3:30pm\n\n\n\n\nSee also: Analysis\, Even
ts & Seminars\, SeminarsLocation: \n\nSprinzak 24\n\n\nTitle: Cwikel's bou
nd reloaded\nAbstract: There are a couple of proofs by now for the famous
Cwikel--Lieb--Rozenblum (CLR) bound\, which is a semiclassical bound on th
e number of bound states for a Schr\'odinger operator\, proven in the 1970
s.\nOf the rather distinct proofs by Cwikel\, Lieb\, and Rozenblum\, the o
ne by Lieb gives the best constant\, the one by Rozenblum does not seem to
yield any reasonable estimate for the constants\, and Cwikel's proof is s
aid to give a constant which is at least about 2 orders of magnitude off t
he truth. This situation did not change much during the last 40+ years. \n
It turns out that this common belief\, i.e\, Cwikel's approach yields bad
constants\, is not set in stone: We give a drastic simplification of Cwike
l's original approach which leads to an astonishingly good bound for the c
onstant in the CLR inequality. Our proof is also quite flexible and leads
to rather precise bounds for a large class of Schr\'odinger-type operators
with generalized kinetic energies. Moreover\, it highlights a natural bu
t overlooked connection of the CLR bound with bounds for maximal Fourier m
ultipliers from harmonic analysis.\n\n Export\n \n\n \nsubscribe iCal
DTSTART;TZID=Asia/Jerusalem:20190410T143000
DTEND;TZID=Asia/Jerusalem:20190410T153000
LAST-MODIFIED:20191104T000004Z
SUMMARY:Special Analysis Seminar: Dirk Hundertmark (Karlsruhe) 'Cwikel's bo
und reloaded'
URL;TYPE=URI:https://mathematics.huji.ac.il/event/special-analysis-seminar-
dirk-hundertmark-karlsruhe
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