BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Massoud Amini (Tarbiat Modares University)
DTSTART:20220306T123000Z
DTEND:20220306T133000Z
DTSTAMP:20260404T111135Z
UID:IMS1400/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/IMS14
 00/1/">A Brief History of Functional Analysis</a>\nby Massoud Amini (Tarbi
 at Modares University) as part of IMS International Webinar Series\n\n\nAb
 stract\nA Brief History of Functional Analysis\n\nMassoud Amini\n\nTarbiat
  Modares University\n\n \n\n \n\n \n\nFourier in his celebrated book\, The
  Analytic Theory of Heat (1822) discussed the first example of what is now
  known as the problem of (inverse) Fourier transform. About the same time\
 , Niels Abel (1823) offered a solution to the tautochrone problem in the f
 orm of an integral equation. More generally\, Liouville\, in his research 
 on 2nd order linear differential equations (1837) reduced the problem to c
 ertain integral equations.\n\n \n\nThe first rigorous treatment of the gen
 eral theory of integral equations was given by Ivar Fredholm (1900- 1903).
  Hilbert was attracted to the new theory and published a series of five pa
 pers (1904-1906). Along these\, the history of Functional Analysis (a name
  coined by Paul Lévy in 1922) is marked by Lebesgue thesis on integration
  (1902)\, Hilbert paper on spectral theory (1906)\, Fréchet thesis on met
 ric spaces (1906)\, Riesz papers on classical Banach spaces (1910-1911)\, 
 Banach thesis on normed spaces (1922)\, Hahn and Banach papers on duality 
 (1927 and 1929\, independent). These were complemented by the pioneering b
 ooks of   Fréchet (1928) and Banach (1932).\n\n \n\nWe give a glimpse of 
 the development of Functional Analysis by reminding the turning points of 
 each of the above basic steps\, as well as the later developments.\n
LOCATION:https://stable.researchseminars.org/talk/IMS1400/1/
END:VEVENT
END:VCALENDAR