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SUMMARY:Massoud Amini (Tarbiat Modares University)
DTSTART:20220306T123000Z
DTEND:20220306T133000Z
DTSTAMP:20260423T021351Z
UID:IMS1400/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS1400/1/">
 A Brief History of Functional Analysis</a>\nby Massoud Amini (Tarbiat Moda
 res University) as part of IMS International Webinar Series\n\n\nAbstract\
 nA Brief History of Functional Analysis\n\nMassoud Amini\n\nTarbiat Modare
 s University\n\n \n\n \n\n \n\nFourier in his celebrated book\, The Analyt
 ic 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 form of 
 an integral equation. More generally\, Liouville\, in his research on 2nd 
 order linear differential equations (1837) reduced the problem to certain 
 integral equations.\n\n \n\nThe first rigorous treatment of the general th
 eory of integral equations was given by Ivar Fredholm (1900- 1903). Hilber
 t was attracted to the new theory and published a series of five papers (1
 904-1906). 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 metric spa
 ces (1906)\, Riesz papers on classical Banach spaces (1910-1911)\, Banach 
 thesis on normed spaces (1922)\, Hahn and Banach papers on duality (1927 a
 nd 1929\, independent). These were complemented by the pioneering books of
    Fréchet (1928) and Banach (1932).\n\n \n\nWe give a glimpse of the dev
 elopment of Functional Analysis by reminding the turning points of each of
  the above basic steps\, as well as the later developments.\n
LOCATION:https://researchseminars.org/talk/IMS1400/1/
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