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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the Wiener-Hopf technique and its applications
in science and engineering: Lecture 2 - David Abra
hams (Isaac Newton Institute)
DTSTART;TZID=Europe/London:20190806T103000
DTEND;TZID=Europe/London:20190806T114500
UID:TALK128239AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/128239
DESCRIPTION:It is a little nearly 90 years since two of
the most important mathematicians of the 20th cent
ury collaborated on finding the exact solution of
a particular equation with semi-infinite convoluti
on type integral operator. The elegance and analyt
ical sophistication of the method\, now called the
Wiener-Hopf technique\, impress all who use it. I
ts applicability to almost all branches of enginee
ring\, mathematical physics and applied mathematic
s is borne out by the many thousands of papers pub
lished on the subject since its conception. This
series of three lectures will be informal in natu
re and directed at researchers who are either at a
n early stage of their career or else unfamiliar w
ith particular aspects of the subject. Their aim i
s to demonstrate the beauty of the topic and its w
ide range of applications\, and will be delivered
in a traditional applied mathematical style. The l
ectures will not try to offer a comprehensive over
view of the literature but will instead focus on s
pecific topics that have been of interest over the
years to the speaker. \; \;

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The first lecture shall offer a s
ubjective review of the subject\, introducing the
notation to be employed in later lectures\, and in
dicating a sample of the enormous range of applica
tions that have been found for the technique. The
second lecture will focus on exact and approximate
solution methods for scalar and vector Wiener-Hop
f equations\, and indicate the similarities and di
fferences of the various approaches used. The fina
l lecture shall continue discussion of approximate
approaches\, combining these with one or more spe
cific applications of current interest to the spea
ker.

LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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