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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the Wiener-Hopf technique and its applications
in science and engineering: Lecture 1 - David Abra
hams (Isaac Newton Institute)
DTSTART;TZID=Europe/London:20190806T090000
DTEND;TZID=Europe/London:20190806T101500
UID:TALK127978AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/127978
DESCRIPTION:It is a little nearly 90 years since two of the mo
st important mathematicians of the 20th century co
llaborated on finding the exact solution of a part
icular equation with semi-infinite convolution typ
e integral operator. The elegance and analytical s
ophistication of the method\, now called the Wiene
r-Hopf technique\, impress all who use it. Its app
licability to almost all branches of engineering\,
mathematical physics and applied mathematics is b
orne out by the many thousands of papers published
on the subject since its conception. \;

~~This series of three lectures will be informal
in nature and directed at researchers who are eit
her at an early stage of their career or else unfa
miliar with particular aspects of the subject. The
ir aim is to demonstrate the beauty of the topic a
nd its wide range of applications\, and will be de
livered in a traditional applied mathematical styl
e. The lectures will not try to offer a comprehens
ive overview of the literature but will instead fo
cus on specific topics that have been of interest
over the years to the speaker. \; &nbs
p\;~~

The first lecture shall o
ffer a subjective review of the subject\, introduc
ing the notation to be employed in later lectures\
, and indicating a sample of the enormous range of
applications that have been found for the techniq
ue. The second lecture will focus on exact and app
roximate solution methods for scalar and vector Wi
ener-Hopf equations\, and indicate the similaritie
s and differences of the various approaches used.
The final lecture shall continue discussion of app
roximate approaches\, combining these with one or
more specific applications of current interest to
the speaker.

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