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SUMMARY:On the Wiener-Hopf technique and its applications in science and e
 ngineering: Lecture 1 - David Abrahams (Isaac Newton Institute)
DTSTART:20190806T080000Z
DTEND:20190806T091500Z
UID:TALK127981@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:It is a little nearly 90 years since two of the most important
  mathematicians of the 20th century collaborated on finding the exact solu
 tion of a particular equation with semi-infinite convolution type integral
  operator. The elegance and analytical sophistication of the method\, now 
 called the Wiener-Hopf technique\, impress all who use it. Its applicabili
 ty to almost all branches of engineering\, mathematical physics and applie
 d mathematics is borne out by the many thousands of papers published on th
 e subject since its conception.&nbsp\;<br><span>This series of three lectu
 res will be informal in nature and directed at researchers who are either 
 at an early stage of their career or else unfamiliar with particular aspec
 ts of the subject. Their aim is to demonstrate the beauty of the topic and
  its wide range of applications\, and will be delivered in a traditional a
 pplied mathematical style. The lectures will not try to offer a comprehens
 ive overview of the literature but will instead focus on specific topics t
 hat have been of interest over the years to the speaker.&nbsp\;   <span>&n
 bsp\;<br></span></span><br>The first lecture shall offer a subjective revi
 ew of the subject\, introducing the notation to be employed in later lectu
 res\, and indicating a sample of the enormous range of applications that h
 ave been found for the technique. The second lecture will focus on exact a
 nd approximate solution methods for scalar and vector Wiener-Hopf equation
 s\, and indicate the similarities and differences of the various approache
 s used. The final lecture shall continue discussion of approximate approac
 hes\, combining these with one or more specific applications of current in
 terest to the speaker.  <br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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