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SUMMARY:On the Wiener-Hopf technique and its applications in science and e
 ngineering: Lecture 2 - David Abrahams (Isaac Newton Institute)
DTSTART:20190806T093000Z
DTEND:20190806T104500Z
UID:TALK128239@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>It is a little nearly 90 years since two of the most imp
 ortant mathematicians of the 20th century collaborated on finding the exac
 t solution of a particular equation with semi-infinite convolution type in
 tegral operator. The elegance and analytical sophistication of the method\
 , now called the Wiener-Hopf technique\, impress all who use it. Its appli
 cability to almost all branches of engineering\, mathematical physics and 
 applied mathematics is borne 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 either at an ea
 rly stage of their career or else unfamiliar with particular aspects of th
 e subject. Their aim is to demonstrate the beauty of the topic and its wid
 e range of applications\, and will be delivered in a traditional applied m
 athematical style. The lectures will not try to offer a comprehensive over
 view of the literature but will instead focus on specific topics that have
  been of interest over the years to the speaker.&nbsp\;   <span>&nbsp\;<br
 ></span></span><br>The first lecture shall offer a subjective review of th
 e subject\, introducing the notation to be employed in later lectures\, an
 d indicating a sample of the enormous range of applications that have been
  found for the technique. The second lecture will focus on exact and appro
 ximate solution methods for scalar and vector Wiener-Hopf equations\, and 
 indicate the similarities and differences of the various approaches used. 
 The final lecture shall continue discussion of approximate approaches\, co
 mbining these with one or more specific applications of current interest t
 o the speaker.  <br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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