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SUMMARY:On the Fourier extension of non-periodic functions - Dr Daan Huybr
 echs (University of Cambridge)
DTSTART:20090605T130000Z
DTEND:20090605T140000Z
UID:TALK18670@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:Fourier series exhibit rapid converge for (smooth and) periodi
 c functions\, but this is not the case for non-periodic functions. In this
  talk we analyze an interesting approach to eliminate the Gibbs phenomenon
 . Our approach leads to exponentially accurate Fourier series for non-peri
 odic functions with pointwise convergence everywhere\, including at the bo
 undary. The analysis shows the path of generalization towards accurate Fou
 rier series for multivariate functions defined on circles\, triangles and 
 higher-dimensional simplices.
LOCATION:MR12\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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