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SUMMARY:Crazy Sets of Rectangles and (Non)Convergence Theorems in Analysis
  - Michael Bateman (DPMMS)
DTSTART:20131023T150000Z
DTEND:20131023T160000Z
UID:TALK46766@talks.cam.ac.uk
CONTACT:Marcus Webb
DESCRIPTION:When you write the Fourier series of your favorite function\, 
 does the series actually converge to your function? If you average a funct
 ion f on smaller and smaller balls centered at a point x\, does these aver
 ages converge to f(x)? How about if we average over rectangles instead? If
  a collection of rectangles has the area of their union being bounded\, an
 d we double the length of each rectangle\, what is the area of the new uni
 on? Can it be unbounded? My talk will be about the connections between the
 se questions. 
LOCATION:MR14\, Centre for Mathematical Sciences
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