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MSRI's 25th Anniversary Celebration |
| January 26, 2008 to January 30, 2008 |
| Organized By: Alejandro Adem, Isadore Singer, and Robert Bryant. |
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| Return to Workshop Description |
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Whitney's extension problem and interpolation of functions
Tuesday January 29, 2008
01:30PM - 02:30PM
Speakers:
Charles Fefferman
Abstract:
Fix positive integers m,n. Let E be a subset of R^n, and let f be a given real-valued function on E. How can we tell whether f extends to a C^m function F on the whole R^n? If F exists, how small can we make its C^m norm? What can we say about the derivatives of F at a given point? Can we take F to depend linearly on f? What if we demand only that F agree approximately with f on E? If E is finite, can we compute a nearly optimal F from f? How many operations does it take? What if we are allowed to discard a few points from E?
Many of the results presented are joint work with Bo'az Klartag.
[Charlie Fefferman]
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