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Jan 15, 2014 at 2:58 comment added fedja I'm not sure what exactly you are looking for here. If you restrict your function of several variables to the line connecting the origin with the point at which you want to know the value, you get a function of one variable in pretty much the same class and with all derivatives at the origin known, after which the usual recovery by an appropriate summation method can be made for that value. There is, of course, some trouble for non-convex natural domains but it is there even for the standard analytic continuation and is resolved the same way in both cases.
Oct 25, 2013 at 16:09 history edited O.R. CC BY-SA 3.0
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Oct 25, 2013 at 2:51 history edited Ricardo Andrade
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Oct 25, 2013 at 0:17 history edited O.R. CC BY-SA 3.0
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Oct 24, 2013 at 21:52 history edited O.R. CC BY-SA 3.0
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Oct 24, 2013 at 21:47 history asked O.R. CC BY-SA 3.0