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Inverse Additive Problems for Minkowski Sumsets II
Brunn-Minkowski convex bodies sumset convex functions
2011/2/21
The Brunn-Minkowski Theorem asserts that μd(A + B)1/d μd(A)1/d + μd(B)1/d for convex bodies A, B Rd, where μd denotes the d-dimensional Lebesgue measure.
Exponential instability in the inverse scattering problem on the energy interval
Exponential instability inverse energy interval
2011/2/28
We consider the inverse scattering problem on the energy interval in three dimensions.We are focused on stability and instability questions for this problem. In particular,we prove an exponential inst...