A Note on the M * -limiting Convolution Body

نویسنده

  • ANTONIS TSOLOMITIS
چکیده

We introduce the mixed convolution bodies of two convex symmetric bodies. We prove that if the boundary of a body K is smooth enough then as δ tends to 1 the δ-M∗-convolution body of K with itself tends to a multiple of the Euclidean ball after proper normalization. On the other hand we show that the δ-M∗-convolution body of the n-dimensional cube is homothetic to the unit ball of `1 .

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تاریخ انتشار 2004