17/06/01 22:45:23.46 p8p+qXsU.net
>>469
>工学者からの質問をきっかけとして、積分幾何の問題に取り組み、領域の変形の立場で、Pompeiu予想(1900年代初頭より未解決の問題)が正しいことを小林が証明したとき、小林はまだ修士の学生であった。
下記に、小林 俊行の名前が出てこない・・、はて?
URLリンク(en.wikipedia.org)
Pompeiu problem
(抜粋)
In mathematics, the Pompeiu problem is a conjecture in integral geometry, named for Dimitrie Pompeiu, who posed the problem in 1929, as follows.
Suppose f is a nonzero continuous function defined on a Euclidean space, and K is a simply connected Lipschitz domain, so that the integral of f vanishes on every congruent copy of K. Then the domain is a ball.
A special case is Schiffer's conjecture.
URLリンク(www.encyclopediaofmath.org)
Pompeiu problem. Carlos A. Berenstein (originator), Encyclopedia of Mathematics. This page was last modified on 7 February 2011,