中文摘要：

利用球面调和函数和Hamburger矩方法,证明了,R~n中一个包含半径为δ的球的原点对称凸体,能被其在此球附近的所有点的极体的体积所唯一确定.

英文摘要：

Using tools of spherical harmonics and Hamburger＇s moment, we proved that an origin-symmetric convex body containing a sphere of radius δ in its interior is determined in Rn by the volume of its polar bodies with respect to all the points near the sphere.