Determination of a convex body by the volume of its polar bodies

WU Li-rong

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Jan. 2013

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WU Li-rong. Determination of a convex body by the volume of its polar bodies[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 17-23.

Citation:

WU Li-rong. Determination of a convex body by the volume of its polar bodies[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 17-23.

WU Li-rong. Determination of a convex body by the volume of its polar bodies[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 17-23.

Citation:

WU Li-rong. Determination of a convex body by the volume of its polar bodies[J]. Journal of East China Normal University (Natural Sciences), 2013, (1): 17-23.

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Determination of a convex body by the volume of its polar bodies

WU Li-rong

1.
Zhejiang Industry Polytechnic College, Shaoxing Zhejiang 312000, China

Received Date: 2012-03-01
Rev Recd Date: 2012-06-01
Publish Date: 2013-01-25

Abstract

Abstract

Using tools of spherical harmonics and Hamburger's moment, we proved that an origin-symmetric convex body containing a sphere of radius $\delta$ in its interior is determined in ${\mathbb{R}}^{n}$ by the volume of its polar bodies with respect to all the points near the sphere.
- convex body,
- volume,
- polar body

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References(1)

References

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