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arXiv 1306.5658math.FA
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非调和锥是$\mathbb C^n$上扭球平均的内射集

Non-harmonic cones are sets of injectivity for the twisted spherical means on $\mathbb C^n$

R. K. Srivastava

摘要:

本文证明了只要复锥不完全落在$\mathbb C^n.$上任何二阶齐次调和多项式的水平曲面上,则复锥是$\mathbb C^n$上所有连续函数类的扭球平均的内射集。

英文摘要:

In this article, we prove that a complex cone is a set of injectivity for the twisted spherical means for the class of all continuous functions on $\mathbb C^n$ as long as it does not completely lay on the level surface of any bi-graded homogeneous harmonic polynomial on $\mathbb C^n.$ Further, we produce examples of such level surfaces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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