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arXiv 1708.03388math.CVmath-phmath.DGmath.MPmath.RT
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Jordan-Kepler流形上的再生核函数与渐近展开

Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

Miroslav Engliš, Harald Upmeier

摘要:

本文研究了广义Kepler流形的复几何,引入了由径向测度定义的全纯函数的希尔伯特空间,并找到了相应的Kähler势的再生核的完全渐近展开,无论是在平坦的还是有界的情形.

英文摘要:

We study the complex geometry of generalized Kepler manifolds, defined in Jordan theoretic terms, introduce Hilbert spaces of holomorphic functions defined by radial measures, and find the complete asymptotic expansion of the corresponding reproducing kernels for Kähler potentials, both in the flat and bounded setting.

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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