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On the Lu Qi-Keng problem for slice monogenic functions

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In this note, it is proven that the slice Bergman kernels for some axially symmetric slice domains are zero-free by a simple method.

Abstract

In this note, it is proven that the slice Bergman kernels for some axially symmetric slice domains are zero-free by a simple method.

참고문헌 (19)

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  15. Q. Lu, "On Kahler manifolds with constant curvature", Chinese Math. Acta, 8, pp.283~298 (1966)
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  19. R. F. Rinehart, "Elements of a theory of intrinsic functions on algebras", Duke Math. J, 27, pp.1~19 (1960)[DOI]

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