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Holomorphic Harmonic Analysis on Complex Reductive Groups by An, Jinpeng; Wang, Zhengdong; Qian, Min is a scholarly article available to read on EtoBox.

What is Holomorphic Harmonic Analysis on Complex Reductive Groups about?

We define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applications. The definition of the holomorphic Fourier transform makes use of the notion of $K$-admissible measures. We prove that $K$-admissible measures are abundant, and the definition of holomorphic Fourier transform is independent of the choice of $K$-admissible measures.

Author

An, Jinpeng; Wang, Zhengdong; Qian, Min

Published

2007

Language

EN