37 citations · 122 across the 27 of their papers we have counts for
8 papers · 1 filter
On the small measure expansion phenomenon in connected noncompact nonabelian groups
Jinpeng An, Yifan Jing, Chieu-Minh Tran +1
Suppose is a connected noncompact locally compact group, are nonempty and compact subsets of , is a left Haar measure on . Assuming that is unimodular, and…
Nonabelian cohomology of compact Lie groups
Jinpeng An, Ming Liu, Zhengdong Wang
Given a Lie group with finitely many components and a compact Lie group A which acts on by automorphisms, we prove that there always exists an A-invariant maximal compact s…
Holomorphic harmonic analysis on complex reductive groups
Jinpeng An, Zhengdong Wang, Min Qian
We define the holomorphic Fourier transform of holomorphic functions on complex reductive groups, prove some properties like the Fourier inversion formula, and give some applicatio…
An implicit function theorem for Banach spaces and some applications
Jinpeng An, Karl-Hermann Neeb
We prove a generalized implicit function theorem for Banach spaces, without the usual assumption that the subspaces involved being complemented. Then we apply it to the problem of…
Topological properties of Ad-semisimple conjugacy classes in Lie groups
Jinpeng An
We prove that Ad-semisimple conjugacy classes in a connected Lie group are closed embedded submanifolds of . We also prove that if is a homomorphism of connected…
Twisted Weyl groups of Lie groups and nonabelian cohomology
Jinpeng An
For a cyclic group and a connected Lie group with an -module structure (with the additional conditions that is compact and the -module structure on is 1-semis…