A restriction theorem for the product Heisenberg group  

作　　者：张震球 

机构地区：[1]Department of Mathematics, Qingdao University, Qingdao 266071, China

出　　处：《Chinese Science Bulletin》1995年第19期1589-1591,共3页

摘　　要：In this note, we investigate the product Heisenberg group Hⁿ, where Hⁿ=H₁×…×H₁ is the Cartesian product of the 3-dimensional Heisenberg group H₁. Let （z, t）∈Hⁿ, （ζ, s）∈Hⁿ with z, ζ∈Cⁿ, s, t∈Rⁿ. The multiplication is given by （z, t）（ζ, s）=（z+ζ, τ）, where τ_j=t_j+s_j-1/2 Imz_j,1≤j≤n. Sometimes we shall also use coordinates （x, y, t）∈R²n×Rⁿ,

关 键 词：PRODUCT HEISENBERG group Fourier transform TWISTED convolution. 

分 类 号：O174[理学—数学]