By use of Fourier analysis techniques,we obtain some new properties of thealmost-periodic functions and extend the two-scale convergence method in the homogenization theory to the case of almost-periodic oscillation, this answers an open problem proposedby G.
利用Fourier分析的某些技巧,得到殆周期国数的一些新性质,在此基础上将均匀化理论中的双尺度收敛方法推广到殆周期振荡的情形。
In this paper, we introduced almost periodic function into characterization theory system of crystal structure, gained a similar series of result, on the basis of existing periodic function characterization, such as almost periodic Bloch wave, almost periodic reciprocal space, almost periodic Brillouin zone, almost periodic Fermi level, et al.
本文将殆周期函数引入晶体结构的描述理论体系,在原有的周期函数描述基础上,获得了殆周期布洛赫波、殆周期倒易空间、殆周期布里渊区、殆周期费米能级等相似的系列结果。