讨论一个Gabor框架是否包含一个Riesz基,利用Avdonin定理,证明了当函数满足suppg [0,1]时,Gabor框架(g,1,6)包含一个L^2(R)的Riesz基,这里O〈6〈1.
The authors discussed whether a Gabor frame contained a Riesz base. It proved, by Avdonin Theorem, that if the function g satisfies suppg [0,1], then the Gabor frames (g, 1 ,b) contains a Riesz base for L^2 (R) where 0〈b〈1.