Exponential bases on two dimensional trapezoids

Abstract

We discuss existence and stability of Riesz bases of exponential type of L^2(T) for special domains T called trapezoids. We construct exponential bases on L^2(T) when T is a finite union of rectangles with the same height. We also generalize our main theorems in dimension d\ge 3.

References in corpus (2)

• Riesz basis of exponentials for a union of cubes in R^{d}
• Combining Riesz bases