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arxiv: 1208.3834 · v3 · pith:2UYU534Unew · submitted 2012-08-19 · 🧮 math.FA

Exponential bases on two dimensional trapezoids

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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.

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