Exponential frames for unbounded sets

Abstract

For every set $S$ of finite measure in $\mathbb{R}$ we construct a discrete set of real frequencies $\Lambda$ such that the exponential system $\{\exp (i\lambda t),\lambda \in \Lambda \}$ is a frame in $L^2(S)$

References in corpus (1)

• Interlacing Families II: Mixed Characteristic Polynomials and the Kadison-Singer Problem

Cited by in corpus (5)

• Self-affine spectral measures and frame spectral measures on ${\mathbb{R}}^d$
• Fourier bases and Fourier frames on self-affine measures
• Exponential bases on multi-rectangles in ${\mathbb{R}}^d$
• Non-spectral fractal measures with Fourier frames
• Exponential bases on triangular domains