We prove the existence of Riesz bases of exponentials of L2(Ω), provided that Ω ⊂ ℝd is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic ...

We provide a necessary and sufficient condition to ensure that a multi-tile Ω ⊂ Rd of positive measure (but not necessarily bounded) admits a structured Riesz basis of exponentials for L2(Ω). New examples are given and ...

We consider translates of functions in L 2 (Rd ) along an irregular set of points, that is, {φ(· − λk )}k∈Z—where φ is a bandlimited function. Introducing a notion of pseudo-Gramian function for the irregular case, we ...

We prove the existence of sampling sets and interpolation sets near the critical density, in Paley Wiener spaces of a locally compact abelian (LCA) group G. This solves a problem left by Gröchenig, Kutyniok, and Seip in ...

In this note, we investigate the existence of frames of exponentials for L2(Ω) in the setting of LCA groups. Our main result shows that sub-multitiling properties of Ω⊂Gˆ with respect to a uniform lattice Γ of Gˆ guarantee ...