Lattice sub-tilings and frames in LCA groups

Given a lattice $\Lambda$ in a locally compact abelian group $G$ and a measurable subset $\Omega$ with finite and positive measure, then the set of characters associated to the dual lattice form a frame for $L^2(\Omega)$ if and only if the distinct translates by $\Lambda$ of $\Omega$ have almost empty intersections. Some consequences of this results are the well-known Fuglede theorem for lattices, as well as a simple characterization for frames of modulates.Comment: note: results include as special case those of arXiv:1508.0420

Toward a Transnational Perspective on Seattle’s Japantown: Nagai Kafū’s American Stories

The aim of this paper is to provide a short analysis of the literary representation of the Japantown that evolved in Seattle toward the end of the nineteenth and the beginning of the twentieth centuries, as portrayed by Japanese writer Nagai Kafū in Amerika monogatari (“American Stories”), a collection of short stories and autobiographical sketches based on the author’s experience in the United States, written in the first years of the twentieth century. The author's description and narration of the buildings, life, and people of Japantown provide a detailed idea of the socio-historical realities present in the area of the United States where the first Japanese immigrants arrived and settled