Year: 2026
Type: preprint
Abstract: We present a simple argument providing a very general Bombieri--Taylor-type result to compute Bragg peaks in diffraction theory as limits. At its abstract core the argument relies on considering the Eberlein convolution as an inner product. This inner product gives an abstract version of a Cauchy--Schwarz type inequality which implies the Bombieri--Taylor-type result as well as generalizations.
Source: arXiv (Cornell University)
Authors: Lenz, Daniel, Strungaru, Nicolae
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1520663364, G388243137
OpenAlex ID: W7213597641