4 papers
A note on measures whose diffraction is concentrated on a single sphere
Michael Baake, Jan MazáÄ, Emily R. Korfanty
Is there a translation-bounded measure whose diffraction is spherically symmetric and concentrated on a single sphere? This note constructively answers this question of Strungaru i…
Diffraction of plane waves, spherical waves, and beyond
Emily R. Korfanty, Jan MazáÄ
We review the diffraction theory for plane waves and establish its connection to the diffraction of Besicovitch almost periodic functions, extending the theory to an unbounded sett…
Delone sets associated with badly approximable triangles
Shigeki Akiyama, Emily R. Korfanty, Yanli Xu
We construct new Delone sets associated with badly approximable numbers which are expected to have rotationally invariant diffraction. We optimize the discrepancy of corresponding…
Circles in diffraction
Emily R. Korfanty, Nicolae Strungaru
Given a Fourier transformable measure in two dimensions, we find a formula for the intensity of its Fourier transform along circles. In particular, we obtain a formula for the diff…