Mild distributions in diffraction
A talk in the Other series by
Christoph Richard
| Abstract: | Mathematical diffraction theory has been developed since about 1995. The influential approach by Hof relied on tempered distributions in Euclidean space. Nowadays often the Fourier theory by Argabright and Gil de Lamadrid is used, which applies to appropriate measures on locally compact abelian groups. In this talk we discuss how Wiener amalgam spaces and mild distributions can be used for diffraction analysis. For diffraction from translation bounded measures, this unifies and extends the former two approaches. We treat weighted versions of Meyer's model sets as examples. This talk is based in joint work in progress together with H-G Feichtinger, C Schumacher and N Strungaru. Within the CRC this talk is associated to the project(s): A6 |