On the projection of functions invariant under the action of a crystallographic group

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Pinho, EM (Author) Other; Labouriau, IS (Author) FCUP

Journal

Title: Journal of Pure and Applied Algebra

Vol. 218

Pages: 37-51

ISSN: 0022-4049

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-008-FRY

DOI: 10.1016/j.jpaa.2013.04.010

Abstract (EN): We study functions defined in (n + 1)-dimensional domains that are invariant under the action of a crystallographic group. We give a complete description of the symmetries that remain after projection into an n-dimensional subspace and compare it to similar results for the restriction to a subspace. We use the Fourier expansion of invariant functions and the action of the crystallographic group on the space of Fourier coefficients. Intermediate results relate symmetry groups to the dual of the lattice of periods.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15