Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

I have been looking for an analog of the Fourier transform for groupoids coming from tilings (which are generally principal and r-discrete), however all the generalizations I have found assume that the groupoid:

  1. is compact (http://arxiv.org/pdf/math/0308260.pdf).

  2. is a group bundle (http://www.ams.org/journals/tran/1996-348-09/S0002-9947-96-01610-8/S0002-9947-96-01610-8.pdf) pg 3632

  3. is decomposable (http://cdn.intechopen.com/pdfs/15159/InTech-Fourier_transform_on_group_like_structures_and_applications.pdf) section 7.

Are there any versions of the Fourier transform for a principal r-discrete groupoid?

share|improve this question
No ideas? Even just a comment that this has not been studied would be helpful. –  mkreisel Jul 28 '13 at 18:41

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.