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A radial analogue of Poisson’s summation formula with applications to powder diffraction and pinwheel patterns

  • Published:2007-04 Issue:5 Volume:57 Page:1331-1343
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Baake Michael,Frettlöh Dirk,Grimm Uwe

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference21 articles.

1. M. Baake, Mathematical Diffraction Theory in Euclidean Spaces, Lecture notes, EPFL, Lausanne, 2005

2. M. Baake, D. Frettlöh, U. Grimm, Combinatorial and spectral properties of pinwheel patterns (in preparation)

3. Multiple planar coincidences with N-fold symmetry;Baake;Z. Krist.,2006

4. Dynamical systems on translation bounded measures: pure point dynamical and diffraction spectra;Baake;Ergodic Theory Dynam. Syst.,2004

5. Geometric aspects of tilings and equivalence concepts;Baake,1995

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1. On the frequency module of the hull of a primitive substitution tiling;Acta Crystallographica Section A Foundations and Advances;2022-01-01

2. Aperiodic order and spherical diffraction, III: The shadow transform and the diffraction formula;Journal of Functional Analysis;2021-12

3. Aperiodic order and spherical diffraction, II: translation bounded measures on homogeneous spaces;Mathematische Zeitschrift;2021-07-31

4. Highly symmetric aperiodic structures -INVITED;EPJ Web of Conferences;2021

5. Primitive substitution tilings with rotational symmetries;Acta Crystallographica Section A Foundations and Advances;2018-07-01
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