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Composite Dilations and Crystallographic Groups

  • Kathy D. Merrill
Chapter
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

This chapter explores GMRAs in the familiar Hilbert space of \(L^2(\mathbb R^N)\), but with a non-abelian group Γ of “translations” that properly contains the integer lattice. Guo, Labate, Lim, Weiss and Wilson’s theory of composite dilations is included, as well as GMRAs and wavelets for the crystallographic groups.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Kathy D. Merrill
    • 1
  1. 1.Department of MathematicsThe Colorado CollegeColorado SpringsUSA

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