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Wavelets, Spline Interpolation and Lie Groups

  • Pierre Gilles Lemarie

Abstract

The purpose of this speech is to explain my construction of a so-called wavelet basis on stratified Lie groups [4]. I will first recall the classical notion of a wavelet basis, namely an orthonormal basis ψ∈,j,k (1 ≤ ∈ ≤ 2d - 1, jZ, kZ d) of L 2(Rd) generated from a finite number of (regular, oscillating and localized) functions xjje by dyadic dilations and translations= ψ∈, j, k(x)=2jd/2 ψ(2j,x—k).

Keywords

Heisenberg Group Wavelet Basis Riesz Basis Spline Surface Closed Linear Span 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Tokyo 1991

Authors and Affiliations

  • Pierre Gilles Lemarie
    • 1
  1. 1.MathématiquesUniversité de Paris-SudOrsay CedexFrance

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