Journal of Fourier Analysis and Applications

, Volume 5, Issue 6, pp 563–573

Generalized multi-resolution analyses and a construction procedure for all wavelet sets in ℝn

  • Lawrence W. Baggett
  • Herbert A. Medina
  • Kathy D. Merrill


An abstract formulation of generalized multiresolution analyses is presented, and those GMRAs that come from multiwavelets are characterized. As an application of this abstract formulation, a constructive procedure is developed, which produces all wavelet sets innrelative to an integral expansive matrix.

Math subject classifications

Primary 46N99 47N40 47N99 secondary 47D25 47C05 47D15 46B28 

Keywords and phrases

wavelet wavelet set multi-resolution analysis unitary representation 


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Copyright information

© Birkhäuser 1999

Authors and Affiliations

  • Lawrence W. Baggett
    • 1
  • Herbert A. Medina
    • 2
  • Kathy D. Merrill
    • 3
  1. 1.Department of MathematicsUniversity of Colorado at BoulderBoulder
  2. 2.Department of MathematicsLoyola Marymount UniversityLos Angeles
  3. 3.Department of MathematicsColorado CollegeColorado Springs

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