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The Multiplicity Function

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

Abstract

Since every orthonormal wavelet, and every semiorthogonal Parseval wavelet, has an associated GMRA, each also has an associated multiplicity function. In this chapter, we explore the use of the multiplicity function as a tool to analyze and build wavelets, and see how it is related to classical tools such as the dimension function.

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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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