Generalized Fractal Strings Viewed as Measures

  • Michel L. Lapidus
  • Machiel van Frankenhuijsen
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter, we develop the notion of generalized fractal string, viewed as a measure on the half-line. This is more general than the notion of fractal string considered in Chapter 1 and in the earlier work on this subject (see the notes to Chapter 1).


Prime Number Zeta Function Theta Function Complex Dimension Riemann Zeta Function 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Michel L. Lapidus
    • 1
  • Machiel van Frankenhuijsen
    • 2
  1. 1.Department of MathematicsUniversity of California, RiversideRiversideUSA
  2. 2.Department of MathematicsUtah Valley UniversityOremUSA

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