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Volume 24 - Issue 1 - 01 March 1981

Contents

Page 2 of 2

Research Article

  • The Phragmén-Lindelöf Principle

  • Michael D. Humphries
  • Published online by Cambridge University Press:
    20 November 2018, p. 121
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  • The theorem below is one version of the Phragmén-Lindelöf principle [4], which extends the maximum modulus theorem. The theorem has many applications, including the proof of a better-known but less general result [3], which is sometimes attributed to Phragmén and Lindelöf.

  • A Bound on the Number of Invariant Measures

  • Abraham Boyarsky
  • Published online by Cambridge University Press:
    20 November 2018, pp. 123-124
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  • For τ a piecewise C2 transformation, we present a method for obtaining an upper bound for the number of independent absolutely continuous measures invariant under τ.

    Let τ = [0,1] and let τ:I→ J be a piecewise C2 transformation with infI1 |dτ/dx| > 1, where I1 = I-P and P denotes the points of discontinuity of τ and τ′

Page 2 of 2