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Expansions for Integrals Relative to Invariant Measures Determined by Contractive Affine Maps

  • Charles A. Micchelli
Conference paper
  • 257 Downloads
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 19)

Abstract

We discuss expansions for integrals to invariant measures of certain stationary Markov chains determined by contractive affine maps. In the homogeneous case, Appell polynomials generated by the Fourier transform of the invariant measure determines the expansion. Some facts about the spectral radius of a stationary subdivision operator and the Lipshitz class of refinable functions are also included.

Keywords

Invariant Measure Entire Function Spectral Radius Iterate Function System Strong Operator Topology 
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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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Charles A. Micchelli
    • 1
  1. 1.Mathematical Sciences DepartmentIBM T.J. Watson Research CenterYorktown HeightsUSA

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