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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Bernoulli convolutions and differentiable functions
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by R. Kaufman PDF
Trans. Amer. Math. Soc. 217 (1976), 99-104 Request permission

Abstract:

Bernoulli convolutions, similar in structure to convolutions with a constant ratio, are considered in relation to differentiable transformations. A space of functions on the Cantor set leads to highly singular measures that nevertheless resemble absolutely continuous measures sufficiently to control their Fourier-Stieltjes transforms.
References
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 217 (1976), 99-104
  • MSC: Primary 42A72
  • DOI: https://doi.org/10.1090/S0002-9947-1976-0397296-2
  • MathSciNet review: 0397296