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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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A preparation theorem for Weierstrass systems
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by Daniel J. Miller PDF
Trans. Amer. Math. Soc. 358 (2006), 4395-4439 Request permission

Abstract:

It is shown that Lion and Rolin’s preparation theorem for globally subanalytic functions holds for the collection of definable functions in any expansion of the real ordered field by a Weierstrass system.
References
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Additional Information
  • Daniel J. Miller
  • Affiliation: Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, Wisconsin 53706-1388
  • Email: daniel_jeffrey_miller@yahoo.com
  • Received by editor(s): August 20, 2004
  • Published electronically: May 9, 2006
  • © Copyright 2006 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 358 (2006), 4395-4439
  • MSC (2000): Primary 03C10, 14P15; Secondary 03C64
  • DOI: https://doi.org/10.1090/S0002-9947-06-04190-0
  • MathSciNet review: 2231383