Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On functions that are trivial cocycles for a set of irrationals
HTML articles powered by AMS MathViewer

by Larry Baggett PDF
Proc. Amer. Math. Soc. 104 (1988), 1212-1215 Request permission

Abstract:

The main result of this paper is that the set of irrationals, for which a given function is a trivial cocycle, must be of the first category, unless the function is the exponential of a trigonometric polynomial.
References
    J. Aaronson and M. Nadkarni, ${L_\infty }$ eigenvalues and ${L_2}$ spectra of nonsingular transformations (to appear). L. Baggett and K. Merrill, Equivalence of cocycles for an irrational rotation (to appear).
  • Henry Helson and Kathy D. Merrill, Cocycles on the circle. II, Special classes of linear operators and other topics (Bucharest, 1986) Oper. Theory Adv. Appl., vol. 28, Birkhäuser, Basel, 1988, pp. 121–124. MR 942917
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 28D05, 42A05, 58F11
  • Retrieve articles in all journals with MSC: 28D05, 42A05, 58F11
Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 1212-1215
  • MSC: Primary 28D05; Secondary 42A05, 58F11
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0948145-6
  • MathSciNet review: 948145