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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.

 

Sets of multiplicity and differentiable functions
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by R. Kaufman PDF
Proc. Amer. Math. Soc. 32 (1972), 472-476 Request permission

Abstract:

The paper contains two theorems relating the fine structure of differentiable functions, in one or more dimensions, to the behavior of Fourier-Stieltjes transforms on sets that are small in various ways.
References
  • J. W. S. Cassels, An introduction to Diophantine approximation, Cambridge Tracts in Mathematics and Mathematical Physics, No. 45, Cambridge University Press, New York, 1957. MR 0087708
  • Jean-Pierre Kahane, Approximation par des exponentielles imaginaires; ensembles de Dirichlet et ensembles de Kronecker, Abstract Spaces and Approximation (Proc. Conf., Oberwolfach, 1968) Birkhäuser, Basel, 1969, pp. 190–202 (French). MR 0261230
  • R. Kaufman, A functional method for linear sets, Israel J. Math. 5 (1967), 185–187. MR 236607, DOI 10.1007/BF02771106
  • R. Kaufman, A functional method for linear sets. II, Israel J. Math. 7 (1969), 293–298. MR 262777, DOI 10.1007/BF02788861
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 32 (1972), 472-476
  • MSC: Primary 42A48; Secondary 43A46
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0340928-7
  • MathSciNet review: 0340928