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Proceedings of the American Mathematical Society

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The dependence of mass upon wind

Author: Brent Smith
Journal: Proc. Amer. Math. Soc. 85 (1982), 206-208
MSC: Primary 43A25; Secondary 42A38
MathSciNet review: 652443
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Abstract: As the winding number of unimodular function on $ {\mathbf{R}}$ increases must the mass of the measure from which it arises (via the Fourier transform) increase?

References [Enhancements On Off] (What's this?)

  • [G-McG] Colin C. Graham and O. Carruth McGehee, Essays in commutative harmonic analysis, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Science], vol. 238, Springer-Verlag, New York-Berlin, 1979. MR 550606
  • [K] Jean-Pierre Kahane, Séries de Fourier absolument convergentes, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 50, Springer-Verlag, Berlin-New York, 1970 (French). MR 0275043
  • [O] A. M. Olevskiĭ, Change of variable and absolute convergence of the Fourier series, Dokl. Akad. Nauk SSSR 256 (1981), no. 2, 284–287 (Russian). MR 600947

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Article copyright: © Copyright 1982 American Mathematical Society

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