The dependence of mass upon wind
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- by Brent Smith PDF
- Proc. Amer. Math. Soc. 85 (1982), 206-208 Request permission
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
- Colin C. Graham and O. Carruth McGehee, Essays in commutative harmonic analysis, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 238, Springer-Verlag, New York-Berlin, 1979. MR 550606
- 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
- Jean-Pierre Kahane and Yitzhak Katznelson, Homéomorphismes du cercle et séries de Fourier absolument convergentes, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 4, 271–273 (French, with English summary). MR 609065
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 206-208
- MSC: Primary 43A25; Secondary 42A38
- DOI: https://doi.org/10.1090/S0002-9939-1982-0652443-8
- MathSciNet review: 652443