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The failure of spectral analysis in $L^p$ for $0 < p < 1$


Author: Karel de Leeuw
Journal: Bull. Amer. Math. Soc. 82 (1976), 111-114
MSC (1970): Primary 30A78; Secondary 43A15
MathSciNet review: 0390656
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References [Enhancements On Off] (What's this?)

  • 1. Peter L. Duren, Theory of 𝐻^{𝑝} spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York-London, 1970. MR 0268655
  • 2. P. L. Duren, B. W. Romberg, and A. L. Shields, Linear functionals on 𝐻^{𝑝} spaces with 0<𝑝<1, J. Reine Angew. Math. 238 (1969), 32–60. MR 0259579
  • 3. R. E. Edwards, Fourier series: A modern introduction. Vols. 1, 2, Holt, Rinehart and Winston, New York, 1967. MR 33 #4659; 35 #7062.
  • 4. Yitzhak Katznelson, An introduction to harmonic analysis, John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0248482
  • 5. A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776

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DOI: http://dx.doi.org/10.1090/S0002-9904-1976-13981-X