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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
DOI: https://doi.org/10.1090/S0002-9904-1976-13981-X
MathSciNet review: 0390656
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References [Enhancements On Off] (What's this?)

  • 1. P. Duren, Theory of H, Pure and Appl. Math., vol. 38, Academic Press, New York, 1970. MR 42 #3552. MR 268655
  • 2. P. Duren, B. Romberg and A. Shields, Linear functionals on H 0 < p < 1, J. Reine Angew. Math. 238 (1969), 32-60. MR 41 #4217. MR 259579
  • 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. Y. Katznelson, An introduction to harmonic analysis, Wiley, New York, 1968. MR 40 #1734. MR 248482
  • 5. A. Zygmund, Trigonometric series, Vols. 1, 2, 2nd ed., Cambridge Univ. Press, New York, 1959. MR 21 #6498. MR 107776

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

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