Hilbert Space Methods

  • Victor Havin
  • Burglind Jöricke
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete / A Series of Modern Surveys in Mathematics book series (MATHE3, volume 28)


Let us denote by X the real line ℝ or the unit circle 𝕋. Then will denote, respectively, ℝ or ℤ; L2(X) will mean the same as L2(X, m) where m is Lebesgue measure on ℝ or normalized Lebesgue measure on 𝕋. The symbol L2() denotes L2 (ℝ, m) or 2(ℤ).


Plancherel Theorem Essential Support Bounded Spectrum Lebesgue Measurable Subset Card Versus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Victor Havin
    • 1
  • Burglind Jöricke
    • 2
  1. 1.Department of MathematicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Max-Planck-Gesellschaft zur Förderung der WissenschaftenBerlinGermany

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