The Laplace Integral

  • Wolfgang ArendtEmail author
  • Charles J. K. Batty
  • Matthias Hieber
  • Frank Neubrander
Part of the Monographs in Mathematics book series (MMA, volume 96)


The first three sections of this chapter are of a preliminary nature. There, we collect properties of the Bochner integral of functions of a real variable with values in a Banach space X.


Banach Space Closed Subspace Lebesgue Point Order Banach Space Fourier Type 
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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • Wolfgang Arendt
    • 1
    Email author
  • Charles J. K. Batty
    • 2
  • Matthias Hieber
    • 3
  • Frank Neubrander
    • 4
  1. 1.Angewandte AnalysisUniversität UlmUlmGermany
  2. 2.St. John’s CollegeOxfordUK
  3. 3.Fachbereich MathematikTU DarmstadtDarmstadtGermany
  4. 4.Department of MathematicsLouisiana State UniversityBaton RougeUSA

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