Lebesgue Integration On Euclidean Space

Frank Jones

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Frank Jones - Lebesgue Integration On Euclidean Space.
Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. It contains... Lire la suite
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Résumé

Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. It contains many exercises that are incorporated throughout the text, enabling the reader to apply immediately the new ideas that have been presented.

Sommaire

    • Lebesgue Measure on Rn
    • Invariance of Lebesgue Measure
    • Some interesting Sets
    • Algebras of Sets and Measurable Functions
    • Integration
    • Lebesgue Integral on Rn
    • Fubini's Theorem for Rn
    • The Gamma Function
    • Lp Spaces
    • Products of Abstract Measures
    • Convolutions
    • Fourier Transform on Rn
    • Fourier Series in One Variable
    • Differentiation
    • Differentiation for Functions on R.

Caractéristiques

  • Date de parution
    29/06/2001
  • Editeur
  • ISBN
    0-7637-1708-8
  • EAN
    9780763717087
  • Présentation
    Broché
  • Nb. de pages
    588 pages
  • Poids
    0.9 Kg
  • Dimensions
    16,3 cm × 23,4 cm × 3,1 cm

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À propos de l'auteur

Biographie de Frank Jones

Frank Jones received his bachelor's and Ph. D. degrees from Rice University. His major research interests include real analysis and partial differential equations. In addition, he has been awarded several distinguished teaching awards throughout his career at Rice University.

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