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 many exercises that are incorporated throughout the text, enabling the reader to apply immediately the new ideas that have been presented.

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Détails bibliographiques
Auteur principal: Jones, Frank, 1936-
Format: Livre papier
Langue:Anglais
Publié: Sudbury, Mass. : Jones and Bartlett c2001.
Édition:Rev. ed.
Collection:Jones and Bartlett books in mathematics
Sujets:
Autres localisations: Voir dans le Sudoc
Table des matières:
  • . 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.