Articoli correlati a Introduction to Measure Theory and Integration: 10

Introduction to Measure Theory and Integration: 10 - Brossura

Ambrosio, Luigi

 
9788876423857: Introduction to Measure Theory and Integration: 10

Sinossi

Based on an undergraduate course taught by the authors, this book puts Lebesgue's Euclidean space theory into a more general context and presents the basic applications to Fourier series, calculus and real analysis. Includes exercises with detailed solutions.

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Contenuti

Measure spaces.- Integration.- Spaces of measurable functions.- Hilbert spaces.- Fourier series.- Operations on measures.- The fundamental theorem of integral calculus.- Operations on measures.- Appendix: Riesz representation theorem of the dual of C(K) and integrals depending on a parameter.- Solutions to the exercises.

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