Measure and Integration
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Beschreibung
This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text. Hints are included for some of the more difficult problems.
Axiomatic treatment of Lebesgue integration allows quick access to the main convergence of theorems Includes a brief introduction to Fourier analysis in the Euclidean setting Provides a treatment of standard measure spaces and analytic sets Detailed index provides easy navigation to the main results Includes supplementary material: sn.pub/extras
Autor*in
Hari Bercovici
Themen in »Measure and Integration«
Borel set Fourier transform Lebesgue integral Analytic set Measure space Measure theory Fourier analysis Fourier series Standard measure space Maximal function Functional algebra
Stimmen zu »Measure and Integration«
“The book is a perfect introduction for graduate students into the theory of measure and Lebesgue integration. It is written in a very pedagogical way providing in each chapter many examples and a long collection of problems with a number of hints for the more challenging ones.” (Oscar Blasco, zbMATH 1337.28001, 2016)
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