Introduction to measure theory and integration [electronic resource] / Luigi Ambrosio, Guiseppe Da Prato, and Andrea Mennucci.
This textbook collects the notes for an introductory course in measure theory and integration. The course was taught by the authors to undergraduate students of the Scuola Normale Superiore, in the years 2000-2011. The goal of the course was to present, in a quick but rigorous way, the modern point...
Saved in:
| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Author: | |
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Pisa :
Edizioni Della Normale,
©2011.
|
| Series: | Appunti ;
10. |
| Subjects: |
Table of Contents:
- 1. Measure spaces
- 2. Integration
- 3. Spaces of integrable functions
- 4. Hilbert spaces
- 5. Fourier series
- 6. Operations on measures
- 7. The fundamentals theorem of the integral calculus
- 8. Measurable transformations.