Math 205a Notes
نویسنده
چکیده
Part 1. Measure Theory 1 1. Outer Measure: 9/23/14 1 2. The Lesbegue Measure: 9/30/14 5 3. Borel and Radon Measures: 10/2/14 8 4. Measurable Functions: 10/7/14 12 5. Convergence in Probability: 10/9/14 16 6. Back to Calculus: The Newton-Leibniz Formula: 10/14/14 20 7. Two Integration Theorems and Product Measures: 10/16/14 24 8. Product Measures and Fubini’s Theorem: 10/21/14 27 9. Besikovitch’s Theorem: 10/23/14 30 10. Differentiation of Measures: 10/28/14 33 11. Local Averages and Signed Measures: 10/30/14 36 12. The Riesz Representation Theorem: 11/4/14 39 13. The Riesz Representation Theorem for Cc(R,R): 11/6/14 42
منابع مشابه
Lecture notes for Math 205A
Essentially nothing found here is original except for a few mistakes and misprints here and there. These lecture notes are based on material from the following books: H. Royden " Real Analysis " , L. Evans and R. Gariepy " Measure Theory and Fine Properties of Functions " , J. Duoandikoetxea " Fourier Analysis " , and M. Pinsky " Introduction to Fourier Analysis and Wavelets " .
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