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Pointwise Convergence of Fourier Series

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Cover of 'Pointwise Convergence of Fourier Series'

Table of Contents

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    Book Overview
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    Chapter 1 1. Hardy-Littlewood maximal function
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    Chapter 2 2. Fourier Series
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    Chapter 3 3. Hilbert Transform
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    Chapter 4 The Charleson-Hunt Theorem
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    Chapter 5 4. The Basic Step
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    Chapter 6 5. Maximal Inequalities
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    Chapter 7 6. Growth of Partial Sums
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    Chapter 8 7. Carleson analysis of the function
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    Chapter 9 8. Allowed Pairs
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    Chapter 10 9. Pair Interchange Theorems
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    Chapter 11 10. All together
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    Chapter 12 11. Spaces of functions
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    Chapter 13 12. The Maximal Operator of Fourier series
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    Chapter 14 13. Fourier Transform on the line
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    Chapter 15 References
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    Chapter 16 Comments and Subject Index
Attention for Chapter 6: 5. Maximal Inequalities
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