Book Volume 1785 2002

Pointwise Convergence of Fourier Series

Authors:

ISBN: 978-3-540-43270-8 (Print) 978-3-540-45822-7 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages -

  2. No Access

    Chapter

    Pages 3-10

    1. Hardy-Littlewood maximal function

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    Chapter

    Pages 11-29

    2. Fourier Series

  4. No Access

    Chapter

    Pages 31-44

    3. Hilbert Transform

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    Chapter

    Pages 47-49

    The Charleson-Hunt Theorem

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    Chapter

    Pages 51-72

    4. The Basic Step

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    Chapter

    Pages 73-76

    5. Maximal Inequalities

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    Chapter

    Pages 77-84

    6. Growth of Partial Sums

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    Chapter

    Pages 85-91

    7. Carleson analysis of the function

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    Chapter

    Pages 93-102

    8. Allowed Pairs

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    Chapter

    Pages 103-115

    9. Pair Interchange Theorems

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    Chapter

    Pages 117-123

    10. All together

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    Chapter

    Pages 127-143

    11. Spaces of functions

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    Chapter

    Pages 145-162

    12. The Maximal Operator of Fourier series

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    Chapter

    Pages 163-166

    13. Fourier Transform on the line

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    Chapter

    Pages 167-169

    References

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    Chapter

    Pages 171-175

    Comments and Subject Index