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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
Lars-Erik Persson
(Author)
·
George Tephnadze
(Author)
·
Ferenc Weisz
(Author)
·
Birkhauser
· Hardcover
Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series - Persson, Lars-Erik ; Tephnadze, George ; Weisz, Ferenc
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Synopsis "Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series"
- 1. Partial Sums of Vilenkin-Fourier Series in Lebesgue Spaces. - 2. Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series. - 3. Vilenkin-Fejér Means and an Approximate Identityin Lebesgue Spaces. - 4. Nörlund and T Means of Vilenkin-Fourier Series in Lebesgue Spaces. - 5. Theory of Martingale Hardy Spaces. - 6. Vilenkin-Fourier Coefficients and Partial Sums in Martingale Hardy Spaces. - 7. Vilenkin-Fejér Means in Martingale Hardy Spaces. - 8. Nörlund and T Means of Vilenkin-Fourier Series in Martingale Hardy Spaces. - 9. Convergence of Vilenkin-Fourier Series in Variable Martingale Hardy Spaces. - 10. Appendix: Dyadic Group and Walsh and Kaczmarz Systems.
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The book is written in English.
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