Trigonometric series
A. Zygmund.
2nd ed.
Cambridge [Eng.] : University Press, 1959.
2 vols. ; 26 cm.
Primera ed. publicada en 1935 con el título: Trigonometrical series.
Bibliografía: v. 2, p. 336-351.
Reseña: MathSciNet, 21 #6498
Contenido
- Part I: 1. Trigonometric series and Fourier series, auxiliary results
- 2. Fourier coefficients, elementary theorems on the convergence of S[f] and \tilde{S}[f]
- 3. Summability of Fourier series
- 4. Classes of functions and Fourier series
- 5. Special trigonometric series 6. The absolute convergence of trigonometric series
- 7. Complex methods in Fourier series
- 8. Divergence of Fourier series
- 9. Riemann's theory of trigonometric series.
- Part II: 10. Trigonometric interpolation
- 11. Differentiation of series, generalised derivatives
- 12. Interpolation of linear operations, more about Fourier coefficients
- 13. Convergence and summability almost everywhere
- 14. More about complex methods
- 15. Applications of the Littlewood-Paley function to Fourier series
- 16. Fourier integrals
- 17. A topic in multiple Fourier series.