Zygmund, Antoni, 1900-1992.
Trigonometric series / A. Zygmund.
— 2nd ed. — Cambridge [Eng.] : University Press, 1959. 2 v. ; 26 cm.
Primera ed. publicada en 1935 con el título: Trigonometrical series.
Bibliografía: v. 2, p. 336-351.
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.
Contenido: 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.
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