Trigonometric series. Volumes I & II combined

محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Zygmund, Antoni, 1900-1992
مؤلفون آخرون: Fefferman, Robert, 1951-...., mathématicien (كاتب المقدمة، إلخ.)
التنسيق: Livre papier
اللغة:Anglais
منشور في: Cambridge ; London ; New York [etc.] : Cambridge University Press 2002, cop. 2002.
الطبعة:Third edition.
سلاسل:Cambridge mathematical library
الموضوعات:
Autres localisations: Voir dans le Sudoc
جدول المحتويات:
  • Part I
  • 1. Trigonometric series and Fourier series, auxilliary 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.