A. Zygmund

Trigonometric Series

Volumes I & II Combines

• Broschiertes Buch

Produktbeschreibung

The third edition of Professor Zygmund's classic Trigonometric Series, featuring a foreword by Robert Fefferman. Both volumes of the 1959 edition are bound as one. The rigorous treatment of this important subject presented here is a reference work of enduring value for mathematicians at graduate level and above.

Produktdetails

• Cambridge Mathematical Library
• Verlag: Cambridge University Press
• 3., überarb. Aufl.
• Seitenzahl: 784
• Erscheinungstermin: 19. Mai 2011
• Englisch
• Abmessung: 229mm x 152mm x 42mm
• Gewicht: 1112g
• ISBN-13: 9780521890533
• ISBN-10: 0521890535
• Artikelnr.: 11438611

Inhaltsangabe

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.

Rezensionen

'... much material previously unpublished in book form.' Zentralblatt MATH