Classical Fourier analysis. 3rd ed. (English) Zbl 1304.42001
Graduate Texts in Mathematics 249. New York, NY: Springer (ISBN 978-1-4939-1193-6/hbk; 978-1-4939-1194-3/ebook). xvii, 638 p. (2014).
From publisher’s description: “This third edition includes new sections [3.5, 4.4, 4.5] as well as a new chapter on “Weighted inequalities,” which has been moved from GTM 250, 2nd edition. [Appendices I and B.9 are also new to this edition.] Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.”
Editorial remark: For a review of the second edition see Zbl 1220.42001.
Editorial remark: For a review of the second edition see Zbl 1220.42001.
MSC:
| 42-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces |
| 42B10 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
| 42B15 | Multipliers for harmonic analysis in several variables |
| 42B05 | Fourier series and coefficients in several variables |
| 42B25 | Maximal functions, Littlewood-Paley theory |
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
