Trigonometric Series
From HandWiki
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| Author | Antoni Zygmund |
|---|---|
| Subject | Trigonometric series |
| Published | 1935, 1959, 2002 |
Antoni Zygmund wrote a classic two-volume set of books entitled Trigonometric Series, which discusses many different aspects of trigonometric series. The first edition was a single volume, published in 1935 (under the slightly different title Trigonometrical Series). The second edition of 1959 was greatly expanded, taking up two volumes, though it was later reprinted as a single volume paperback. The third edition of 2002 is similar to the second edition, with the addition of a preface by Robert A. Fefferman on more recent developments, in particular Carleson's theorem about almost everywhere pointwise convergence for square-integrable functions.[citation needed]
Publication history
- Zygmund, Antoni (1935). Trigonometrical series.. Monogr. Mat.. 5. Warszawa, Lwow: Subwencji Fundusz Kultury Narodowej.. https://archive.org/details/trigonometricals00zygm/. At icm.edu.pl: original archived
- Zygmund, Antoni (1952). Trigonometrical series. New York: Chelsea Publishing Co..
- Zygmund, Antoni (1955). Trigonometrical series. New York: Dover Publications.
- Zygmund, Antoni (1959). Trigonometric series (2nd ed.). Cambridge University Press. Volume I, Volume II.
- Zygmund, Antoni (1968). Trigonometric series. Second edition, reprinted with corrections and some additions. I and II (2nd ed.). Cambridge University Press. https://archive.org/details/trigonometricser0012azyg/.
- Zygmund, Antoni (1977). Trigonometric series. I and II. Cambridge University Press. ISBN 978-0-521-07477-3.
- Zygmund, Antoni (1988). Trigonometric series. Cambridge Mathematical Library. I and II. Cambridge University Press. ISBN 978-0-521-35885-9.
- Zygmund, Antoni (2002). Fefferman, Robert A.. ed. Trigonometric series. Cambridge Mathematical Library. I and II (3rd ed.). Cambridge University Press. ISBN 978-0-521-89053-3.
Reviews
- Kahane, Jean-Pierre (2004), "Book review: Trigonometric series, Vols. I, II", Bulletin of the American Mathematical Society 41 (3): 377–390, doi:10.1090/s0273-0979-04-01013-4, ISSN 0002-9904
- Salem, Raphael (1960), "Book Review: Trigonometric series", Bulletin of the American Mathematical Society 66 (1): 6–12, doi:10.1090/S0002-9904-1960-10362-X, ISSN 0002-9904
- Tamarkin, J. D. (1936), "Zygmund on Trigonometric Series", Bull. Amer. Math. Soc. 42 (1): 11–13, doi:10.1090/s0002-9904-1936-06235-x, http://projecteuclid.org/euclid.bams/1183498633
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