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). . Monogr. Mat. Vol. 5. Warszawa, Lwow: Subwencji Fundusz Kultury Narodowej. Zbl . At icm.edu.pl:
  • Zygmund, Antoni (1952). Trigonometrical series. New York: Chelsea Publishing Co. MR .
  • Zygmund, Antoni (1955). Trigonometrical series. New York: Dover Publications. MR .
  • Zygmund, Antoni (1959). Trigonometric series (2nd ed.). Cambridge University Press. MR . , .
  • Zygmund, Antoni (1968). . Second edition, reprinted with corrections and some additions. Vol. I and II (2nd ed.). Cambridge University Press. MR .
  • Zygmund, Antoni (1977). Trigonometric series. Vol. I and II. Cambridge University Press. ISBN 978-0-521-07477-3. MR .
  • Zygmund, Antoni (1988). Trigonometric series. Cambridge Mathematical Library. Vol. I and II. Cambridge University Press. ISBN 978-0-521-35885-9. MR .
  • Zygmund, Antoni (2002). Fefferman, Robert A. (ed.). Trigonometric series. Cambridge Mathematical Library. Vol. I and II (3rd ed.). Cambridge University Press. ISBN 978-0-521-89053-3. MR .

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