A null series with small anti-analytic part

Details A null series with small anti-analytic part A null series with small anti-analytic part

2005-10-19

arxiv.org/abs/math/0510403v1

C. R. Math. Acad. Sci. Paris 336:6 (2003), 475-478

Mathematics

Classical Analysis and ODEs

6 pages. Should be identical to journal version except for the French abstract

Scientific paper

10.1016/S1631-073X(03)00097-9

We show that it is possible for a square integrable function on the circle,
which is a sum of an almost everywhere convergent series of exponentials with
positive frequencies, to not belong to the Hardy space. A consequence in the
uniqueness theory is obtained.

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