  A theorem of Harald Bohr (1914) states that if f is a holomorphic map from
the unit disc into itself, then the sum of absolute values of its Taylor
expansion is less than 1 for |z|<1/3. The bound 1/3 is optimal. This result has
been extended in a suitable sense by Liu Taishun and Wang Jianfei (2007) to the
bounded complex symmetric domains of the four classical series, and to
polydiscs. The result of Liu and Wang may be generalized to all bounded
symmetric domains, with a proof which does not depend on classification.
