A general scheme for quantization has been proposed by Berezin (see e.g. [Bl], [B2],...). This scheme involves as main ingredients a complex manifold Q equip-ped with a measure dx and a family of Hermitean line bundles ￡￡h depending on a parameter h - 0 (interpreted as "Planck's constant"). (Actually, nowhere in Berezin's work one finds line bundles; this point of view was introduced by [PO].) Let A2(Q, fi, J?h) be the Hilbert space of square /i-integrable sections of ifft. Then to each linear, say, bounded operator T on A2(Q, /x, ￡?h) there corresponds a scalar function /, its covariant symbol in the sense of Berezin; the assignment /W 7} is the quantization rule. Furthermore, operator multiplication induces a multiplication of functions (symbols), written (f,g)i- f i,Q> formall.
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