Subharmonic almost periodic functions of slow growth. (English) Zbl 1213.31001
Summary: We obtain a complete description of the Riesz measures of almost periodic subharmonic functions with at most linear growth on \(\mathbb C\). As a consequence, we get a complete description of zero sets for the class of entire functions of exponential type with almost periodic moduli.
MSC:
| 31A05 | Harmonic, subharmonic, superharmonic functions in two dimensions |
| 42A75 | Classical almost periodic functions, mean periodic functions |
| 30D15 | Special classes of entire functions of one complex variable and growth estimates |
| 30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
