Inequalities for entire functions. (Q2782539)

Let \(B_{p,\sigma}(\mathbb{R}^n)\) be the subspace of the set of entire functions of exponential type \(\sigma\) whose restrictions to \(\mathbb{R}^n\) belong to \(L_{p,\sigma}\), \(p\in (0,\infty[\). The author investigates restrictions of the functions from \(B_{p,\sigma} (\mathbb{R}^n)\) to abelian coverings over compact algebraic manifolds and establishes the generalizations of well-known classical inequalities on \(\mathbb{R}^n\) (Berenstein, Plansherel-Pólya and Levin-Logvinenko-Katznelson inequalities).NEWLINENEWLINEFor the entire collection see [Zbl 0980.00031].