Given a frequency $$\lambda $$ , we study general Dirichlet series $$\sum a_n e^{-\lambda _n s}$$ . First, give new condition on which ensures that somewhere convergent defining bounded holomorphic function in the right half-plane converges uniformly this half-plane, improving classical results of Bohr and Landau. Then, following recent works Defant Schoolmann, investigate Hardy spaces these se...

We analyze a potentially risk-averse convex stochastic optimization problem, where the control is deterministic and state Banach-valued essentially bounded random variable. obtain strong forms of necessary sufficient optimality conditions for problems subject to equality conical constraints. propose Moreau-Yosida regularization constraint show consistency regularized problem as parameter taken ...