Geometric generalizations in Kresin-Maz'ya Sharp Real-Part Theorems
In the present article we give geometric generalizations of the estimates from Chapters 5,6,7 from \cite{krem:gnus}, while extending their sharpness to new cases.
math.CV↗
arXiv subjects
Alekos Vidras
Publications and source records attributed to Alekos Vidras.
Bohr and Rogosinski abscissas for ordinary Dirichlet series
We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain $G\subset \mathbb{C} $ are independent of the domain $G$. Furthermore, we obtain new estimates about these abscissas.
math.CV↗
Analytic Residues along Algebraic Cycles
We present a restricted version of some affine Jacobi's residue formula (on an affine algebraic variety) with applications to higher dimensional (and affine) analogues of Wood's (or Reiss's) relations about the interpolation of pieces of analytic manifolds. We also compare algebraic and analytic constructions of residue currents along analytic cycles and sketch some of their main properties. This work extend previous work of the authors in the affine space.
math.CV↗