Editorial statement on the paper: The Corona theorem for the ball and polydisc.
Effective Formulas for the carathéodory distance.
Effective local finite generation of multiplier ideal sheaves
Let be a psh function on a bounded pseudoconvex open set , and let be the associated multiplier ideal sheaves, . Motivated by global geometric issues, we establish an effective version of the coherence property of as . Namely, given any , we estimate the asymptotic growth rate in of the number of generators of over , as well as the growth of the coefficients of sections in with respect to finitely many generators globally defined on . Our approach relies on proving asymptotic integral...
Effectiveness of similar sets of polynomials of two complex variables in polycylinders and in Faber regions.
Ein einfacher Beweis des Kohärenzsatzes von Grauert.
Ein geometrisches Endlichkeitskriterium für Untergruppen von Aut (C, 0) und holomorphe 1-codimensionale Blätterungen.
Ein Kontinuitätssatz für k-holomorphe Mengen.
Eine einheitliche Methode zur Herleitung von reihenentwicklungen für Ganze funktionen vom Exponentialtyp
Eine geometrische Eigenschaft von Rungeschen Gebieten.
Eine Linearisierung kontrahierender biholomorpher Abbildungen und damit zusammenhängender analytischer Differentialgleichungssysteme.
Einfache holomorphe Abbildungen.
Einfache holomorphe Funktionen.
Einige elementare Ungleichungen für Exponentialpolynome.
Elimination der Unbestimmtheitsstellen meromorpher Funktionen.
Embedding derivatives of -harmonic tent spaces into Lebesgue spaces.
Embedding polydisk algebras into the disk algebra and an application to stable ranks
It is shown how to embed the polydisk algebras (finite and infinite ones) into the disk algebra A(𝔻̅). As a consequence, one obtains uniform closed subalgebras of A(𝔻̅) which have arbitrarily prescribed stable ranks.
Embedding subsets of tori Properly into
Let be a complex one-dimensional torus. We prove that all subsets of with finitely many boundary components (none of them being points) embed properly into . We also show that the algebras of analytic functions on certain countably connected subsets of closed Riemann surfaces are doubly generated.
Embeddings of the line in the plane.
Endliche Erzeugbarkeit im Ring aller holomorphen Funktionen.
Endomorphismes de l'espace des germes de fonctions holomorphes en un point et opérateurs différentiels d'ordre infini