Some properties of holomorphic generalized functions on \(C^ \infty\)-strictly pseudoconvex domains

DOI10.1007/BF00113921zbMath0853.32019MaRDI QIDQ1912685

Jorge Aragona

Publication date: 9 January 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Colombeau algebrageneralized functionsplurisubharmonic functionpseudoconvex domains\(\overline{\partial}\)-equation

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items

Zeros of generalized holomorphic functions ⋮ Hyper-power series and generalized real analytic functions

Cites Work

• Unnamed Item
• Holomorphic generalized functions
• Analytic continuation of generalized functions
• Intrinsic definition of the Colombeau algebra of generalized functions
• A nonlinear theory of generalized functions.
• Some results for the \(\overline{\partial}\) operator on generalized differential forms
• Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen
• L'equation différentielle de Cauchy Riemann sur un domaine strictement pseudo-convexe. Solutions bornees
• On Existence Theorems for the ∂¯ Operator on Generalized Differential Forms

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