Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis
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Publication:2537510
DOI10.1007/BF01351561zbMath0189.09702MaRDI QIDQ2537510
Publication date: 1970
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/161920
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Cites Work
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Faisceaux algébriques cohérents
- The Levi problem for complex spaces
- On Levi's problem and the imbedding of real-analytic manifolds
- Funktionswerte als Randintegrale in komplexen Räumen
- Zur Theorie der Steinschen Algebren und Moduln
- Randintegrale und nukleare Funktionenräume
- Über Modifikationen und exzeptionelle analytische Mengen
- Riemannsche Hebbarkeitssätze für Cohomologieklassen
- Problémes sur les formes différentielles et les courants
- The abstract theorem of Cauchy-Weil
- Analytic and meromorphic continuation by means of Green's formula
- Théorèmes de finitude pour la cohomologie des espaces complexes
- Holomorphic functions with values in locally convex spaces and applications to integral formulas
- The Cauchy integral for functions of several complex variables
- Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III.)