Vector-valued holomorphic functions in several variables

DOI10.7169/facm/1861zbMath1473.46045arXiv1910.13033OpenAlexW3101107827MaRDI QIDQ2238276

Karsten Kruse

Publication date: 1 November 2021

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13033

zbMATH Keywords

locally completeseveral variablesholomorphicvector-valuedweakly holomorphic

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Holomorphic functions of several complex variables (32A10)

Related Items (3)

Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions ⋮ Complete norm-preserving extensions of holomorphic functions ⋮ Extension of vector-valued functions and weak-strong principles for differentiable functions of finite order

Cites Work

• Vitali's and Harnack's type results for vector-valued functions
• Differential calculus in locally convex spaces
• Vector-valued holomorphic functions revisited
• Vector-valued meromorphic functions
• Weighted spaces of vector-valued functions and the \(\varepsilon\)-product
• Extension of vector-valued functions
• First steps in several complex variables: Reinhardt domains
• Einführung in die Theorie der lokalkonvexen Räume
• Aufbaukurs Funktionalanalysis und Operatortheorie
• Extension of bounded vector-valued functions
• A weak criterion for vector-valued holomorphy
• Extension of vector-valued holomorphic and harmonic functions
• Analytic Continuation of Holomorphic Functions with Values in a Locally Convex Space
• The Slice Product of Function Algebras
• Analytic functions in topological vector-spaces
• Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
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