One-parameter system of functional equation. (Summary).
Stefania Paganoni-Marzegalli (1993)
Aequationes mathematicae
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Displaying similar documents to “Holomorphic solutions of an inhomogeneous Cauchy equation.”
One-parameter system of functional equation. (Summary).
The holomorphic automorphism group of the complex disk.
Abraham A. Ungar (1994)
Aequationes mathematicae
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On some properties of a differential operator on the polydisk.
Shamoyan, Romi, Li, Songxiao (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Extension of separately holomorphic functions-a survey 1899-2001
Peter Pflug (2003)
Annales Polonici Mathematici
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This note is an attempt to describe a part of the historical development of the research on separately holomorphic functions.
Intermediate holomorphy
M. Nikić (1988)
Matematički Vesnik
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Extension of separately holomorphic functions defined in non-open sets in the infinite dimensional case
Ludwik M. Drużkowski (1983)
Annales Polonici Mathematici
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On a holomorphic solution of a singular partial differential equation with many simple poles
Joji Kajiwara (1974)
Czechoslovak Mathematical Journal
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A generalization of the Malgrange-Zerner theorem
Ludwik M. Drużkowski (1980)
Annales Polonici Mathematici
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On functional linear partial differential equations in Gevrey spaces of holomorphic functions.
Stéphane Malek (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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We investigate existence and unicity of global sectorial holomorphic solutions of functional linear partial differential equations in some Gevrey spaces. A version of the Cauchy-Kowalevskaya theorem for some linear partial -difference-differential equations is also presented.
Non-extendable holomorphic functions
P. Pflug (1985)
Matematički Vesnik
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Integral holomorphic functions
Verónica Dimant, Pablo Galindo, Manuel Maestre, Ignacio Zalduendo (2004)
Studia Mathematica
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We define the class of integral holomorphic functions over Banach spaces; these are functions admitting an integral representation akin to the Cauchy integral formula, and are related to integral polynomials. After studying various properties of these functions, Banach and Fréchet spaces of integral holomorphic functions are defined, and several aspects investigated: duality, Taylor series approximation, biduality and reflexivity.
The image of a finely holomorphic map is pluripolar
Armen Edigarian, Said El Marzguioui, Jan Wiegerinck (2010)
Annales Polonici Mathematici
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We prove that the image of a finely holomorphic map on a fine domain in ℂ is a pluripolar subset of ℂⁿ. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.