Holomorphic perturbation of a system of micro-differential equations
Takahiro Kawai (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “On strongly asymptotically developable functions and the Borel-Ritt theorem”
Holomorphic perturbation of a system of micro-differential equations
Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.
Mats Andersson, Hasse Carlsson (1995)
Revista Matemática Iberoamericana
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Let D be a bounded strictly pseudoconvex domain in C. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.
Strong boundary values : independence of the defining function and spaces of test functions
Jean-Pierre Rosay, Edgar Lee Stout (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The notion of “strong boundary values” was introduced by the authors in the local theory of hyperfunction boundary values (boundary values of functions with unrestricted growth, not necessarily solutions of a PDE). In this paper two points are clarified, at least in the global setting (compact boundaries): independence with respect to the defining function that defines the boundary, and the spaces of test functions to be used. The proofs rely crucially on simple results in spectral asymptotics. ...
Interpolation by holomorphic functions in the unit ball with polynomial growth
Xavier Massaneda (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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The classification of curvilinear angles in the complex plane and the groups of holomorphic diffeomorphisms
Isao Nakai (1998)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Holomorphic convexity of spaces of analytic cycles
François Norguet, Yum-Tong Siu (1977)
Bulletin de la Société Mathématique de France
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(LB)-structure of spaces of germs of holomorphic functions.
Nguyen Dinh Lan (2000)
Publicacions Matemàtiques
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We study the structure of spaces of germs of holomorphic functions on compact sets in Fréchet spaces for (LB) as well as for (Ω,Ω).