Holomorphy types on a Banach spaces
Seán Dineen (1971)
Studia Mathematica
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Seán Dineen (1971)
Studia Mathematica
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José M. Isidro (1990)
Revista Matemática de la Universidad Complutense de Madrid
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A class of locally convex vector spaces with a special Schauder decomposition is considered. It is proved that the elements of this class, which includes some spaces naturally appearing in infinite dimensional holomorphy, are quasinormable though in general they are neither metrizable nor Schwartz spaces.
Pawan Kumar Kamthan (1969)
Collectanea Mathematica
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Ivo Vrkoč (1985)
Czechoslovak Mathematical Journal
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Richard Aron (1973)
Studia Mathematica
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Matos, Mário C. (1988)
Portugaliae mathematica
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Bruno Brive (2003)
Publicacions Matemàtiques
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We consider the functional equation f(z+σ) - f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions. We prove the existence of certain types of solutions of this equation by an a priori estimate method in certain weighted L-spaces.
V. Babalola (1974)
Studia Mathematica
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