Hyper-differential operators in complex space
François Trèves (1969)
Bulletin de la Société Mathématique de France
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François Trèves (1969)
Bulletin de la Société Mathématique de France
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Grzegorz Łysik (1997)
Studia Mathematica
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Quasi-analyticity theorems of Phragmén-Lindelöf type for holomorphic functions of exponential type on a half plane are stated and proved. Spaces of Laplace distributions (ultradistributions) on ℝ are studied and their boundary value representation is given. A generalization of the Painlevé theorem is proved.
Maria Pliś (1995)
Studia Mathematica
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The theory of Mellin analytic functionals with unbounded carrier is developed. The generalized Mellin transform for such functionals is defined and applied to solve the Laplace-Beltrami type singular equations on a hyperbolic space. Then the asymptotic expansion of solutions is found.
Lawrence Gruman (1972)
Annales de l'institut Fourier
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For certain Fréchet spaces of entire functions of several variables satisfying some specified growth conditions, we define a constant coefficient differential operator as the transpose of a convolution operation in the dual space of continuous linear functionals and show that for in one of these spaces, their always exists a solution of the differential equation in the same space.
Yoshino, Kunio
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Mitsuo Morimoto (1983)
Banach Center Publications
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John Erik Fornæss, Claudio Rea (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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