On the Fourier-Laplace representation of analytic functions in tube domains.
I. Kh. Musin (1994)
Collectanea Mathematica
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I. Kh. Musin (1994)
Collectanea Mathematica
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Grzegorz Łysik (2000)
Annales Polonici Mathematici
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Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.
François Trèves (1969)
Bulletin de la Société Mathématique de France
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Maria Pliś (1991)
Studia Mathematica
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Grzegorz Łysik (1994)
Studia Mathematica
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Let L be a closed convex subset of some proper cone in ℂ. The image of the space of analytic functionals Q'(L) with non-bounded carrier in L under the Taylor transformation as well as the representation of analytic functionals from Q'(L) as the boundary values of holomorphic functions outside L are given. Multipliers and operators in Q'(L) are described.
Arguedas, Vernor, Estrada, Ricardo (1996)
International Journal of Mathematics and Mathematical Sciences
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Ryuichi Ishimura, Jun-ichi Okada, Yasunori Okada (2000)
Annales Polonici Mathematici
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For an analytic functional on , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in . We determine the directions in which every solution can be continued analytically, by using the characteristic set.