On the Fourier-Laplace representation of analytic functions in tube domains.
I. Kh. Musin (1994)
Collectanea Mathematica
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Displaying similar documents to “Polya's theorem for non-entire functions”
On the Fourier-Laplace representation of analytic functions in tube domains.
Generalized analytic functions of Bogdan Ziemian
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.
Hyper-differential operators in complex space
François Trèves (1969)
Bulletin de la Société Mathématique de France
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The Mellin analytic functionals and the Laplace—Beltrami operator on the Minkowski half-plane
Maria Pliś (1991)
Studia Mathematica
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The Taylor transformation of analytic functionals with non-bounded carrier
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.
Extension sets for real analytic functions and applications to Radon transforms.
Arguedas, Vernor, Estrada, Ricardo (1996)
International Journal of Mathematics and Mathematical Sciences
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Continuation of holomorphic solutions to convolution equations in complex domains
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.