An approximation theorem and its applications in operational calculus
J. Mikusiński (1966)
Studia Mathematica
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J. Mikusiński (1966)
Studia Mathematica
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Daniel Waterman (1976)
Studia Mathematica
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Harris Shultz (1972)
Studia Mathematica
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R. Bittner (1961)
Studia Mathematica
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T. Zolezzi (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Marco Biroli (1977)
Rendiconti del Seminario Matematico della Università di Padova
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José Luis Arregui, Oscar Blasco (1997)
Collectanea Mathematica
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Albert Baernstein (1972)
Studia Mathematica
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Trenčevski, K. (1995)
Serdica Mathematical Journal
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In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).
A. Goncharov (1997)
Studia Mathematica
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We prove that generalized Cantor sets of class α, α ≠ 2 have the extension property iff α < 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. The result has some interconnection with potential theory.