On the space of convolution operators in
Z. Zieleźny (1968)
Studia Mathematica
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Z. Zieleźny (1968)
Studia Mathematica
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Charles Swartz (1972)
Studia Mathematica
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Bosch, Carlos, Kučera, Jan (1988)
International Journal of Mathematics and Mathematical Sciences
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Peter Dierolf, Jürgen Voigt (1978)
Collectanea Mathematica
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Leonhard Frerick, Jochen Wengenroth (2003)
RACSAM
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We review recent developments in the theory of inductive limits and use them to give a new and rather easy proof for Hörmander?s characterization of surjective convolution operators on spaces of Schwartz distributions.
J. Mikusiński (1968)
Studia Mathematica
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Ryszard Wawak (1987)
Studia Mathematica
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Charles W. Swartz (1975)
Czechoslovak Mathematical Journal
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L. Loura (2006)
Czechoslovak Mathematical Journal
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In this paper we use a duality method to introduce a new space of generalized distributions. This method is exactly the same introduced by Schwartz for the distribution theory. Our space of generalized distributions contains all the Schwartz distributions and all the multipole series of physicists and is, in a certain sense, the smallest space containing all these series.