The product of and on .
Li, C.K. (2000)
International Journal of Mathematics and Mathematical Sciences
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Li, C.K. (2000)
International Journal of Mathematics and Mathematical Sciences
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Li, C.K., Zou, V. (2004)
International Journal of Mathematics and Mathematical Sciences
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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.
Fisher, Brian, Al-Sirehy, Fatma (1999)
Bulletin of the Malaysian Mathematical Society. Second Series
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Jiří Jelínek (1986)
Commentationes Mathematicae Universitatis Carolinae
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Kilicman, Adem (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Nadarajah, Saralees (2005)
Mathematical Problems in Engineering
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Roman Sikorski (1961)
Studia Mathematica
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M. Kłosowska (1972)
Studia Mathematica
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Ricardo Estrada (2010)
Banach Center Publications
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It is well-known that any locally Lebesgue integrable function generates a unique distribution, a so-called regular distribution. It is also well-known that many non-integrable functions can be regularized to give distributions, but in general not in a unique fashion. What is not so well-known is that to many distributions one can associate an ordinary function, the function that assigns the distributional point value of the distribution at each point where the value exists, and that...
Jan Mikusiński, Roman Sikorski
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CONTENTS Introduction........................................................................................................... 3 § 1. The abstraction principle............................................................................... 4 § 2. Fundamental sequences of continuous functions......................................... 5 § 3. The definition of distributions........................................................................ 9 § 4. Distributions as a generalization of...