From Banach to distributions and currents
Pierre Dolbeault (2009)
Banach Center Publications
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Pierre Dolbeault (2009)
Banach Center Publications
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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...
Roman Sikorski (1961)
Studia Mathematica
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Jan Mikusiński, Roman Sikorski
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CONTENTS Introduction................................................................................... 3 § 1. Terminology and notation.................................................................................... 4 § 2. Uniform and almost uniform convergence....................................................... 6 § 3. Fundamental sequences of smooth functions............................................... 6 § 4. The definition of distributions................................................................................
M. Kłosowska (1972)
Studia Mathematica
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Stevan Pilipović (1988)
Publications de l'Institut Mathématique
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J. Mikusiński (1969)
Studia Mathematica
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Estrada, Ricardo (1998)
International Journal of Mathematics and Mathematical Sciences
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Matthev O. Ojo (2001)
Kragujevac Journal of Mathematics
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