On infinite derivatives of continuous functions
Z. Zieleźny (1964)
Studia Mathematica
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Z. Zieleźny (1964)
Studia Mathematica
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Z. Zieleźny (1964)
Studia Mathematica
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Roman Sikorski (1961)
Studia Mathematica
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Anna Cichocka (1998)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Raimond A. Struble (1981)
Colloquium Mathematicae
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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................................................................................
Jasson Vindas, Ricardo Estrada (2007)
Studia Mathematica
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We study the class of distributions in one variable that have distributional lateral limits at every point, but which have no Dirac delta functions or derivatives at any point, the "distributionally regulated functions." We also consider the related class where Dirac delta functions are allowed. We prove several results on the boundary behavior of functions of two variables F(x,y), x ∈ ℝ, y>0, with F(x,0⁺) = f(x) distributionally, both near points where the distributional point value...
Z. Zieleźny (1964)
Studia Mathematica
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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...
Pilipović, Stevan (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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