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UNINA9910480685103321 |
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Autore |
Ostaszewski Krzysztof <1957-> |
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Titolo |
Henstock integration in the plane / / Krzysztof M. Ostaszewski |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1986 |
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©1986 |
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ISBN |
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Descrizione fisica |
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1 online resource (118 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 63, Number 353 |
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Disciplina |
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Soggetti |
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Henstock-Kurzweil integral |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 1986, volume 63, number 353 (first of 3 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Table of Contents""; ""Introduction""; ""Chapter 1: Henstock integral""; ""Derivation bases""; ""Derivatives""; ""Henstock integral""; ""Variation""; ""Variational integral""; ""Various ways to define the Henstock integral""; ""Additive bases""; ""Chapter 2: Derivation bases on the plane""; ""Perron integral""; ""Specific bases on the plane""; ""Basic properties of the bases defined""; ""Absolute integration""; ""Lebesgue integral""; ""Comparison of nonabsolute integrals""; ""Differentiation of integrals""; ""Continuity of interval functions""; ""Chapter 3: Generalized Fubini Theorem"" |
""Product bases""""Fubini Theorem""; ""Corollaries to the Fubini Theorem""; ""Tolstov's counterexample""; ""Chapter 4: The integral of Kempisty""; ""Functions absolutely continuous in the sense of Kempisty""; ""Burkill integral""; ""Properties of derivatives and the Burkill integral""; ""Semi-absolutely-continuous functions""; ""The relationship between the Kempisty integral and the Î?[sub(2)]-integral""; ""Lebesgue integrability on a nontrivial subinterval""; ""The integrals of Mawhin and Pfeffer""; ""Chapter 5: Approximate derivation bases""; ""Density topologies on the plane"" |
""Filtered bases""""Approximate bases""; ""The integral of Chelidze and Dzhvarsheishvili""; ""The relationship of the CD-integral to the other integrals""; ""Bibliography"" |
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