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Record Nr. |
UNINA9910812515803321 |
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Autore |
Solomon Donald William <1941-> |
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Titolo |
Denjoy integration in abstract spaces / / by Donald W. Solomon |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 1969 |
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ISBN |
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Descrizione fisica |
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1 online resource (75 p.) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 85 |
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Soggetti |
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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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Nota di bibliografia |
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Bibliography: pages 68-69. |
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Nota di contenuto |
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""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I. BASIC THEOREMS, DEFINITIONS AND NOTATION""; ""1. The Domain and Range""; ""2. The Fundamental Sets""; ""3. Two Fundamental Principles""; ""4. Bounded Variation and Absolute Continuity""; ""5. The Burkill Integral""; ""6. Measurability and Differentiation""; ""7. Romanovski's Integral""; ""8. Lebesgue Integrals""; ""CHAPTER II. A GENERAL CLASS OF INTEGRALS""; ""1. The General D-Integral""; ""2. Some Specific Integrals""; ""CHAPTER III. LEBESGUE INTEGRABILITY IN SPECIAL SPACES""; ""1. Uniformly Convex Spaces""; ""2. Weakly Complete Spaces"" |
""3. Banach Spaces with Separable Duals""""CHAPTER IV. DENJOY INTEGRATION OF FUNCTIONS WITH SPECIAL DOMAIN AND RANGE""; ""1. Weakly Complete Spaces""; ""2. Spaces with Separable Conjugate""; ""3. Weakly Complete Spaces with Separable Dual""; ""4. Finite-Dimensional Banach Spaces""; ""5. Real-Valued Functions of a Real Variable""; ""CHAPTER V. EXAMPLES AND REMARKS""; ""REFERENCES"" |
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