Kooperativer Bibliotheksverbund

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Format: IX, 385 S.

ISBN: 0-12-348050-7

Series Statement: Pure and applied mathematics 13

Language: English

Subjects: Mathematics

Keywords: Integrationstheorie ; Integration

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Format: X, 342 S.

Language: English

Author information: Hildebrandt, Franz, 1909-1985.

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Format: XI, 179 S.

Edition: 2nd ed.

Language: English

Author information: Wesley, Charles, 1707-1788.

Author information: Hildebrandt, Franz, 1909-1985

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Format: XXVII, 98 S.

Edition: Nachdr. d. Ausg. Cambridge 1946

Language: English

Subjects: German Studies , Theology

Keywords: 1497-1560 Melanchthon, Philipp

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Format: VIII, 533 p. , online resource.

ISBN: 9783642859977

Note: Time Dependent Evolution Equations in a Locally Convex Space -- On a Map from a Function Space to a Hyperspace -- Invariant Metrics -- Über den Index abgeschlossener Operatoren in Banachräumen. II. -- Complementary Inequalities. III: Inequalities Complementary to Schwarz’s Inequality in Hilbert Space -- Von Klassen konvexer Körper erzeugte Hilberträume -- Kommutative symmetrische Operatorenalgebren in Pontryaginschen Räumen ?k -- Invariante positiv definite Klassenfunktionen und ergodische Maße -- Integration und holomorphe Funktionen in lokalbeschränkten Räumen -- Eine Mandelbrojtsche Formel zur Bestimmung von Punkten aus dem Spektrum eines beschränkten Operators -- Quasi-interior Points and the Extension of Linear Functionals -- Eindeutige Hahn-Banach-Erweiterungen -- Équations Hyperboliques Non-Strictes: Contre-Exemples, du Type de Giorgi, aux Théorèmes d’Existence et d’Unicité -- Ratios of Laplace Transforms, Mikusi?ski Operational Calculus -- Heredity of Tensor Products of Topological Algebras -- Wave Operators and Similarity for Some Non-selfadjoint Operators -- Nonlinear Operators in Banach Spaces -- Über die Einbettung der nuklearen Räume in (8)?. -- Über das Randspektrum positiver Operatoren -- A Spectral Theory for Certain Operators on a Direct Sum of Hilbert Spaces -- Variations on a Theme by Mikhlin -- Some Examples of Normed Köthe Spaces -- On a Generalization of the Köthe Coordinated Spaces -- A Representation Theorem for Positive Functionals on Involution Algebras.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9783642859991

Language: English

DOI: 10.1007/978-3-642-85997-7

URL: http://dx.doi.org/10.1007/978-3-642-85997-7

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Format: 1 online resource (399 pages)

ISBN: 1-281-74261-9 , 9786611742614 , 0-08-087325-1

Series Statement: Pure and applied mathematics: a series of monographs and textbooks ; 13

Note: Front Cover; Introduction to The Theory of Integration; Copyright Page; Contents; Preface; Chapter I. A General Theory of Limits; 1. Directed Sets . The Moore-Smith General Limit; 2. Properties of Limits; 3. Values Approached; 4. Extreme Limits; 5. Directed Sets of Sequential Character; 6. General Sums; 7. Double and Iterated Limits; 8. Filters; 9. Linear Spaces; Chapter II.Riemannian Type of Integration; 1. Functions of Intervals; 2. Integrals of Functions of Intervals; 3. Existence Theorems; 4. The Integral of an Interval Function as a Function of Intervals , 5. Integral as a Function of the Interval Function; 6. Functions of Bounded Variation; 7. Continuity Properties of Functions of Bounded Vatiation; 8. The Space of Functions of Bounded Variation; 9. Riemann-Stieltjes integrals; 10. Existence Theorems for Riemann-Stieltjes Integrals; 11. Properties of Riemann-Stieltjes Integrals; 12. Classes of Functions Determined by Stieltjes Integrals; 13. Riemann-Stieltjes Integrals with Respect to Functions of Bounded Variation. Existence Theorems; 14. Properties of ?ab fdg with g of Bounded Variation on (a, b); 15. Convergence Theorems , 16. The Integral as a Function of the Upper Limit; 17. The Integral as a Function of a Parameter; 18. Linear Continuous Functionals on the Space of Continuous Functions; 19. Additional Definitions of Riemann Integrals of Stieltjes Type; 20. Stieltjes Integrals on Infinite Intervals; 21. A Linear Form on the Infinite Interval; Chapter III. Integrals of Riemann Type of Functions of Intervals In Two or Higher Dimension; 1. Interval Functions; 2. Subdivisions; 3. Integrals; 4. Functions of Bounded Variation in Two Dimensions; 5. Continuity Properties , 6. The Space of Functions of Bounded Variation in Two Variables: BV; 27. Functions of Bounded Variation According to Fréchet; 8. Riemann-Stieltjes Integrals in Two Variables; 9. Stieltjes Integrals in Two Dimensions with Respect to Functions of Bounded Variation; 10. Relation between Double and Iterated Integrals; 11. Double Integrals with Respect to Functions of Fréchet Bounded Variation; Chapter IV. Sets; 1. Fundamental Operations; 2. Characteristic Functions; 3. Properties of Classes of Sets; 4. Extensions of Classes of Sets Relative to Properties; Chapter V. Content and Measure , 1. Content of a Linear Bounded Set; 2. Properties of the Content Functions; 3. Borel Measurability; 4. General Lebesgue Measure of Linear Sets; 5. Lower Measure; 6. Measurability; 7. Examples of Measurable Sets; 8. Sets of Zero Measure; 9. Additional Properties of Upper and Lower Measure; 10. Additional Conditions for Measurability; 11. The Function a ( x ) I s Unbounded; 12. Lebesgue Measure; 13. Relation between a-Measure and Lebesgue Measure; 14. Relations between Classes of a-Measurable Sets; 15. Measurability of Sets in Euclidean Space of Higher Dimension; 16. Some Abstract Measure Theory; 17. Upper Semiadditive Functions , English

Additional Edition: ISBN 0-12-348050-7

Language: English