Introduction to Modern Analysis
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ISBN-13:
9780199203154
Veröffentl:
2006
Erscheinungsdatum:
01.08.2006
Seiten:
448
Autor:
Shmuel Kantorovitz
Gewicht:
676 g
Format:
234x156x24 mm
Serie:
8, Oxford Graduate Texts in Mathe
Sprache:
Englisch
Beschreibung:
This text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure theory, Functional Analysis, Bannach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis and contain over 120 end of chapter exercises. the final two chapters apply theory to applications in Probability Theory and Partial Differential Equations.
Preface; 1. Measures; 2. Construction of measures; 3. Measure and topology; 4. Continuous linear functionals; 5. Duality; 6. Bounded operators; 7. Banach algebras; 8. Hilbert spaces; 9. Integral representation; 10. Unbounded operators; Application I:Probability; Application II: Distributions; Bibliography; Index
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