TY - BOOK AU - Lang,Serge TI - Real and Functional Analysis T2 - Graduate Texts in Mathematics Series SN - 9781461208976 AV - QA299.6-433 PY - 1993/// CY - New York, NY PB - Springer New York KW - Mathematical analysis KW - Electronic books N1 - Graduate Texts in Mathematics -- Real and Functional Analysis Third Edition -- Copyright -- Foreword -- Contents -- PART ONE General Topology -- CHAPTER I Sets -- CHAPTER II Topological Spaces -- CHAPTER III Continuous Functions on Compact Sets -- PART TWO Banach and Hilbert Spaces -- CHAPTER IV Banach Spaces -- CHAPTER V Hilbert Space -- PART THREE Integration -- CHAPTER VI The General Integral -- CHAPTER VII Duality and Representation Theorems -- CHAPTER VIII Some Applications of Integration -- CHAPTER IX Integration and Measures on Locally Compact Spaces -- CHAPTER X Riemann-Stieltjes Integral and Measure -- CHAPTER XI Distributions -- CHAPTER XII Integration on Locally Compact Groups -- PART FOUR Calculus -- CHAPTER XIII Differential Calculus -- CHAPTER XIV Inverse Mappings and Differential Equations -- PART FIVE Functional Analysis -- CHAPTER XV The Open Mapping Theorem, Factor Spaces, and Duality -- CHAPTER XVI The Spectrum -- CHAPTER XVII Compact and Fredholm Operators -- CHAPTER XVIII Spectral Theorem for Bounded Hermitian Operators -- CHAPTER XIX Further Spectral Theorems -- CHAPTER XX Spectral Measures -- PART SIX Global Analysis -- CHAPTER XXI Local Integration of Differential Forms -- CHAPTER XXII Manifolds -- CHAPTER XXIII Integration and Measures on Manifolds -- Bibliography -- Table of Notation -- Index UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3073852 ER -