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Real and Functional Analysis.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lang, Serge
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Springer New York, 1993.
Edición:N.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 DistributionsCHAPTER 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 ManifoldsBibliography; Table of Notation; Index.