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American Mathematical Society

Colloquium Publications

Volume 31

American Mathematical Society
Providence, Rhode Island

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Functional
Analysis and
Semi-Groups

Einar Hille
Ralph S. Phillips

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Document Outline

Frontmatter
- Title
- Copyright
- Dedication
- Forward to the revised edition
- Contents
Chapter I Abstract Spaces
Chapter II Linear Transformations
Chapter III Vector-Valued Functions
Chapter IV Banach Algebras
Chapter V Analysis in a Banach Algebra
Chapter VI Laplace Integrals and Binomial Series
Chapter VII Subadditive Functions
Chapter VIII Semi-Modules
Chapter IX Addition Theorems in a Banach Algebra
Chapter X Semi-Groups in the Strong Topology
Chapter XI Generator and Resolvent
Chapter XII Generation of Semi-Groups
Chapter XIII Perturbation Theory
Chapter XIV Adjoint Theory
Chapter XV Operational Calculus
Chapter XVI Spectral Theory
Chapter XVII Holomorphic Semi-Groups
Chapter XVIII Applications to Ergodic Theory
Chapter XIX Translations and Powers
Chapter XX Trigonometric Semi-Groups
Chapter XXI Semi-Groups in $L_p(-\infty, \infty)$
Chapter XXII Semi-Groups in Hilbert Space
Chapter XXIII Miscellaneous Applications
Chapter XXIV Notes on Banach Algebras
Chapter XXV Lie Semi-Groups
Chapter XXVI Functions on Vectors to Vectors
Bibliography and Index

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