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Functional Analysis and Semigroups : Colloquium Publications - Einar Hille

Functional Analysis and Semigroups

By: Einar Hille, R.S. Phillips

Paperback

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Functional Analysis: Abstract spaces Linear transformations
Vector-valued functions Banach algebras
General properties Analysis in a Banach algebra
Laplace integrals and binomial series
Basic Properties of Semi-Groups: Subadditive functions Semi-modules
Addition theorem in a Banach algebra Semi-groups in the strong topology
Generator and resolvent Generation of semi-groups
Advanced Analytical Theory of Semi-Groups: Perturbation theory Adjoint theory
Operational calculus Spectral theory Holomorphic semi-groups Applications to ergodic theory
Special Semi-groups and Applications: Translations and powers
Trigonometric semi-groups Semi-groups in $L_p(-\infty, \infty)$ Semi-groups in Hilbert space
Miscellaneous applications
Extensions of the theory: Notes on Banach algebras
Lie semi-groups Functions on vectors to vectors
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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