Author | Lyubich, Yurii I. author |
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Title | Introduction to the Theory of Banach Representations of Groups [electronic resource] / by Yurii I. Lyubich |
Imprint | Basel : Birkhรคuser Basel, 1988 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-9169-1 |
Descript | X, 224 p. online resource |
1 โ Elements of Spectral Theory -- 1. Integration of vector-valued functions -- 2. Linear operators in Banach space -- 3. Spectrum and resolvent of linear operators -- 4. Invariant subspaces -- 5. Commutative Banach algebras -- 2 โ Topological Groups and Semigroups -- 1. Topological groups -- 2. Topological semigroups -- 3. Invariant measures and means -- 3 โ Elements of General Representation Theory -- 1. Actions and representations -- 2. Decomposition of representations -- 3. Finite dimensional representations -- 4. The representation spectrum of an Abelian semigroup -- 4 โ Representations of Compact Semigroups -- 1. Harmonic analysis on compact groups -- 2. Banach representations of compact groups and semigroups -- 3. Almost periodic representations and functions -- 4. Nonnegative a.p. representations -- 5 โ Representations of Locally Compact Abelian Groups -- 1. Elements of harmonic analysis -- 2. Representations with separable spectrum -- References -- Books -- Journal Articles