## Algebras in analysis: proceedings of an instructional conference organized by the London Mathematical Society and the University of BirminghamJohn Hunter Williamson, London Mathematical Society, University of Birmingham |

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### Contents

Analyticity on Compact Abelian Groups | 1 |

Groups with Archimedean Duals | 17 |

Analyticity | 28 |

Copyright | |

25 other sections not shown

### Common terms and phrases

abelian groups abelian von Neumann assume axiom b-algebra Banach space Borel bounded set bounded structure boundedness C*-algebra Choquet class Cx closed cocycle coefficients cofunctor cohomology theory commutative Banach algebra compact spaces completant contains continuous functions converges Corollary defined Definition denote direct limit dual element equiregular equivalent fact factor finite follows Fourier functor Gelfand transform Hence holomorphic functional calculus homomorphism idempotent identity implies integral invariant subspace inverse isomorphism K-theory Lemma linear functional linear map locally compact loop Math maximal ideal maximal ideal space module morphism multiplication neighbourhood Neumann algebra Neumann subalgebra non-null norm operators orthogonal measure pointed space positive projection proof Proposition prove Qn(A quotient reduced cohomology refining topologies representation result Section self-adjoint semigroup sequence simply invariant subspace sp(a spectral spectrum strong-operator subgroup subset summable topology trigonometric polynomials unit unitary function vanishes vector space zero