## Illinois Journal of Mathematics, Volume 7 |

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### Contents

Fuchs W H J Proof of a conjecture of G Polya concerning | 8 |

Arens Richard Representation of moments by integrals 609614 | 24 |

Granirer E On amenable semigroups with a finitedimensional | 32 |

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### Common terms and phrases

abelian abelian group algebra anticommutative assume Banach base point Borel Borel set bounded Brownian motion cochain compact completes the proof condition contains converges Corollary countable decomposition defined Definition denote dense dimension elements Em(X exists finite groups follows function functor Grassmann manifold hence homomorphism homotopy equivalence homotopy groups idempotent idempotent factors identity implies indecomposable induced infinitely divisible infinitely divisible distribution integer IP-algebra irreducible isoclinic isoclinic sphere isometric isomorphic left amenable left ideal Lemma linear martingale Math matrix measure minimal module multiplicative n-dimensional subspaces nonnegative nonzero norm orthogonal polynomial proof of Theorem Proposition prove real numbers result right ideal rows S X S sample paths satisfying Section semigroup sequence spectra subgroup subset subspaces of F Suppose Theorem Theorem 2.1 topological totally geodesic totally geodesic submanifold vector weak homotopy equivalence zero