## Infinite dimensional harmonic analysis: transactions of a German-Japanese symposium held from October 3rd to 6th, 1995 at the University of Tübingen |

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### Contents

CONTENTS | |

W Hazod The role of harmonic analysis in limit theorems for pro | 17 |

H Heyer Generation and representation of convolution hemi | 32 |

16 other sections not shown

### Common terms and phrases

abelian group amenable association scheme assume Borel bounded variation Brownian motion canonical closed subgroup commutative hypergroup compact abelian group continuous convolution semigroup convergence Corollary corresponding countable cut-off phenomenon defined denote differential discrete group dual group equations equicontinuous equivalent example exists finite Fourier transform given group G Haar measure harmonic analysis Hence Heyer Hilbert space homomorphism hypergroups infinite dimensional integral invariant means L2-spaces Laplacian LCA groups Lemma Let G Levy measure Lie algebra Lie group limit theorem linear operator locally compact groups mapping Markov chain Math metrizable Moreover nilpotent norm nuclear group number operator obtain polynomials probability measures properties Proposition prove quantum random variables random walks reflexive groups resp respect result Riemannian Riesz set satisfying stochastic strongly reflexive structure subalgebra subset subspace symmetric tensor product topological groups topologically isomorphic topology ultraspherical unique unitary representations vector space white noise