## Classical analysis: proceedings of the 8th symposium, 18-24 September 1995, Kazimierz Dolny, Poland |

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### Contents

On the moduli of holomorphic functions that are smooth | 7 |

On the space of random temoered distributions having | 13 |

From the definition of a Hilbert space to the proof of spec | 49 |

Copyright | |

7 other sections not shown

### Common terms and phrases

absolutely continuous spectrum admissible weight algebra automorphism Bergman space bounded operators brownian distributions called class Cm closed subspace coherent compact set condition consequence convergent Corollary defined Definition denote domain equations equivalent exists finite following theorem formula Fourier Fubini theorem G L+ gaussian given group of unitary group U1 Haar integral Haar measure hence Hermite coefficients Hermite functions Hermite polynomials Hilbert space Ig(f implies inequality isometry Lemma Let as consider locally compact Math Mathematics maximal ideal Moreover neighbourhood obtain orthogonal outer function p-Jacobian projection-valued measure Proof Let Proposition prove quantum random Schwartz distribution random variable result right Haar integral satisfies scalar product space H spectral measure spectral properties spectral theorem stair functions subset supp tempered distributions tempered measure topology unitary operators unitary representation vector space verified