## Lecture Notes in Mathematics, Volume 140 |

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### Contents

Professor HARISHCHANDRA Institute for Advanced Study | 1 |

Professor RICHARD V KADISON University of Pennsylvania | 8 |

Professor IRVING E SEGAL Massachusetts Institute of Technology | 30 |

Copyright | |

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abstract Wiener measure abstract Wiener space Analysis analytic anti-symmetric field anti-symmetric process Applications Borel bounded operator C*-algebra Cauchy commutation compact convex corresponding countably additive extension cylinder set measure defined denote differential equation dimensional potential theory dynamics energy equilibrium ergodic exists exp-itH finite dimensional projection finite dimensional subspace follows free fields Gauss measure Gibbs phase rule given group of automorphisms Hamiltonian Hence Hilbert space Hilbert-Schmidt infinite interaction invariant lattice Lebesgue measure Lecture Lemma limit linear Math measurable norm O.N. basis observable one-parameter group operators on f particles physical positive-energy field potential theory probability measure problem Proof psgp pure thermodynamic phase quantized quantum field theory real number relativistic Seiten self-adjoint operators semi-norm Seminar sequence solution space H space-time spectral Statistical Mechanics strongly continuous subgroup subset symmetric tends Theorem topology trace class unique unitary group x e H