## Studies in applied mathematics: a volume dedicated to Irving Segal |

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### Contents

A Remark on the Polymer Problem in Four Dimensions | 3 |

Propagation of Obstructions to Smooth Solutions of | 11 |

Functional Calculi for Pseudodifferential Operators II | 27 |

Copyright | |

28 other sections not shown

### Common terms and phrases

adjoint assume Banach algebra Banach space belongs C*-algebras Cartan subgroup Cauchy problem close to F closed derivation closure commutative conclude consider constant continuous dependence converges define Definition denote diffeomorphism differential operators du/dt ebxu elements elliptic estimate existence theorem finite follows given global Hence homomorphism Hs n L2 Hypothesis implies inequality integral intersects irreducible Irving Segal Korteweg-de Vries equation L2 norm Lemma linear map Math MATHEMATICS SUPPLEMENTARY STUDIES Mk(R Mk(V Moreover neighborhood nonlinear norm obtain open subset operator in H°(V pj(x Proc proof of Theorem properties prove pseudodifferential operators q>2 have support Remark representation restriction satisfies scattering theory Schwartz space Section self-adjoint self-adjoint operator semigroup sequence SJ(R Sobolev spaces solution to G subspace supp support contained Suppose Theorem 4.1 unitary vanishing of infinite wave equations weakly well-posedness zero