## Linear Operators, Part 2 |

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Page 1678

Let ý be a second function in C ( I ) such that y ( x ) = 1 for x in a

Kı . Then yo - yo vanishes in a

yo ...

Let ý be a second function in C ( I ) such that y ( x ) = 1 for x in a

**neighborhood**ofKı . Then yo - yo vanishes in a

**neighborhood**of Kn C ( F ) , and vanishes in a**neighborhood**of C ( F ) - K since g vanishes in the complement of K . Hence yo -yo ...

Page 1733

Q . E . D . Lemma 18 enables us to use the method of proof of Theorem 2 in the

out in the next two lemmas . 19 LEMMA . Let o be an elliptic formal partial ...

Q . E . D . Lemma 18 enables us to use the method of proof of Theorem 2 in the

**neighborhood**of the boundary of a domain with smooth boundary . This is carriedout in the next two lemmas . 19 LEMMA . Let o be an elliptic formal partial ...

Page 1734

Let U , C1 , be a bounded

so that there exists a mapping o of U , onto the unit spherical

the origin such that ( i ) q is one - to - one , is infinitely often differentiable , and y ...

Let U , C1 , be a bounded

**neighborhood**of q chosen so small that BU , CE , andso that there exists a mapping o of U , onto the unit spherical

**neighborhood**V ofthe origin such that ( i ) q is one - to - one , is infinitely often differentiable , and y ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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