## Linear Operators: Spectral theory |

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Page 1303

Clearly B ( f ) = 0 for those | which vanish in a

boundary value for ī at a . To prove the converse , let B be a boundary value at a .

Choose a function h in Co ( I ) which is identically equal to one in a

...

Clearly B ( f ) = 0 for those | which vanish in a

**neighborhood**of a . Thus B is aboundary value for ī at a . To prove the converse , let B be a boundary value at a .

Choose a function h in Co ( I ) which is identically equal to one in a

**neighborhood**...

Page 1656

Let k be an integer and let F be a distribution in I . ( i ) If each point p in I has a

. ( ii ) If I is compact and each point p in I has a

Let k be an integer and let F be a distribution in I . ( i ) If each point p in I has a

**neighborhood**U , contained in I such that F | U , € A ( k ) ( Un ) , then Fe A ( k ) ( I ). ( ii ) If I is compact and each point p in I has a

**neighborhood**U , such that F | UI ...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 ...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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