## Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |

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Page 1428

Then I'm is infinitely differentiable , and vanishes together with its

< 0 and for t > m . Furthermore , Im coincides with f for 1 < t < m - 1 , and hence

the function tim - 1 ) is identically zero in t except on the intervals m - 1 sism and 0

...

Then I'm is infinitely differentiable , and vanishes together with its

**derivatives**for t< 0 and for t > m . Furthermore , Im coincides with f for 1 < t < m - 1 , and hence

the function tim - 1 ) is identically zero in t except on the intervals m - 1 sism and 0

...

Page 1687

It is clear from Lemma 3.6 that every

belongs to L , ( En ) . Translating En sufficiently far to the right along the x - axis (

cf. Lemmas 3.47 and 3.48 ) , we may assume without loss of generality that U is ...

It is clear from Lemma 3.6 that every

**derivative**of h ; F of order not more than kbelongs to L , ( En ) . Translating En sufficiently far to the right along the x - axis (

cf. Lemmas 3.47 and 3.48 ) , we may assume without loss of generality that U is ...

Page 1727

In the same way we see , using ( 6 ) and ( 7 ) , that SL9 vanishes together with all

its

Sk - j . It follows that if TL9 is defined by TL9 = SL91 , then Tį maps C. ° ( 1. ) ...

In the same way we see , using ( 6 ) and ( 7 ) , that SL9 vanishes together with all

its

**derivatives**of order at most į if one of x1 , is zero and --- k 5 min ( L ) S max ( L )Sk - j . It follows that if TL9 is defined by TL9 = SL91 , then Tį maps C. ° ( 1. ) ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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