## Linear Operators: Spectral theory |

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Page 1047

But , even if 2 ( - x ) + - 2 ( x ) , it may still happen ( for n > l , but not for n = 1 ) that

the hypersurface integral of 2 over the hypersurface of the unit

example for n = 2 is the important integral ptoop too f ( w ) du dr J - 01 - 0 ( 2 - w )

...

But , even if 2 ( - x ) + - 2 ( x ) , it may still happen ( for n > l , but not for n = 1 ) that

the hypersurface integral of 2 over the hypersurface of the unit

**sphere**is zero . Anexample for n = 2 is the important integral ptoop too f ( w ) du dr J - 01 - 0 ( 2 - w )

...

Page 1048

If the hypersurface integral of 2 over the hypersurface of the unit

then , whether 2 is odd or not , ( 4 ) defines a bounded mapping of L , ( En ) into

itself for 1 < p < oo . This statement , which is valid under mild smoothness ...

If the hypersurface integral of 2 over the hypersurface of the unit

**sphere**is zero ,then , whether 2 is odd or not , ( 4 ) defines a bounded mapping of L , ( En ) into

itself for 1 < p < oo . This statement , which is valid under mild smoothness ...

Page 1735

Let ļ in CO ( E " ) be identically equal to 1 in a neighborhood of the unit closed

to show that / U is in H ( k + 1 ) ( UI ) for some neighborhood U of the origin . We

see ...

Let ļ in CO ( E " ) be identically equal to 1 in a neighborhood of the unit closed

**sphere**in E " and identically zero outside the**sphere**of radius 2 in E " . We wishto show that / U is in H ( k + 1 ) ( UI ) for some neighborhood U of the origin . We

see ...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

11 other sections not shown

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