## Linear Operators: Spectral operators |

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Page 2063

... S is the one point compactification of N - dimensional Euclidean space RN and

e is the self adjoint spectral measure given in equation ( 11 . 15 ) . We know from

Lemma 9 . 2 that if the elements a , A in A , A ” ,

... S is the one point compactification of N - dimensional Euclidean space RN and

e is the self adjoint spectral measure given in equation ( 11 . 15 ) . We know from

Lemma 9 . 2 that if the elements a , A in A , A ” ,

**respectively**, possess bounded ...Page 2108

Let u (

in order for there to exist a necessarily unique spectral measure on the Baire sets

in X x Y to A such that ( 8 x 0 ) = u ( d ) v ( o ) for all 8 , o , it is necessary and ...

Let u (

**respectively**, v ) be a spectral measure on X (**respectively**, Y ) to A . Thenin order for there to exist a necessarily unique spectral measure on the Baire sets

in X x Y to A such that ( 8 x 0 ) = u ( d ) v ( o ) for all 8 , o , it is necessary and ...

Page 2109

... and D ( Tl ) are scalar . ( c ) The mappings u + - d ? u / dt ? + tau on the spaces

Ø (

distributions ) on the real line are scalar . Thus the Fourier transform ust ) → Se e

...

... and D ( Tl ) are scalar . ( c ) The mappings u + - d ? u / dt ? + tau on the spaces

Ø (

**respectively**, Tl ) of rapidly decreasing C functions (**respectively**, tempereddistributions ) on the real line are scalar . Thus the Fourier transform ust ) → Se e

...

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### Contents

SPECTRAL OPERATORS | 1924 |

An Operational Calculus for Bounded Spectral | 1941 |

Part | 1950 |

Copyright | |

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