## Linear Operators: Spectral theory |

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Page 891

scalar

chapter we shall only integrate bounded

discussion of the integral will be restricted to that case . Let Ebe a field of subsets

of a set ...

scalar

**functions**with respect to the operator valued set**function**E . In the presentchapter we shall only integrate bounded

**functions**; and so the followingdiscussion of the integral will be restricted to that case . Let Ebe a field of subsets

of a set ...

Page 1178

It is plain from Plancherel ' s theorem that K is a bounded mapping of the space L

, of scalar - valued

which maps the vector - valued

It is plain from Plancherel ' s theorem that K is a bounded mapping of the space L

, of scalar - valued

**functions**into the space L2 ... Let M be the mapping in L ( 12 )which maps the vector - valued

**function**whose nth component has the Fourier ...Page 1645

One might expect the answer to be “ those ( non - differentiable )

that Og 0 , 1 belongs to L2 ( E2 ) . " In order for such an answer to make sense , it

is desirable that we should be able to define og O , for every

One might expect the answer to be “ those ( non - differentiable )

**functions**f suchthat Og 0 , 1 belongs to L2 ( E2 ) . " In order for such an answer to make sense , it

is desirable that we should be able to define og O , for every

**function**...### What people are saying - Write a review

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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