## Linear Operators: Spectral theory |

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Page 891

scalar

scalar

**function**with respect to the operator valued set**function**E. In the present chapter we shall only integrate bounded**functions**; and so the following discussion of the integral will be restricted to that case .Page 1178

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

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

**functions**into the ... Let M be the mapping in L ( 12 ) which maps the vector - valued**function**whose nth component has the Fourier ...Page 1645

If we let 4 be its closure , we find that D ( 1 ) contains nondifferentiable

If we let 4 be its closure , we find that D ( 1 ) contains nondifferentiable

**functions**. ... we should be able to define One On for every**function**, differentiable or not , and irrespective of whether On Of belongs to L2 ( E2 ) or not .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Miscellaneous Applications | 937 |

Compact Groups | 945 |

Copyright | |

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