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

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Page 890

2x } of T and otherwise let E ( d ) be the sum of all the projections E ( 2 ) for which

lied , then the function E is a ... but in this situation it is necessary to define the

integral appearing in ( vi ) and to define the algebra of scalar

...

2x } of T and otherwise let E ( d ) be the sum of all the projections E ( 2 ) for which

lied , then the function E is a ... but in this situation it is necessary to define the

integral appearing in ( vi ) and to define the algebra of scalar

**functions f**to which...

Page 986

This shows that I2 L and completes the proof of the lemma . Q.E.D. 7 THEOREM .

( Wiener Ly - closure theorem ) . Linear combinations of the translates of a

on ...

This shows that I2 L and completes the proof of the lemma . Q.E.D. 7 THEOREM .

( Wiener Ly - closure theorem ) . Linear combinations of the translates of a

**function f**in L ( R ) are dense in L ( R ) if and only if its transform f does not vanishon ...

Page 1075

13 Show that the conclusion of Exercise 12 remains valid if the condition that f is

in Lil - 00 , +00 ) is replaced by the requirement that f be in L21 - 00 , +00 ) . 14

Show that there exists continuous

that ...

13 Show that the conclusion of Exercise 12 remains valid if the condition that f is

in Lil - 00 , +00 ) is replaced by the requirement that f be in L21 - 00 , +00 ) . 14

Show that there exists continuous

**function f**in L ( -00 , +00 ) L ( -0 , +00 ) suchthat ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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