## Linear Operators: Spectral theory |

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Page 1297

We shall also be able to locate

points of the interval , and to represent

form . The fundamental definitions are as follows : 17 DEFINITION . Let t be a

formal ...

We shall also be able to locate

**boundary values**at one or another of the endpoints of the interval , and to represent

**boundary values**in a concrete analyticalform . The fundamental definitions are as follows : 17 DEFINITION . Let t be a

formal ...

Page 1298

20 of a

the adjoint of To ( t ) . Q . E . D . The next theorem gives a basic property of

sometimes ...

20 of a

**boundary value**for T . ( T ) . Proof . Recall from Theorem 10 that T ( T ) isthe adjoint of To ( t ) . Q . E . D . The next theorem gives a basic property of

**boundary values**of differential operators . For the sake of simplicity we shallsometimes ...

Page 1307

D2 , D , are

functional A defined by the formula Ā ( f ) = Alf ) is also a

**boundary values**C1 , C2 , D2 , D , where C1 , C , are**boundary values**at a andD2 , D , are

**boundary values**at b ... the formation of complex conjugates , so thefunctional A defined by the formula Ā ( f ) = Alf ) is also a

**boundary value**for t .### 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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