## Linear Operators: Spectral theory |

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Page 1305

If B ( t ) = 0 is not a

, the equation B ( f ) = 0 may be written as B ( 0 ) = B2 ( 1 ) , where B , and B , are

non - zero

If B ( t ) = 0 is not a

**boundary**condition either at a or at b ( so that , by Theorem 19, the equation B ( f ) = 0 may be written as B ( 0 ) = B2 ( 1 ) , where B , and B , are

non - zero

**boundary**values at a and b respectively ) , then B ( f ) = 0 is said to ...Page 1307

D1 , D , are

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

t .

**boundary**values C1 , C2 , D2 , D , where C1 , C , are**boundary**values at a andD1 , D , are

**boundary**values at b , such ... formation of complex conjugates , sothe functional A defined by the formula Ā ( f ) = A ( F ) is also a

**boundary**value fort .

Page 1310

imposition of a separated symmetric set of

the

- 2 ) 9 = 0 square - integrable at a and satisfying the

imposition of a separated symmetric set of

**boundary**conditions . Let IN # 0 . Thenthe

**boundary**conditions are real , and there is exactly one solution y ( t , 2 ) of ( 1- 2 ) 9 = 0 square - integrable at a and satisfying the

**boundary**conditions at a ...### What people are saying - Write a review

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

### Other editions - View all

Linear Operators, Part 1 Nelson Dunford,Jacob T. Schwartz,William G. Bade,Robert G. Bartle Snippet view - 1958 |

### Common terms and phrases

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