## Linear Operators: Spectral theory |

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Page 1290

40 ) is formally self adjoint provided only that the

same way , the ... Then the leading

, an is real , while if n is odd , an is pure imaginary . If n is even , then tı = ( d / dt ) ...

40 ) is formally self adjoint provided only that the

**coefficients**Pi are real . In thesame way , the ... Then the leading

**coefficient**in t * is ( - 1 ) " ān ; thus , if n is even, an is real , while if n is odd , an is pure imaginary . If n is even , then tı = ( d / dt ) ...

Page 1486

Equations with periodic

mechanical theory of solid crystals ) have a ... Let t have the form m idli 2 a , ( 1 ) (

) , and suppose that all the

.

Equations with periodic

**coefficients**( which are fundamental in the quantum -mechanical theory of solid crystals ) have a ... Let t have the form m idli 2 a , ( 1 ) (

) , and suppose that all the

**coefficients**a ; are periodic and have the same period.

Page 1730

For partial differential operators in R with

may state the following analogue of the Gårding inequality , Lemma 10 . As to its

proof , we need only remark that since , as has been pointed out above , only the

...

For partial differential operators in R with

**coefficients**belonging to C ( R ) , wemay state the following analogue of the Gårding inequality , Lemma 10 . As to its

proof , we need only remark that since , as has been pointed out above , only the

...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

15 other sections not shown

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