## Linear Operators: Spectral theory |

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Page 1236

B ; ( x ) = 0 , i = 1 , . . . , k , if the boundary values B ; are all linear combinations of

the Cy . If each of two sets of

**boundary conditions**C ; ( x ) = 0 , j = 1 , . . . , m , is said to be stronger than the setB ; ( x ) = 0 , i = 1 , . . . , k , if the boundary values B ; are all linear combinations of

the Cy . If each of two sets of

**boundary conditions**is stronger than the other ...Page 1305

If B ( t ) = 0 is not a

, the equation B ( f ) = 0 may be written as B ( 0 ) ... A set of

said to be separated if it ( or , more generally , some set of

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 ) ... A set of

**boundary conditions**issaid to be separated if it ( or , more generally , some set of

**boundary conditions**...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

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