## Linear Operators: Spectral theory |

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Page 1310

Then the boundary conditions are real, and there is eractly one

(r—A) p = 0 square-integrable at a and satisfying the boundary conditions at a,

and exactly one

...

Then the boundary conditions are real, and there is eractly one

**solution**p(t, A) of(r—A) p = 0 square-integrable at a and satisfying the boundary conditions at a,

and exactly one

**solution**p(t, A) of (t–A) p = 0 square-integrable at b and satisfying...

Page 1472

least one such

to - Ao satisfy B. By the remark (a) made above, it then follows that for any two ...

least one such

**solution**must exist. On the other hand, if two linearly independent**solutions**of to - Ao satisfy the boundary condition B, it follows that all**solutions**ofto - Ao satisfy B. By the remark (a) made above, it then follows that for any two ...

Page 1632

and imaginary parts of a

]|a's P 0} are the real parts of a pair of analytic functions of the complex variable z

= a1-i-ia's defined in that region. Hence, a

and imaginary parts of a

**solution**of the equation Vof = 0 in the region R = {[a'i, as]|a's P 0} are the real parts of a pair of analytic functions of the complex variable z

= a1-i-ia's defined in that region. Hence, a

**solution**of W*f = 0 in R is an analytic ...### What people are saying - Write a review

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### Contents

SPECTRAL THEORY | 858 |

868 | 885 |

Miscellaneous Applications | 937 |

Copyright | |

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