## Linear Operators: Spectral theory |

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Page 1310

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

of ( 1 - 2 ) 9 = 0 square - integrable at a and satisfying the boundary conditions at

a , and exactly one

Then the 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 , and exactly one

**solution**y ( t , 2 ) of ( T - 2 ) 4 = 0 square - integrable at b and ...Page 1521

Putting Yo = 1 / 2 + i so that 20 = 1 + i , we see that the equation ( Li - of has one

00 . The

Putting Yo = 1 / 2 + i so that 20 = 1 + i , we see that the equation ( Li - of has one

**solution**of the order of t - l - i as t → 00 and another which behaves like ti as t →00 . The

**solution**at 20 = 1 - i is exactly similar . Thus , by Theorem XII . 4 .Page 1553

Nelson Dunford, Jacob T. Schwartz. G3 Suppose that the operator t has the

property that for some À the derivative of every square - integrable

equation ( 1 - 1 ) } = 0 ) is bounded . Prove that t has no boundary values at

infinity .

Nelson Dunford, Jacob T. Schwartz. G3 Suppose that the operator t has the

property that for some À the derivative of every square - integrable

**solution**of theequation ( 1 - 1 ) } = 0 ) is bounded . Prove that t has no boundary values at

infinity .

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

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