## Linear Operators: Spectral theory |

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Page 1527

To deal with the confluent hypergeometric

some of the theory of

Lf = ( d / dz ) 2f + p ( z ) ( d / dz ) f + 9 ( 2 ) } = 0 to have an irregular singularity of ...

To deal with the confluent hypergeometric

**equation**we must consequently usesome of the theory of

**equations**with ... It is most convenient to take the**equation**Lf = ( d / dz ) 2f + p ( z ) ( d / dz ) f + 9 ( 2 ) } = 0 to have an irregular singularity of ...

Page 1528

The first of these algebraic

of the differential

differential

irregular ...

The first of these algebraic

**equations**, which is simply the characteristic**equation**of the differential

**equation**, is quadratic ... f being a solution of the originaldifferential

**equation**Lf = 0 , we find that L ' f ' has rational coefficients , and anirregular ...

Page 1553

G3 Suppose that the operator t has the property that for some À the derivative of

every square - integrable solution of the

Prove that t has no boundary values at infinity . G4 ( Wintner ) Suppose that the ...

G3 Suppose that the operator t has the property that for some À the derivative of

every square - integrable solution of the

**equation**( 1 - 1 ) } = 0 ) is bounded .Prove that t has no boundary values at infinity . G4 ( Wintner ) Suppose that the ...

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### Contents

IX | 859 |

Eigenvalues and Eigenvectors | 903 |

Spectral Representation | 911 |

Copyright | |

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