## Linear Operators: Spectral theory |

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Page 1527

The same process applied to the hypergeometric

2 ) satisfies the confluent hypergeometric

dz2 This

...

The same process applied to the hypergeometric

**equation**[ 1 ] shows that ( a , y ;2 ) satisfies the confluent hypergeometric

**equation**d2 ( 2 ) d + ( y - 2 ) 0 - a0 0 .dz2 This

**equation**has singularities at zero and infinity . The singularity at zero is...

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**Ls = 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

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

...

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

...

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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