## Linear Operators: Spectral theory |

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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 1529

The confluent hypergeometric

0 , so that $ 11 ) = 0 , 5 ) = 1 . Thus the Stokes lines for this

positive and negative imaginary axes . Trying solutions of the form 2 - 1 ( 1 + ciz +

.

The confluent hypergeometric

**equation**has the characteristic**equation**a2 — a =0 , so that $ 11 ) = 0 , 5 ) = 1 . Thus the Stokes lines for this

**equation**are thepositive and negative imaginary axes . Trying solutions of the form 2 - 1 ( 1 + ciz +

.

Page 1685

Since p > n the number q defined by the

15 q < n / ( n - 1 ) and so h ; is in L ( E " ) . Since F ; is in L , ( EK ) it follows from

Hölder ' s inequality that F ; ( - ) h ; ( ) is in L ( E ) . We have , by an elementary ...

Since p > n the number q defined by the

**equation**p - 1 + q - 1 = 1 is in the interval15 q < n / ( n - 1 ) and so h ; is in L ( E " ) . Since F ; is in L , ( EK ) it follows from

Hölder ' s inequality that F ; ( - ) h ; ( ) is in L ( E ) . We have , by an elementary ...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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