## Linear Operators, Part 2 |

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Page 1472

least one such

independent

all

that for any ...

least one such

**solution**must exist . On the other hand , if two linearlyindependent

**solutions**of to = lo satisfy the boundary condition B , it follows thatall

**solutions**of to = ho satisfy B . By the remark ( a ) made above , it then followsthat for any ...

Page 1521

Putting Yo = 1 / 2 + i so that do = 1 + i , we see that the equation ( L1 - 20 ) f has

one

t → 00 . The

Putting Yo = 1 / 2 + i so that do = 1 + i , we see that the equation ( L1 - 20 ) f has

one

**solution**of the order of t - 1 - i as t → 00 and another which behaves like ţi ast → 00 . The

**solution**at ho = 1 - i is exactly similar . Thus , by Theorem XII . 4 .Page 1529

Then in this angle any

the factor exp ( 517 ) 7k - 1 ) is exponentially small ( as ( 2 ] → oo in the angle )

relative to any

Then in this angle any

**solution**of Lf = 0 whose asymptotic expansion begins withthe factor exp ( 517 ) 7k - 1 ) is exponentially small ( as ( 2 ] → oo in the angle )

relative to any

**solution**whose asymptotic expansion begins with the factor exp ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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