## Linear Operators: Spectral theory |

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Page 1297

If Alf ) = 0 for each function in the domain of T ( t ) which vanishes in a

neighborhood of a , A will be

boundary value at b is defined similarly . By analogy with Definition XII . 4 . 25 an

equation B ( A ) ...

If Alf ) = 0 for each function in the domain of T ( t ) which vanishes in a

neighborhood of a , A will be

**called**a boundary value at a . The concept of aboundary value at b is defined similarly . By analogy with Definition XII . 4 . 25 an

equation B ( A ) ...

Page 1432

In this case , v is

, there is no singularity at all , and zero is

equation . If v = 1 , the singularity of equation [ * ] at zero is

In this case , v is

**called**the order of the singularity of equation [ * ] at zero . If v = 0, there is no singularity at all , and zero is

**called**a regular point of the differentialequation . If v = 1 , the singularity of equation [ * ] at zero is

**called**a regular ...Page 1504

A point zo in the complex plane at which r , and r , are analytic is

point of the operator . In the neighborhood of a regular point zo , there exists a

unique analytic solution | ( 2 ) of the equation Lf = 0 with specified initial values f ...

A point zo in the complex plane at which r , and r , are analytic is

**called**a regularpoint of the operator . In the neighborhood of a regular point zo , there exists a

unique analytic solution | ( 2 ) of the equation Lf = 0 with specified initial values f ...

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### Contents

IX | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Compact Groups | 945 |

Copyright | |

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