## Linear Operators, Part 1 |

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Page 224

Functions of a Complex Variable In some of the chapters to follow , and

especially in Chapter VII , we shall use extensions of certain well - known results

in the theory of

functions ...

Functions of a Complex Variable In some of the chapters to follow , and

especially in Chapter VII , we shall use extensions of certain well - known results

in the theory of

**analytic**functions of a complex variable to the case where thefunctions ...

Page 230

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 20. If no

20 is The largest number n such that a_inl # 0 is called the order of the pole ар

with p < 0 is non - zero , and if we put f ( 20 ) = do , then f becomes

zo !

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. 20. If no

20 is The largest number n such that a_inl # 0 is called the order of the pole ар

with p < 0 is non - zero , and if we put f ( 20 ) = do , then f becomes

**analytic**in z -zo !

Page 586

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. Then

there exists a 8 > 0 such that if \ ul < d , then Ū CO ( T ( u ) ) and R ( 2 ; T ( u ) ) is

an

that if ...

Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle. Then

there exists a 8 > 0 such that if \ ul < d , then Ū CO ( T ( u ) ) and R ( 2 ; T ( u ) ) is

an

**analytic**function of u for each 1 € U. PROOF . By Lemma 3 , there is a & suchthat if ...

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### Contents

Preliminary Concepts | 1 |

The VitaliHahnSaks Theorem and Spaces of Measures | 7 |

B Topological Preliminaries | 10 |

Copyright | |

87 other sections not shown

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