## Linear Operators: General theory |

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Page 224

It will be assumed that the reader is familiar with the elementary theory of

complex valued

values in X is said to be

derivatives af Əzi ...

It will be assumed that the reader is familiar with the elementary theory of

complex valued

**analytic**functions of one ... A function defined on G and withvalues in X is said to be

**analytic**on G if f is continuous and the first partialderivatives af Əzi ...

Page 229

A function f

( x ) = Σ α , ( α - α ) » , p =which converges uniformly and absolutely in every

annulus a te 32—20 ) SB - ɛ with ε > 0. The coefficients a , are given by the

formulas ...

A function f

**analytic**in an annulus a < 2-20 < B has a unique Laurent expansion f( x ) = Σ α , ( α - α ) » , p =which converges uniformly and absolutely in every

annulus a te 32—20 ) SB - ɛ with ε > 0. The coefficients a , are given by the

formulas ...

Page 230

Nelson Dunford, Jacob T. Schwartz. 20 is The largest number n such that a_ini +

0 is called the order of the pole 2o . If no a , with p < 0 is non - zero , and if we put

| ( 20 ) = do , then f becomes

Nelson Dunford, Jacob T. Schwartz. 20 is The largest number n such that a_ini +

0 is called the order of the pole 2o . If no a , with p < 0 is non - zero , and if we put

| ( 20 ) = do , then f becomes

**analytic**in 12—201 < r , so that the singularity at z ...### What people are saying - Write a review

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### Contents

Preliminary Concepts | 1 |

B Topological Preliminaries | 10 |

quences | 26 |

Copyright | |

81 other sections not shown

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