## Linear Operators: Spectral operators |

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Page 2325

This , however , follows from Lemma 3.5 and from

also follows , from Lemma 3.5 ,

Én of M ( u ) in RTM has the asymptotic representation Śn ~ 211 + & + z2 + Ë

Smn + ...

This , however , follows from Lemma 3.5 and from

**formulas**( 16 ) and ( 14 ) . Italso follows , from Lemma 3.5 ,

**formula**( 16 ) , and**formula**( 14 ) , that the zeroÉn of M ( u ) in RTM has the asymptotic representation Śn ~ 211 + & + z2 + Ë

Smn + ...

Page 2330

n Since Guis analytic by

and Em of the contour integral ( 27 ) Sinun - 1 R ( pem ; 7 ) – nun - 1G . ) du . By

Lemma 3 , if we take any sufficiently small & > 0 , and let om denote the circle

with ...

n Since Guis analytic by

**formula**( 21 ) , we have only to take the residues at Śmand Em of the contour integral ( 27 ) Sinun - 1 R ( pem ; 7 ) – nun - 1G . ) du . By

Lemma 3 , if we take any sufficiently small & > 0 , and let om denote the circle

with ...

Page 2341

We wish to show , using

ranging over all finite sets of integers , is uniformly bounded . This follows from (

58 ) by an argument using Lemma 7 , which is similar to the corresponding ...

We wish to show , using

**formula**( 58 ) , that the family of all sums Em > me ) Jranging over all finite sets of integers , is uniformly bounded . This follows from (

58 ) by an argument using Lemma 7 , which is similar to the corresponding ...

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

32 other sections not shown

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