## Linear Operators: Spectral operators |

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Page 2322

REGULARITY

REGULARITY

**HYPOTHESIS**FOR EVEN ORDER CASE . The polynomials and T , are of order p . TT 1 If Regularity**Hypothesis**1 is satisfied , we may write 2322 XIX.4.1 XIX . PERTURBATIONS OF SPECTRAL OPERATORS.Page 2342

The matrix aux ( s ) of the remark following Regularity

The matrix aux ( s ) of the remark following Regularity

**Hypothesis**1 is consequently determined by the equations mi ÑAk = 0 for 0 < k < v and v < i2v , = 0 for < k < 2v and 1sisv , Ñ k = ( iwk ) m otherwise , if k70 , k # v ; ÎN 10 ...Page 2397

The theorem will follow as soon as it is shown that the

The theorem will follow as soon as it is shown that the

**hypotheses**of Theorem XVIII.2.34 are satisfied . In the notation of that theorem o ( T ) ...**Hypothesis**( i ) of Theorem XVIII.2.34 is satisfied by virtue of Corollaries 9 and 11.### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS 1937 1941 1945 XV Spectral Operators | 1924 |

Introduction | 1927 |

Terminology and Preliminary Notions | 1929 |

Copyright | |

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