## Linear Operators: Spectral operators |

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Page 2260

( iii ' ) There is a

( 1 , yo , yo ) | d8 S M \ y * | \ yol , Yo € Yo , y * €9 * , JO ( S2 ) where s is the arc

length along C . We now note ( cf . Theorem VII . 9 . 5 and formula [ * ] of the proof

of ...

( iii ' ) There is a

**constant**M depending only on S such that lR + ( 1 , yo , yo ) – R -( 1 , yo , yo ) | d8 S M \ y * | \ yol , Yo € Yo , y * €9 * , JO ( S2 ) where s is the arc

length along C . We now note ( cf . Theorem VII . 9 . 5 and formula [ * ] of the proof

of ...

Page 2425

If we put ( 33 ) p + oo B ( s , o ) ( T ( B ) f ) ( s ) = 1 = f ( o ) do , J - 20 S - O it follows

from Lemma 5 and from ( 31 ) and ( 32 ) that there exists a finite

) depending only on y and ß such that 2 ( 34 ) ( S * * | ( TB ) } ) ( a ) | * ds ) " * 5 ...

If we put ( 33 ) p + oo B ( s , o ) ( T ( B ) f ) ( s ) = 1 = f ( o ) do , J - 20 S - O it follows

from Lemma 5 and from ( 31 ) and ( 32 ) that there exists a finite

**constant**N ( y , B) depending only on y and ß such that 2 ( 34 ) ( S * * | ( TB ) } ) ( a ) | * ds ) " * 5 ...

Page 2441

This shows that there exists a finite absolute

lal ) - n + 1 . Using this inequality and using ( 37 ) , we see that there exists a finite

This shows that there exists a finite absolute

**constant**c ' such that I ( 0 ) Śc ' ( 1 +lal ) - n + 1 . Using this inequality and using ( 37 ) , we see that there exists a finite

**constant**M " independent of ε such that Lav ( 43 ) 1V4 ( , r ' ) ] + ( r , g ' ) Lav + a ...### What people are saying - Write a review

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### Contents

SPECTRAL OPERATORS | 1924 |

An Operational Calculus for Bounded Spectral | 1941 |

Part | 1950 |

Copyright | |

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