## Linear Operators, Part 2 |

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Page 1074

8 Show , with the hypotheses and notation of Exercise 6 , that if b is in Lol - 00 , +

00 ) , then too ft 16 ( t ) | 2 - P F ( t ) | ” dt < 0 . 9 Let 2 be a real function of a real

variable such that 1 ( • ) F ( 0 ) is the Fourier

00 ) ...

8 Show , with the hypotheses and notation of Exercise 6 , that if b is in Lol - 00 , +

00 ) , then too ft 16 ( t ) | 2 - P F ( t ) | ” dt < 0 . 9 Let 2 be a real function of a real

variable such that 1 ( • ) F ( 0 ) is the Fourier

**transform**of a function in L ( - 00 , +00 ) ...

Page 1075

18 Let f be in L , ( - 0 , too ) and let F be its Fourier

lim ( * F ( t ) e - * * < ( 1 ) de A + 21 J - 20 provided that the function a is bounded ,

continuously differentiable at the origin , and that both a and its Fourier

...

18 Let f be in L , ( - 0 , too ) and let F be its Fourier

**transform**. Then iptoo t ( a ) =lim ( * F ( t ) e - * * < ( 1 ) de A + 21 J - 20 provided that the function a is bounded ,

continuously differentiable at the origin , and that both a and its Fourier

**transform**...

Page 1271

frequently - used device , it is appropriate that we give a brief sketch indicating

how the Cayley

has a self adjoint extension . Let T be a symmetric operator with domain D ( T ) ...

frequently - used device , it is appropriate that we give a brief sketch indicating

how the Cayley

**transform**can be used to determine when a symmetric operatorhas a self adjoint extension . Let T be a symmetric operator with domain D ( T ) ...

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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