## Linear Operators: Self Adjoint Operators in Hilbert Space. Spectral theory. Part II |

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Page 972

... p ] T- \ kes 2 6 R. Since characters have modulus

Plancherel's theorem that { u ( e + p ) ... replace e and p by e + p and -p in the

argument just given to conclude that u ( e ) = u ( e + p - p ) < oo and

p ) .

... p ] T- \ kes 2 6 R. Since characters have modulus

**equal**to unity , it follows fromPlancherel's theorem that { u ( e + p ) ... replace e and p by e + p and -p in the

argument just given to conclude that u ( e ) = u ( e + p - p ) < oo and

**equals**use +p ) .

Page 1147

( b ) Any irreducible representation of G is

representations Rķa ) . ... the number of representations in a complete set of

representations is

the representation ...

( b ) Any irreducible representation of G is

**equivalent**to one of therepresentations Rķa ) . ... the number of representations in a complete set of

representations is

**equal**to the number of distinct classes of G. The main aim ofthe representation ...

Page 1396

Then both deficiency indices of t are

extensions of To ( t ) have the same set of non - isolated points , and this set is

and ...

Then both deficiency indices of t are

**equal**. Moreover , all the self adjointextensions of To ( t ) have the same set of non - isolated points , and this set is

**equal**to 0 ( t ) . Proof . The second assertion follows immediately from Theorem 5and ...

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### Contents

SPECTRAL THEORY Self Adjoint Operators in Hilbert Space | 858 |

BAlgebras | 859 |

Preliminary Notions | 865 |

Copyright | |

61 other sections not shown

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