## Linear Operators: Spectral theory |

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Page 1270

The

adjoint extension is of crucial importance in determining whether the spectral

theorem may be employed . If the answer to this

important to ...

The

**problem**of determining whether a given symmetric operator has a selfadjoint extension is of crucial importance in determining whether the spectral

theorem may be employed . If the answer to this

**problem**is affirmative , it isimportant to ...

Page 1622

4 + 00 I . The converse

differential operators to a variety of

shown a physical meaning for many of the mathematical notions , but has also

raised ...

4 + 00 I . The converse

**problem**. The wide application of the spectral theory ofdifferential operators to a variety of

**problems**in modern physics not only hasshown a physical meaning for many of the mathematical notions , but has also

raised ...

Page 1831

6 . Sur une généralisation du théorème de Plancherel au cas des intégrales de

Fourier sur les groupes topologiques commutatifs . Doklady Akad . Nauk SSSR (

N . S . ) 30 , 484 488 ( 1941 ) . Infinite J - matrices and a matrix moment

6 . Sur une généralisation du théorème de Plancherel au cas des intégrales de

Fourier sur les groupes topologiques commutatifs . Doklady Akad . Nauk SSSR (

N . S . ) 30 , 484 488 ( 1941 ) . Infinite J - matrices and a matrix moment

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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### Common terms and phrases

additive algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense determined differential equations domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem Proc projection proof properties prove range regular remark representation respectively restriction result Russian satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero