## Linear Operators: Spectral theory |

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Page 1250

In general , st " u ( dt ) is called the nth moment with respect to the origin and the

which has prescribed moments . The Hamburger moment

In general , st " u ( dt ) is called the nth moment with respect to the origin and the

**problem**proposed and solved by Stieltjes is to find a mass distribution u on ( 0 , )which has prescribed moments . The Hamburger moment

**problem**is similar to ...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 1748

Linear Hyperbolic Equations and the Cauchy

devoted to the proof ( as simplified by P. Lax ) of the interesting and important

theorem of K. O. Friedrichs on symmetric hyperbolic systems . As an example of

the ...

Linear Hyperbolic Equations and the Cauchy

**Problem**The present section isdevoted to the proof ( as simplified by P. Lax ) of the interesting and important

theorem of K. O. Friedrichs on symmetric hyperbolic systems . As an example of

the ...

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### Contents

BAlgebras | 861 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

Copyright | |

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additive Akad algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complete Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined 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 Nauk neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero