## Linear Operators: Spectral theory |

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Results 1-3 of 55

Page 1184

suitable hypotheses to map functions satisfying a Hölder condition of exponent 0

) < a < 1 into functions of the same sort .

LittlewoodPaley ...

**Singular**integrals of Hilbert - CalderónZygmund type may be shown undersuitable hypotheses to map functions satisfying a Hölder condition of exponent 0

) < a < 1 into functions of the same sort .

**Singular**integrals of Hardy -LittlewoodPaley ...

Page 1848

On the spectrum of

order . Doklady Akad . Nauk SSSR ( N . S . ) 85 , 41 - 44 ( 1952 ) . ( Russian )

Math . Rev . 14 , 473 ( 1953 ) . 10 . Investigation of the spectrum and expansion in

...

On the spectrum of

**singular**non - self - adjoint differential operators of the secondorder . Doklady Akad . Nauk SSSR ( N . S . ) 85 , 41 - 44 ( 1952 ) . ( Russian )

Math . Rev . 14 , 473 ( 1953 ) . 10 . Investigation of the spectrum and expansion in

...

Page 1919

7 ( 136 )

258 ) , IV . 5 . 3 ( 259 ) , IV . 6 . 2 – 3 ( 262 – 264 ) , IV . 8 . 16 ( 296 ) definitions , (

160 – 162 ) , IV . 2 . 15 - 17 ( 240 ) , IV . 6 . 1 ( 261 ) remarks on , ( 389 - 390 )

study ...

7 ( 136 )

**singular**, III . 4 . 12 ( 131 ) spaces of , as conjugate spaces , IV . 5 . 1 (258 ) , IV . 5 . 3 ( 259 ) , IV . 6 . 2 – 3 ( 262 – 264 ) , IV . 8 . 16 ( 296 ) definitions , (

160 – 162 ) , IV . 2 . 15 - 17 ( 240 ) , IV . 6 . 1 ( 261 ) remarks on , ( 389 - 390 )

study ...

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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