## Linear Operators: Spectral theory |

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Page 1164

Singular integrals and inequalities. The general inequalities of Section 7 are due

to Calderón and Zygmund [1] and [5]; the particular case n = 1 (Hilbert transform)

to M. Riesz. Calderón and Zygmund [1] show that if the function Q

Singular integrals and inequalities. The general inequalities of Section 7 are due

to Calderón and Zygmund [1] and [5]; the particular case n = 1 (Hilbert transform)

to M. Riesz. Calderón and Zygmund [1] show that if the function Q

**satisfies**a ...Page 1385

The function e-Yo

–7 = 0; i.e., if and only if k is positive and A = –1/k”. Thus, only in case (iv) does To

have a non-void point spectrum, which consists of the single point A = –1/k”, ...

The function e-Yo

**satisfies**the boundary condition f(0)-i-kf'(0) if and only if 1 —k V–7 = 0; i.e., if and only if k is positive and A = –1/k”. Thus, only in case (iv) does To

have a non-void point spectrum, which consists of the single point A = –1/k”, ...

Page 1602

(48) Suppose that the function q is bounded below, and let f be a real solution of

the equation (A—t)f = 0 on [0, oo) which is not square-integrable but which

(48) Suppose that the function q is bounded below, and let f be a real solution of

the equation (A—t)f = 0 on [0, oo) which is not square-integrable but which

**satisfies**|f(s)'ds = o(e) for some k > 0. Then the point % belongs to the essential ...### What people are saying - Write a review

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### Contents

SPECTRAL THEORY | 858 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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