## Linear Operators, Part 2 |

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The convolution

The convolution

**integrals**( 1 ) ( k * f ) ( x ) = Sexk ( x – y ) f ( y ) ... then it follows from Lemma 3.1 that the convolution**integral**( 1 ) exists for ...Page 1046

an

an

**integral**studied by Hilbert . The**integral**( 2 ) may be interpreted in terms of a Cauchy principal value as o eixy so die = lim + dx JE .00 eixy ixy -e ...Page 1047

In the multi - dimensional case the convolution

In the multi - dimensional case the convolution

**integrals**ptoo ( 4 ) 2 ... In the particular case of Hilbert's**integral**( 2 ) for instance , 2 ( x ) sgn x .### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Miscellaneous Applications | 937 |

Copyright | |

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