On the inverse of integral operators with kernel operators (Q1914808)

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scientific article; zbMATH DE number 885488
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On the inverse of integral operators with kernel operators
scientific article; zbMATH DE number 885488

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    On the inverse of integral operators with kernel operators (English)
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    22 January 1997
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    The author studies the boundedness of a special class of integral operators in Hilbert space. A simple necessary condition is given for the considered operator to be a Carleman type operator. By studying the inverse of the integral operator the author provides a new method for the inversion of an integral equation of Carleman type. The theory presented is illustrated by two examples.
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    inversion of operators
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    boundedness
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    integral operators
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    Hilbert space
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    Carleman type operator
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    inverse
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