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Pré-Publication, Document De Travail Année : 2020

On Kato classes and self-adjointness of many-body convolution type Hamiltonians

Résumé

We give a functional analytic L 1 approach to L 2 form-bounds for many-body convolution type Hamiltonians and explore new aspects of Kato classes for convolution semigroups. These classes are explored in terms of L 1 weak compactness properties and also in terms of asymptotics of averages over suitable shells. In particular, various membership criteria are given.
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Dates et versions

hal-02922387 , version 1 (26-08-2020)

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  • HAL Id : hal-02922387 , version 1

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Mustapha Mokhtar-Kharroubi. On Kato classes and self-adjointness of many-body convolution type Hamiltonians. 2020. ⟨hal-02922387⟩
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