The structure of the extended symmetric Fock space (Q2722115)
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scientific article; zbMATH DE number 1617363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of the extended symmetric Fock space |
scientific article; zbMATH DE number 1617363 |
Statements
11 July 2001
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extended Fock space
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gamma process
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compound Poisson processes
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Jacobi structure
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commuting selfadjoint operators
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The structure of the extended symmetric Fock space (English)
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The gamma process, an important example of the compound Poisson processes, is connected with the spectral theory of a specific family of commuting selfadjoint operators which have the Jacobi structure and act on a certain space of Fock type. The authors describe explicitly the structure of each \(n\)-particle subspace of this extended Fock space. Such subspaces are represented as weighted direct sums.
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