On a chaotic weighted shift \(z^pd^{p+1}/dz^{p+1}\) of order \(p\) in Bargmann space (Q666321)
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scientific article; zbMATH DE number 6012962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a chaotic weighted shift \(z^pd^{p+1}/dz^{p+1}\) of order \(p\) in Bargmann space |
scientific article; zbMATH DE number 6012962 |
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On a chaotic weighted shift \(z^pd^{p+1}/dz^{p+1}\) of order \(p\) in Bargmann space (English)
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8 March 2012
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Summary: This paper is devoted to the study of the chaotic properties of some specific backward shift unbounded operators \(H_p = a^{\ast^p} A^{P+1}; ~p = 0, 1, \dots\) realized as differential operators in Bargmann space, where \(A\) and \(A^\ast\) are the standard Bose annihilation and creation operators such that \([A, A^\ast] = I\).
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