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Rajkamal Nailwal
A complete solution to the Cauchy dual subnormality problem for torally expansive toral 3-isometric weighted 2-shifts
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| Published: |
October 16, 2024. |
| Keywords: |
Joint completely monotone, Bessel function, toral m-isometry, Cauchy dual. |
| Subject [2020]: |
Primary 44A60, 47A13; Secondary 47B37, 47B39. |
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Abstract
In this paper, we present a complete solution to the Cauchy dual subnormality problem (for short CDSP) for torally expansive toral 3-isometric weighted 2-shifts. This solution is obtained by solving a couple of Hausdorff moment problems arising from 2-variable polynomials of lower bi-degree.
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| Acknowledgements
I would like to sincerely thank Prof. Akash Anand and Prof. Sameer Chavan for their invaluable guidance and support during the preparation of this paper.
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| Author information
Rajkamal Nailwal
Department of Mathematics and Statistics
Indian Institute of Technology
Kanpur, India
rnailwal@iitk.ac.in
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