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Commuting linear differential operators and Hankel matrices. (English) Zbl 1266.47007
Brändén, Petter (ed.) et al., Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser (ISBN 978-3-0348-0141-6/hbk; 978-3-0348-0142-3/ebook). Trends in Mathematics, 1-15 (2011).
The authors of the paper under review consider Hankel operators \(H_u\) on the Hardy class \(H^2\) and study conditions under which there exists a differential operator \(D\) with polynomial coefficients such that \(H_uD=DH_u\).
For the entire collection see [Zbl 1222.00033].

MSC:
47A10 Spectrum, resolvent
47B34 Kernel operators
31A10 Integral representations, integral operators, integral equations methods in two dimensions
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
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