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- W2952469975 abstract "It is well known that a non-constant complex-valued function $f$ defined on the open unit disk $mathbb D$ is an analytic self-mapping of $D$ and only Pick matrices $left[ (1-f(z_i)overline{f(z_j)})/(1-z_ioverline{z}_j)right]_{i,j=1}^n$ are positive semidefinite for all choices of finitely many points $z_iinD$. A stronger version of the if part was established by Alan Hindmarsh: all $3times 3$ Pick matrices are positive semidefinite, then $f$ is an analytic self-mapping of $mathbb D$. In this paper, we extend this result to the non-commutative setting of power series over quaternions." @default.
- W2952469975 created "2019-06-27" @default.
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- W2952469975 date "2014-05-14" @default.
- W2952469975 modified "2023-09-27" @default.
- W2952469975 title "Pick matricies and quaternionic power series" @default.
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