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- W3000338191 abstract "We introduce and give a more or less complete study of a family of branching-Toeplitz operators on the Hilbert space $ell^2(T_q)$ indexed by a rooted homogeneous tree $T_q$ of degree $qge 2$. The finite dimensional analogues of such operators form a very natural family of structured sparse matrices called branching-Toeplitz matrices and will also be investigated. The branching-Toeplitz operators/matrices in this paper should be viewed as natural generalizations of the standard Toeplitz operators/matrices. We will apply our results to construct a family of determinantal point processes on homogeneous trees which are branching-type strong stationary stochastic processes." @default.
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- W3000338191 date "2020-01-17" @default.
- W3000338191 modified "2023-09-27" @default.
- W3000338191 title "Hyper-positive definite functions II: A complete study of branching-Toeplitz operators" @default.
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