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math.FA2017
Division subspaces and integrable kernels
Alexander I. Bufetov, Roman V. Romanov
In this note we prove that the reproducing kernel of a Hilbert space satisfying the division property has integrable form, is locally of trace class, and the Hilbert space itself i…
math.FA2014★ 3 cited
The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures
Alexander I. Bufetov, Yanqi Qiu
The main result of this paper, Theorem 1.1, gives explicit formulae for the kernels of the ergodic decomposition measures for infinite Pickrell measures on spaces of infinite compl…