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arxiv: 1709.09396 · v2 · pith:QO2BFWYXnew · submitted 2017-09-27 · 🧮 math.FA

Backward Shift Invariant Subspaces in Reproducing Kernel Hilbert Spaces

classification 🧮 math.FA
keywords spacesbackwardclasshilbertinvariantkernelreproducingshift
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In this note, we describe the backward shift invariant subspaces for a large class of reproducing kernel Hilbert spaces. This class includes in particular de Branges-Rovnyak spaces (the non-extreme case) and the range space of co-analytic Toeplitz operators.

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