Abstract:We study the structure of the backward shift invariant and nearly invariant subspaces in weighted Fock-type spaces F p W , whose weight is not necessarily radial. We show that in the spaces F p W which contain the polynomials as a dense subspace (in particular, in the radial case) all nontrivial backward shift invariant subspaces are of the form P n , i.e., finite dimensional subspaces consisting of polynomials of degree at most n. In general, the structure of the nearly invariant subspaces is more complicated… Show more
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