Browsing 2017 by MSC "47"
Now showing items 1-2 of 2
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Geometry of Free Loci and Factorization of Noncommutative Polynomials
[OWP-2017-23] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-02)The free singularity locus of a noncommutative polynomial f is defined to be the sequence $Z_n(f)=\{X\in M_n^g : \det f(X)=0\}$ of hypersurfaces. The main theorem of this article shows that f is irreducible if and only if ... -
Reducing sub-modules of the Bergman module $\mathbb A^{(\lambda)}(\mathbb D^n)$ under the action of the symmetric group
[OWP-2017-19] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-20)The weighted Bergman spaces on the polydisc, $\mathbb A^{(\lambda)}(\mathbb D^n)$, $\lambda>0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(\lambda)}(\mathbb D^n)\big)$ indexed ...