# Igor Klep - Preprints

## Preprints

(86)    Factorization of noncommutative polynomials and Nullstellensätze for the free algebra, latest revision 8 July 2019 (with and )

(85)    Local theory of free noncommutative functions: germs, meromorphic functions and Hermite interpolation, latest revision 29 May 2019 (with and )

(84)    Sparse Noncommutative Polynomial Optimization, latest revision 1 September 2019 (with and )

(83)    Noncommutative polynomials describing convex sets, latest revision 18 August 2018 (with , and )

(82)    Noncommutative rational functions invariant under the action of a finite solvable group, latest revision 17 September 2019 (with , Gregor Podlogar and )

(81)    A Model Theoretic Perspective of Matrix Rings, latest revision 2 November 2018 (with )

(80)    Plurisubharmonic noncommutative rational functions, latest revision 5 August 2019 (with , , and )

(79)    Noncommutative partial convexity via $$\Gamma$$-convexity, latest revision 15 August 2019 (with , Mark Mancuso, and )

(78)    Multipartite rational functions, latest revision 17 March 2019 (with and )

(77)    Bianalytic free maps between spectrahedra and spectraballs, latest revision 23 February 2019 (with , and )

## To be published

(76)    A Matrix Positivstellensatz with lifting polynomials, SIAM Journal on Optimization (with )