# Igor Klep - Preprints

## Preprints

(89)    Noncommutative partially convex rational functions, latest revision 3 May 2020 (with , Mark Mancuso, and )

(88)    Optimization over trace polynomials, latest revision 22 June 2020 (with and )

(87)    A Model Theoretic Perspective on Matrix Rings, latest revision 28 April 2020 (with )

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

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

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

## To be published

(83)    Noncommutative polynomials describing convex sets, Foundations of Computational Mathematics (with , and )

(82)    Factorization of noncommutative polynomials and Nullstellensätze for the free algebra, International Mathematics Research Notices IMRN (with and )

(81)    Local theory of free noncommutative functions: germs, meromorphic functions and Hermite interpolation, Transactions of the American Mathematical Society (with and )

(80)    Noncommutative partial convexity via $$\Gamma$$-convexity, Journal of Geometric Analysis (with , Mark Mancuso, and )

(79)    Noncommutative rational functions invariant under the action of a finite solvable group, Journal of Mathematical Analysis and Applications (with , Gregor Podlogar and )

(78)    A note on group representations, determinantal hypersurfaces and their quantizations, Proceedings of IWOTA 2019, Operator Theory: Advances and Applications (with )