Algebraic Properties of Toeplitz operators on the symmetrized polydisk

Abstract

This paper introduces the classically successful theory of Toeplitz operators on the Hardy space over the unit disk to a new domain in ${\mathbb{C}}^d$ -- the symmetrized polydisk.

24 pages; To appear in Complex Analysis and Operator Theory. arXiv admin note: substantial text overlap with arXiv:1712.02237, arXiv:1706.03463