Some results on minors of Toeplitz matrices and the theory of symmetric functions

Description:  We study minors of Toeplitz matrices using the theory of symmetric functions. The symbols of the Toeplitz matrices can either be in the Szegö class or have Fisher-Hartwig singularities and the results apply both to minors of finite and of large dimension. As an application, and also using results on inverses of Toeplitz matrices, we obtain explicit formulas for a Selberg-Morris integral and for specializations of certain skew Schur polynomials. Date:  2018-03-16 Start Time:   14:30 Speaker:  Miguel Tierz (Univ. Lisboa) Institution:  Univ. Lisboa Place:  Room 5.5 Research Groups: -Analysis See more:   <Main>