Flagged Schur functions, Schubert polynomials, and symmetrizing operators
β Scribed by Michelle L Wachs
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 673 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
de die a maria Contents. ## Introduction. 1. Divided differences associated with the hyperoctahedral groups. 2. Reproducing kernels and a vanishing property. 3. Action of s on the basis [S + } Q I ] an inductive approach. 4. Action of s on the basis [S + } Q I ] via the vanishing property. ## 5
We present several identities involving staircase Schur functions. These identities are then interpreted in terms of a sequence of orthogonal polynomials in one variable x, with coefficients in the ring of symmetric functions. By an appropriate specialization these polynomials reduce to Bessel polyn
Motivated by the recent discovery of a simple quantization procedure for Schubert polynomials we study the expansion of Schur and Schubert polynomials into standard elementary monomials (SEM). The SEM expansion of Schur polynomials can be described algebraically by a simple variant of the Jacobi Tru
## Abstract We show that the pseudocontinuability of a matrixβvalued Schur function __ΞΈ__ in the unit disk is completely determined by the properties of the maximal shift and maximal coshift contained in a corresponding contractive operator __T__ which has the characteristic operator function __ΞΈ._