6533b82efe1ef96bd1293bd4
RESEARCH PRODUCT
The algebra of symmetric analytic functions on L∞
Andriy ZagorodnyukPablo GalindoT. V. Vasylyshynsubject
Power sum symmetric polynomialTriple systemGeneral Mathematics010102 general mathematicsSubalgebraStanley symmetric functionComplete homogeneous symmetric polynomial01 natural sciences010101 applied mathematicsAlgebraSymmetric polynomialComputingMethodologies_DOCUMENTANDTEXTPROCESSINGElementary symmetric polynomial0101 mathematicsRing of symmetric functionsMathematicsdescription
We consider the algebra of holomorphic functions on L∞ that are symmetric, i.e. that are invariant under composition of the variable with any measure-preserving bijection of [0, 1]. Its spectrum is identified with the collection of scalar sequences such that is bounded and turns to be separable. All this follows from our main result that the subalgebra of symmetric polynomials on L∞ has a natural algebraic basis.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-05-31 | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |