Block-Supersymmetric Polynomials on Spaces of Absolutely Convergent Series

Autor:	Viktoriia Kravtsiv
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	symmetric analytic functions on Banach spaces algebras of analytic functions algebraic bases block-symmetric polynomials Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 2, p 179 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16020179
Popis:	In this paper, we consider a supersymmetric version of block-symmetric polynomials on a Banach space of two-sided absolutely summing series of vectors in Cs for some positive integer s>1. We describe some sequences of generators of the algebra of block-supersymmetric polynomials and algebraic relations between the generators for the finite-dimensional case and construct algebraic bases of block-supersymmetric polynomials in the infinite-dimensional case. Furthermore, we propose some consequences for algebras of block-supersymmetric analytic functions of bounded type and their spectra. Finally, we consider some special derivatives in algebras of block-symmetric and block-supersymmetric analytic functions and find related Appell-type sequences of polynomials.
Databáze:	Directory of Open Access Journals
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