Symmetric polynomials on

被引：0

作者：

Vasylyshyn, Taras ^{[1
]}

机构：

[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Shevchenka Str, UA-76018 Ivano Frankivsk, Ukraine

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2020年 / 6卷 / 01期

关键词：

Polynomial; Symmetric polynomial; Block-symmetric polynomial; Algebraic basis; ANALYTIC-FUNCTIONS; ALGEBRAS; SPECTRA; CONVOLUTION;

D O I：

10.1007/s40879-018-0268-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an algebraic basis of the algebra of symmetric continuous polynomials on the nth Cartesian power of the complex Banach space , where 1 <= p<+infinity\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1\leqslant p .

引用

页码：164 / 178

页数：15

共 50 条

[31] Symmetric polynomials, generalized Jacobi-Trudi identities and τ-fuctions
Harnad, J.
Lee, Eunghyun
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (09)
[32] Symmetric polynomials in the free metabelian associative algebra of rank 2
Findik, Sehmus
TURKISH JOURNAL OF MATHEMATICS, 2022,
[33] Exploiting Features of Symmetric Polynomials for Improved Comb Filter Design
Jovanovic Dolecek, Gordana
Dolecek, Lara
2016 SIGNAL PROCESSING: ALGORITHMS, ARCHITECTURES, ARRANGEMENTS, AND APPLICATIONS (SPA), 2016, : 26 - 29
[34] Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials
Loehr, Nicholas A.
Serrano, Luis G.
Warrington, Gregory S.
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2013, 120 (08) : 1996 - 2019
[35] Group-symmetric holomorphic functions on a Banach space
Aron, Richard
Galindo, Pablo
Pinasco, Damian
Zalduendo, Ignacio
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2016, 48 : 779 - 796
[36] SYMMETRIC FUNCTIONS ON SPACES lp(Rn) AND lp(Cn)
Vasylyshyn, T. V.
CARPATHIAN MATHEMATICAL PUBLICATIONS, 2020, 12 (01) : 5 - 16
[37] D-NICE SYMMETRIC POLYNOMIALS WITH FOUR ROOTS OVER INTEGRAL DOMAINS D OF ANY CHARACTERISTIC
Groves, Jonathan
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2007, 2 : 208 - 225
[38] Representation theoretic realization of non-symmetric Macdonald polynomials at infinity
Feigin, Evgeny
Kato, Syu
Makedonskyi, Ievgen
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2020, 764 : 181 - 216
[39] Infinite families of 3-designs from special symmetric polynomials
Xu, Guangkui
Cao, Xiwang
Luo, Gaojun
Wu, Huawei
DESIGNS CODES AND CRYPTOGRAPHY, 2024, : 4487 - 4509
[40] Synnatzschke's theorem for polynomials
Boyd, Christopher
Ryan, Raymond A.
Snigireva, Nina
POSITIVITY, 2021, 25 (01) : 229 - 242

← 1 2 3 4 5 →