Results 21 to 30 of about 1,007,951 (256)
Point-evaluation functionals on algebras of symmetric functions on $(L_\infty)^2$
Karpatsʹkì Matematičnì Publìkacìï, 2019 It is known that every continuous symmetric (invariant under the composition of its argument with each Lebesgue measurable bijection of $[0,1]$ that preserve the Lebesgue measure of measurable sets) polynomial on the Cartesian power of the complex Banach
T.V. Vasylyshyn
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Continuous block-symmetric polynomials of degree at most two on the space $(L_\infty)^2$
Karpatsʹkì Matematičnì Publìkacìï, 2016 We introduce block-symmetric polynomials on $(L_\infty)^2$ and prove that every continuous block-symmetric polynomial of degree at most two on $(L_\infty)^2$ can be uniquely represented by some "elementary" block-symmetric polynomials.
T.V. Vasylyshyn
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q-Calculus as operational algebra; pp. 73–97 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354â374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
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Some symmetric polynomial and related identities [PDF]
ریاضی و جامعهIn this paper, we study some symmetric polynomials and their properties. In addition to the elementary and complete symmetric polynomials, we consider the accumulative versions of these polynomials and using common combinatorial tools, particularly ...
Narges Ghareghani +1 more
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A practical method for constructing a reflectionless potential with a given energy spectrum; pp. 358–377 [PDF]
Proceedings of the Estonian Academy of Sciences, 2016 A fully algebraic approach to constructing one-dimensional reflectionless potentials with any number (N) of bound states is described. A simple and easily applicable general formula is derived, using the methods of the theory of determinants.
Matti Selg
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Symmetric Polynomials in Free Associative Algebras—II
Mathematics, 2023 Let K⟨Xd⟩ be the free associative algebra of rank d≥2 over a field, K. In 1936, Wolf proved that the algebra of symmetric polynomials K⟨Xd⟩Sym(d) is infinitely generated.
Silvia Boumova +3 more
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Symmetric $*$-polynomials on $\mathbb C^n$
Karpatsʹkì Matematičnì Publìkacìï, 2018 $*$-Polynomials are natural generalizations of usual polynomials between complex vector spaces. A $*$-polynomial is a function between complex vector spaces $X$ and $Y,$ which is a sum of so-called $(p,q)$-polynomials.
T.V. Vasylyshyn
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Elementary symmetric polynomials of increasing order [PDF]
Probability Theory and Related Fields, 1988 The asymptotic behaviour of elementary symmetric polynomials \(S_ n^{(k)}\) of order k, based on n independent and identically distributed random variables \(X_ 1,...,X_ n\), is investigated for the case that both k and n get large. If \(k=o(n^{1/2})\), then the distribution function of a suitably normalized \(S_ n^{(k)}\) is shown to converge to a ...
A.J. van Es (Bert), R. Helmers (Roelof)
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Counting strings over $\mathbb{Z}2^d$ with Given Elementary Symmetric Function Evaluations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Let $\alpha$ be a string over $\mathbb{Z}_q$, where $q = 2^d$. The $j$-th elementary symmetric function evaluated at $\alpha$ is denoted $e_j(\alpha)$ . We study the cardinalities $S_q(m;\mathcal{T} _1,\mathcal{T} _2,\ldots,\mathcal{T} _t)$ of the set of
Charles Robert Miers, Franck Ruskey
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Vanishing Results for Hall-Littlewood Polynomials [PDF]
, 2012 It is well-known that if one integrates a Schur function indexed by a partition λ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even multiplicity (resp. all parts of λ are even).
Venkateswaran, Vidya
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