Results 11 to 20 of about 1,823 (264)
Linear algebra for skew-polynomial matrices [PDF]
, 2002 We describe an algorithm for transforming skew-polynomial matrices over an Ore domain in row-reduced form, and show that this algorithm can be used to perform the standard calculations of linear algebra on such matrices (ranks, kernels, linear dependences, inhomogeneous solving). The main application of our algorithm is to desingularize recurrences and
Abramov, Sergei, Bronstein, Manuel
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Linear Factorization of Conical Polynomials Over Certain Nonassociative Algebras [PDF]
Transactions of the American Mathematical Society, 1976 Conical polynomials are defined as certain polynomials in quadratic elements of the universal enveloping algebra of a semisimple symmetric Lie algebra over a field of characteristic zero. These polynomials were used in an earlier paper to describe the conical vectors in certain induced modules. Here it is shown that when the base field is extended to a
J. Lepowsky
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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Algebraic linearizations of matrix polynomials
Linear Algebra and its Applications, 2019 We show how to construct linearizations of matrix polynomials $z\mathbf{a}(z)\mathbf{d}_0 + \mathbf{c}_0$, $\mathbf{a}(z)\mathbf{b}(z)$, $\mathbf{a}(z) + \mathbf{b}(z)$ (when $\mathrm{deg}\left(\mathbf{b}(z)\right) < \mathrm{deg}\left(\mathbf{a}(z)\right)$), and $z\mathbf{a}(z)\mathbf{d}_0\mathbf{b}(z) + \mathbf{c_0}$ from linearizations of the ...
Eunice Y.S. Chan +4 more
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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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Axioms, 2023 In this paper we formulate necessary conditions for the stability of certain quadrature methods for Mellin type singular integral equations on an interval.
Peter Junghanns, Robert Kaiser
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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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Hilbert polynomials of the algebras of $SL_ 2$-invariants
Karpatsʹkì Matematičnì Publìkacìï, 2018 We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
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A linear algebra approach to the hybrid Sheffer–Appell polynomials [PDF]
Mathematical Sciences, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Subuhi, Ali, Mahvish
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ITM Web of Conferences, 2018 We review classical concepts of resultants of algebraic polynomials, and we adapt some of these concepts to objects in differential algebra, such as linear differential operators and differential polynomials.
McCallum Scott, Winkler Franz
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