Results 31 to 40 of about 137,192 (245)

THE FINITE SUM OF THE PRODUCTS OF TWO TOEPLITZ OPERATORS [PDF]

Journal of the Australian Mathematical Society, 2009
AbstractWe consider in this paper the question of when the finite sum of products of two Toeplitz operators is a finite-rank perturbation of a single Toeplitz operator on the Hardy space over the unit disk. A necessary condition is found. As a consequence we obtain a necessary and sufficient condition for the product of three Toeplitz operators to be a
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A Comprehensive Scan for Heterotic SU(5) GUT models [PDF]

, 2013
Compactifications of heterotic theories on smooth Calabi-Yau manifolds remains one of the most promising approaches to string phenomenology. In two previous papers, http://arXiv.org/abs/arXiv:1106.4804 and http://arXiv.org/abs/arXiv:1202.1757, large ...
Anderson, Lara B., Constantin, Andrei, Gray, James, Lukas, Andre, Palti, Eran   +4 more
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Connection Problem for Sums of Finite Products of Legendre and Laguerre Polynomials [PDF]

Symmetry, 2019
The purpose of this paper is to represent sums of finite products of Legendre and Laguerre polynomials in terms of several orthogonal polynomials. Indeed, by explicit computations we express each of them as linear combinations of Hermite, generalized Laguerre, Legendre, Gegenbauer and Jacobi polynomials, some of which involve terminating hypergeometric
Taekyun Kim, Kyung-Won Hwang, Dae San Kim, Dmitry V. Dolgy   +3 more
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Sums of finite products of Chebyshev polynomials of two different types

AIMS Mathematics, 2021
<abstract><p>In this paper, we consider sums of finite products of the second and third type Chebyshev polynomials, those of the second and fourth type Chebyshev polynomials and those of the third and fourth type Chebyshev polynomials, and represent each of them as linear combinations of Chebyshev polynomials of all types.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jongkyum Kwon   +3 more
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Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials

Advances in Difference Equations, 2019
In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim, Dae San Kim, Lee-Chae Jang, D. V. Dolgy   +3 more
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On the sum-of-products to product-of-sums transformation between analytical low-rank approximations in finite basis representation

The European Physical Journal Special Topics, 2023
The transfer of a hydrated proton between water molecules in aqueous solution is accompanied by the large-scale structural reorganization of the environment as the proton relocates, giving rise to the Grotthus mechanism.
Panadés-Barrueta, Ramón, Nadoveza, Natasa, Gatti, Fabien, Peláez, Daniel   +3 more
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An embedding of the universal Askey–Wilson algebra into Uq(sl2)⊗Uq(sl2)⊗Uq(sl2)

Nuclear Physics B, 2017
The Askey–Wilson algebras were used to interpret the algebraic structure hidden in the Racah–Wigner coefficients of the quantum algebra Uq(sl2). In this paper, we display an injection of a universal analog △q of Askey–Wilson algebras into Uq(sl2)⊗Uq(sl2)⊗
Hau-Wen Huang
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Composition of Kinetic Momenta: The U_q(sl(2)) case

, 1993
The tensor products of (restricted and unrestricted) finite dimensional irreducible representations of $\uq$ are considered for $q$ a root of unity. They are decomposed into direct sums of irreducible and/or indecomposable representations.Comment: 27 ...
C. Concini De, C. Gómez, D. Arnaudon, Daniel Arnaudon, E. Date, E. K. Sklyanin, G. Keller, G. Lusztig, M. Rosso, M. Ruiz-Altaba, O. Babelon, P. Roche, V. Pasquier   +12 more
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Representation by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first, third and fourth kinds

Advances in Difference Equations, 2019
The classical linearization problem concerns with determining the coefficients in the expansion of the product of two polynomials in terms of any given sequence of polynomials.
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Dojin Kim   +3 more
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Analytic Coulomb matrix elements in the lowest Landau level in disk geometry

, 2001
Using Darling's theorem on products of generalized hypergeometric series an analytic expression is obtained for the Coulomb matrix elements in the lowest Landau level in the representation of angular momentum.
Cappelli A., Dev G., E. V. Tsiper, Girvin S. M., Goldman V. J., Kasner M., Tsiper E. V., Wojs A.   +7 more
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