Finite-dimensional calculus
Identifieur interne : 006C70 ( Hal/Corpus ); précédent : 006C69; suivant : 006C71Finite-dimensional calculus
Auteurs : Philip Feinsilver ; René SchottSource :
- Journal of Physics A: Mathematical and Theoretical [ 1751-8113 ] ; 2009.
English descriptors
Abstract
We develop finite-dimensional calculus using matrices. The truncated Heisenberg-Weyl algebra is called a TAA algebra after Tekin, Aydin, and Arik who formulated it in terms of orthofermions. the matrix approach is used to implement our method of polynomial inversion in one-variable and multivariable settings. Here we establish notations, present some algebraic developments, and discuss the univariate case in detail.
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Hal:hal-00186130Le document en format XML
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<front><div type="abstract" xml:lang="en">We develop finite-dimensional calculus using matrices. The truncated Heisenberg-Weyl algebra is called a TAA algebra after Tekin, Aydin, and Arik who formulated it in terms of orthofermions. the matrix approach is used to implement our method of polynomial inversion in one-variable and multivariable settings. Here we establish notations, present some algebraic developments, and discuss the univariate case in detail.</div>
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<abstract xml:lang="en">We develop finite-dimensional calculus using matrices. The truncated Heisenberg-Weyl algebra is called a TAA algebra after Tekin, Aydin, and Arik who formulated it in terms of orthofermions. the matrix approach is used to implement our method of polynomial inversion in one-variable and multivariable settings. Here we establish notations, present some algebraic developments, and discuss the univariate case in detail.</abstract>
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