搜索结果: 1-15 共查到“数学 noncommutative”相关记录40条 . 查询时间(0.062 秒)
AN ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
ALMOST PERIODIC NONCOMMUTATIVE WIENER’S LEMMA
2015/9/29
We develop a theory of almost periodic elements in Banach algebras and present an abstract version of anoncommutative Wiener’s Lemma. The theory can be used, for example, to derive some of the recentl...
THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
Markov bases for noncommutative Fourier analysis of ranked data
Calibration markov chain monte carlo techniques data sets and statistical analysis
2015/7/8
To calibrate Fourier analysis of S5 ranking data by Markov chain Monte Carlo techniques, a set of moves (Markov basis) is needed. We calculate this basis, and use it to provide a new statistical analy...
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Involutive Banach algebra crossed product structure of ideals spectral synthesis topological dynamical system
2012/6/12
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
On the stratification of noncommutative prime spectra
algebraic group rational action algebraic torus rational ideal prime spectrum stratification
2012/6/6
We study rational actions of an algebraic torus G by automorphisms on an associative algebra R. The G-action on R induces a stratification of the prime spectrum of R which was introduced by Goodearl a...
Noncommutative desingularization of orbit closures for some representations of $GL_n$
determinantal variety symmetric minor pfaffian partial flag variety exceptional collection derived equivalence quiver with relations
2012/4/18
We describe noncommutative desingularizations of determinantal varieties, determinantal varieties defined by minors of generic symmetric matrices, and pfaffian varieties defined by pfaffians of generi...
Curved noncommutative torus and Gauss--Bonnet
noncommutative torus Gauss--Bonnet Quantum Algebra
2012/4/18
We study perturbations of the flat geometry of the noncommutative two-dimensional torus T^2_\theta (with irrational \theta). They are described by spectral triples (A_\theta, \H, D), with the Dirac op...
Chern-Simons theory for the noncommutative 3-torus
Chern-Simons theory the noncommutative 3-torus Operator Algebras
2012/4/18
We study the Chern-Simons action, which was defined for noncommutative spaces in general by the author, for the noncommutative 3-torus, the universal C*-algebra generated by 3 unitaries. D. Essouabri,...
A Chern-Simons action for noncommutative spaces
Chern-Simons action noncommutative spaces Operator Algebras
2012/4/18
Witten constructed a topological quantum field theory with the Chern-Simons action as Lagrangian. We define a proper noncommutative generalization of the Chern-Simons action. "Proper", in this context...
Fixed Points Theorems of Ordered Contractive Maps on Noncommutative Banach spaces
Fixed point Order contractive map Noncommutative Banach space
2011/10/26
The paper introduces the concept of noncommutative Banach spaces and obtains several fixed point theorems for continuous or discontinuous ordered contractive maps in ordered noncommutative Banach spac...
Algebraic proofs over noncommutative formulas
Proof complexity Algebraic proof systems Frege proofs Lower bounds Polynomial calculus
2012/12/4
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least as strong as Frege, ...
Square functions for Ritt operators on noncommutative $L^p$-spaces
noncommutative Lp-space Ritt operator square function Stolz domain functional calculus
2011/9/14
Abstract: For any Ritt operator $T$ acting on a noncommutative $L^p$-space, we define the notion of \textit{completely} bounded functional calculus $H^\infty(B_\gamma)$ where $B_\gamma$ is a Stolz dom...
Index theory for locally compact noncommutative geometries
Index theory compact noncommutative geometries Operator Algebras K-Theory and Homology
2011/8/25
Abstract: Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over nonunital alg...
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
Noncommutative oscillators Hopf algebra twist deformation principles derivation
2011/3/3
Noncommutative oscillators are first-quantized through an abelian Drinfel’d twist deformation of a Hopf algebra and its action on a module. Several impor-tant and subtle issues making possible the qua...
Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
Instantons Quivers Noncommutative Donaldson-Thomas Theory
2011/3/2
We construct noncommutative Donaldson{Thomas invariants associated with abelian orbifold
singularities by analysing the instanton contributions to a six-dimensional topological gauge
theory.