搜索结果: 1-15 共查到“泛函分析 Theory”相关记录17条 . 查询时间(0.082 秒)
Banach space theory is the main theme of this proposal. This theory has a long history going back to the pioneering works by Stefan Banach in the 1930s. It is well-known nowadays that Banach space the...
Let E be a symplectic vector space of dimension 2n (with the
standard antidiagonal symplectic form) and let G be the Lagrangian
Grassmannian over SpecZ, parametrizing Lagrangian subspaces in E
over...
Spatial Evolutionary Game Theory: Deterministic Approximations, Decompositions, and Hierarchical Multi-scale Models
Evolutionary games Hierarchical Multi-scale models
2014/12/8
Evolutionary game theory has recently emerged as a key paradigm in various behavioral science disciplines. In particular it provides powerful tools and a conceptual framework for the analysis of the t...
Real-Variable Theory and Fourier Integral Operators on Semisimple Lie Groups and Symmetric Spaces of Real Rank One
Real-Variable Theory Fourier Integral Operators Semisimple Lie Groups Symmetric Spaces Real Rank One
2014/4/3
Let G be a non-compact connected semisimple Lie group of real rank one with finite center, K a maximal compact subgroup of G and X = G/K an associated symmetric space of real rank one. We will p...
In a previous paper we defined a noncommutative replacement of the Chern-Simons action. In the present paper we investigate and compute the action for a particular example: the quantum group SU_q(2). ...
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 general Kirillov Theory for locally compact nilpotent groups
Kirillov Theory compact nilpotent groups Operator Algebras
2011/9/22
Abstract: We discuss a very general Kirillov Theory for the representations of certain nilpotent groups which gives a combined view an many known examples from the literature.
Noninteraction of waves in two-dimensional conformal field theory
Noninteraction of waves two-dimensional conformal field theory Operator Algebras
2011/9/6
Abstract: In higher dimensional quantum field theory, irreducible representations of the Poincare group are associated with particles. Their counterpart in two-dimensional massless models are "waves" ...
The Super Operator System Structures and their applications in Quantum Entanglement Theory
operator system operator space quantum information theory quantum entanglement Schmidt number
2011/9/5
Abstract: An operator system $\cl S$ with unit $e$, can be viewed as an Archimedean order unit space $(\cl S,\cl S^+,e)$. Using this Archimedean order unit space, for a fixed $k\in \bb N$ we construct...
Hilbert-Kunz theory for nodal cubics, via sheaves
Hilbert-Kunz theory nodal cubics sheaves
2011/1/20
Suppose B = F[x, y, z]/h is the homogeneous coordinate ring of a characteristic p degree 3 irreducible plane curve C with a node. Let J be a homogeneous (x, y, z)-primary ideal and n → en be the Hilbe...
Quasi-shape theory of locally finite and paracompact spaces
Shape quasi-shape locally finite spaces weak homotopy type
2011/2/28
Shape theory works nice for (Hausdorff) paracompact spaces, but for spaces with no separation axioms, it seems to be quite poor. However, for finite and locally finite spaces their weak homotopy type ...
Nontrivial realization of the space-time translations in the theory of quantum fields
Nontrivial realization of the space-time translations theory of quantum fields
2010/12/15
In standard quantum field theory, the one–particle states are classified by unitary epresentations of the Poincar´e group, whereas the causal fields’ classification employs the finite dimensiona...
Information theory of quantum systems with some hydrogenic applications
information theory quantummechanics Fisher information Shannon entropy
2010/12/15
The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is here discussed.
Infinite Bar-Joint Frameworks, Crystals and Operator Theory
nfinite bar-joint framework vanishing flexibility rigidity operator
2010/12/9
A theory of flexibility and rigidity is developed for general infinite bar-joint frameworks (G, p). Determinations of nondeformability through vanishing flexibility are obtained as well
as sufficient...
Group Testing with Probabilistic Tests: Theory, Design and
group testing probabilistic tests sparsity recovery compressed sensing epidemiology
2010/12/8
Identification of defective members of large populations has been widely studied in the statistics community under the name of group testing. It involves grouping subsets of items into different pools...