Hilbert space
Top PDF Hilbert space:
Hypercyclicity of translation operators in a reproducing kernel Hilbert space of entire functions induced by an analytic Hilbert-space- valued kernel
... the space of entire functions endowed with the topology of the uniform convergence on compact sets (see, for instance, ...the Hilbert space H K , the series on the rigth side of ...
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Performance of autonomous quantum thermal machines: Hilbert space dimension as a thermodynamical resource
... its Hilbert space dimension (or equivalently the number of its available levels) and its ...the Hilbert space dimension of the machine: Reaching absolute zero temperature requires infinite ...
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Group of motions of a hilbert space and unitary represnetations of gauge groups
... In order to describe the Lie algebra of Aff( H ), we need to see how is the Lie algebra structure of ( H , +). We can identify H with its Lie algebra, h = T 0 ( H ), because it is a Hilbert space. Since H it ...
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Hájek Rényi inequality for dependent random variables in Hilbert space and applications
... Abstract. In this paper, we obtain some H´ ajek-R´ enyi inequalities for sequences of Hilbert valued random variables which are associated, negatively associated and φ-mixing. As applications, we give some almost ...
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An automatic statistical inference approach using hilbert space embeddings and approximate bayesian computation
... The number of different ABC methods that have been proposed across the literature is so large that it would be difficult to classify them. However, two large groups could be highlighted: the ones that work with ...
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Bloch functions on the unit ball of an infinite dimensional Hilbert space
... Bearing in mind the classical Bloch spaces defined on the unit ball of C and C n , and their possible definitions, we set the following possible norms on the space for the unit ball of E. Definition 2.1. We define ...
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A general formulation for fault detection in stochastic continuous-time dynamical systems
... The unified setting, based on the definition of a pre-Hilbert space, successfully gathers the existing detection schemes for continuous-time stochastic dynamical systems [2, 4].. The qu[r] ...
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Moore Penrose inverse and doubly commuting elements in C* algebras
... Remark 3.8. It iw worth noticing that Theorems 3.2 and 3.4-3.7 can be extended to other tuples of C ∗ -algebra elements and of Hilbert space operators respectively in the same way that it was done in ...
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Lie Algebra Representations and Rigged Hilbert Spaces: the SO(2) case
... that Hilbert spaces are not sufficient for a thoroughly formulation of Quan- tum Mechanics even within the non-relativistic con- ...the Hilbert space of square integrable wave ...than Hilbert ...
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Chiral partition functions of quantum Hall droplets
... Chiral partition functions of conformal field theory describe the edge exci- tations of isolated Hall droplets. They are characterized by an index specifying the quasiparticle sector and transform among themselves by a ...
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The problem of entanglement of quantum states
... A quantum system is kinematically specified by a complex Hilbert space H (there are hardly cases where a separable space will not do). The physical “ob- servables” are identified with linear ...
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DMRG algorithm and quantum phase transitions
... ω( 1 A ) = T r(ρ) = 1 ω(α ∗ ) = ω(α) ω(α ∗ α) > 0, ( 5 . 1 ) for α ∈ A . The last property can be easily checked by calculating T r(α ∗ αρ) in the diagonal basis of ρ , regarding that the trace is invariant under ...
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Dynamics of algebras in quantum unstable systems
... We introduce a dynamical evolution operator for dealing with unstable physical process, such as scattering resonances, photon emission, decoher- ence and particle decay. With that aim, we use the formalism of rigged ...
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On the Use of Boundary Integral Equations and Linear Operators in Room Acoustics
... of Hilbert Space methods to the solution of integral equations, where the goal is again to best approximate the exact ...the Hilbert Space norm-2: ...
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Unbounded B-Fredholm operators on Hilbert spaces
... Abstract This paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space H and called B-Fredholm operators. We characterize a B-Fredholm operator as the direct ...
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Posinormal factorable matrices with a constant main diagonal
... was observed that the set of all posinormal operators on any Hilbert space is an enormous collection that includes every invertible operator and all the hyponormal operators. Some key facts about posinormal ...
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Canonical group quantization and rotation generators for indistinguishable particles
... phase space and the algebra of operators acting on Hilbert ...configuration space makes the method particularly appealing for our ...projective space, the obtained operators coincide with ...
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Formal concept analysis and structures underlying quantum logics
... A Hilbert space H induces a formal context, the Hilbert for- mal context H , whose associated concept lattice is isomorphic to the lattice of closed subspaces of H ...between Hilbert contexts, ...
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Spherical harmonics and rigged Hilbert spaces
... In a previous paper [6], we have given a RHS supporting unitary irreducible representations for SO(2). This is a quite simple example, in which the simultaneous use of continuous and discrete bases, as is customary in ...
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Conway
... between Hilbert spaces and the Banach spaces that are studied in the next ...of Hilbert space is contained in the preceding ...Banach space lies in darkness and has attracted the attention of ...
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