Analysis of non scalar control problems for parabolic systems by the block moment method
This article deals with abstract linear time invariant controlled systems of parabolic type. In [9], with A. Benabdallah, we introduced the block moment method for scalar control operators.
Boyer, Franck, Morancey, Morgan
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Boolean algebras of projections and resolutions of the identity of scalar-type spectral operators [PDF]
Let Μ be a Bade complete (or σ-complete) Boolean algebra of projections in a Banach space X. This paper is concerned with the following questions: When is Μ equal to the resolution of the identity (or the strong operator closure of the resolution of the identity) of some scalar-type spectral operator T (with σ(T) ⊆ ℝ) in X?
B. Pagter, W. Ricker
semanticscholar +3 more sources
The mixed Yamabe problem for harmonic foliations [PDF]
The mixed scalar curvature of a foliated Riemannian manifold, i.e., an averaged mixed sectional curvature, has been considered by several geometers. We explore the Yamabe type problem: to prescribe the constant mixed scalar curvature for a foliation by a
Rovenski, Vladimir, Zelenko, Leonid
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Spinning AdS Loop Diagrams: Two Point Functions [PDF]
We develop a systematic approach to evaluating AdS loop amplitudes based on the spectral (or "split") representation of bulk-to-bulk propagators, which re-expresses loop diagrams in terms of spectral integrals and higher-point tree diagrams. In this work
Giombi, Simone +2 more
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On the Non-Hypercyclicity of Normal Operators, Their Exponentials, and Symmetric Operators
We give a simple, straightforward proof of the non-hypercyclicity of an arbitrary (bounded or not) normal operator A in a complex Hilbert space as well as of the collection e t A t ≥ 0 of its exponentials, which, under a certain ...
Marat V. Markin, Edward S. Sichel
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A Dark Sector Extension of the Almost-Commutative Standard Model [PDF]
We consider an extension of the Standard Model within the frame work of Noncommutative Geometry. The model is based on an older model [St09] which extends the Standard Model by new fermions, a new U(1)-gauge group and, crucially, a new scalar field which
Stephan, Christoph A.
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Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics [PDF]
The gravitational anomalies are investigated for generalized Euclidean Taub-NUT metrics which admit hidden symmetries analogous to the Runge-Lenz vector of the Kepler-type problem. In order to evaluate the axial anomalies, the index of the Dirac operator
Atiyah M F +21 more
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OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
Purpose: The scalar wave diffraction by the annular slot in an infinitely thin screen is considered in case of Dirichlet and Neumann boundary conditions. Diffraction problem by a flat ring is also considered as a dual one.
M. E. Kaliberda +2 more
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Properties which normal operators share with normal derivations and related operators [PDF]
Let $S$ and $T$ be (bounded) scalar operators on a Banach space $\scr X$ and let $C(T,S)$ be the map on $\scr B(\scr X)$, the bounded linear operators on $\scr X$, defined by $C(T,S)(X)=TX-XS$ for $X$ in $\scr B(\scr X)$.
Ciprian Poia, Joel Anderson, Let S
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Bounds for OPE coefficients on the Regge trajectory
We consider the Regge limit of the CFT correlation functions JJOO $$ \left\langle \mathcal{JJOO}\right\rangle $$ and T T O O $$ \left\langle TT\mathcal{O}\mathcal{O}\right\rangle $$ , where J $$ \mathcal{J} $$ is a vector current, T is the stress tensor ...
Miguel S. Costa +2 more
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