The Experts below are selected from a list of 182433 Experts worldwide ranked by ideXlab platform
Ugo Aglietti - One of the best experts on this subject based on the ideXlab platform.
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next to leading resummed Coefficient Function for the shape Function
Physics Letters B, 2001Co-Authors: Ugo AgliettiAbstract:Abstract We present a next-to-leading evaluation of the resummed Coefficient Function for the shape Function. The results confirm our previous leading-order analysis, namely that the Coefficient Function is short-distance-dominated, and allow relating the shape Function computed with a nonperturbative technique to the physical QCD distributions.
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Resummed Coefficient Function for the shape Function
arXiv: High Energy Physics - Phenomenology, 2001Co-Authors: Ugo AgliettiAbstract:We present a leading evaluation of the resummed coecient Function for the shape Function. It is also shown that the coecient Function is short-distance-dominated. Our results allow relating the shape Function computed on the lattice to the physical QCD distributions.
Anton Zettl - One of the best experts on this subject based on the ideXlab platform.
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Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign
Canadian Journal of Mathematics, 2003Co-Authors: Xifang Cao, Qingkai Kong, Anton ZettlAbstract:Fora givenSturm-Liouville equation whoseleading Coefficient Function changessign, we es- tablish inequalities among the eigenvalues for any coupled self-adjoint boundary condition and those for two corresponding separated self-adjoint boundary conditions. By a recent result of Binding and Volkmer, the eigenvalues(unbounded from both below and above) for a separated self-adjoint bound- ary condition can be numbered in terms of the Prangle; and our inequalities can then be used to index the eigenvalues for any coupled self-adjoint boundary condition. Under this indexing scheme, we determine the discontinuities of each eigenvalue as a Function on the space of such Sturm-Liouville problems, and its range as a Function on the space of self-adjoint boundary conditions. We also re- late this indexing scheme to the number of zeros of eigenFunctions. In addition, we characterize the discontinuities of each eigenvalue under a different indexing scheme.
Kainam Thomas Wong - One of the best experts on this subject based on the ideXlab platform.
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Spatial-polarizational correlation-Coefficient Function between receiving-antennas in radiowave communications - geometrically modeled, analytically derived, simple, closed-form, explicit formulas
IEEE Transactions on Communications, 2009Co-Authors: Kainam Thomas WongAbstract:This paper analytically derives closed-form expressions of the uplink received-signal's polarization-parameterized spatial-correlation-Coefficient Functions across the basestation antenna-array's spatial aperture, based on a geometrical model of idealized spatial relationships among the transmitter, the scatterers, and the receiving antennas. The derived formulas fit well with some empirical data.
Israel Gohberg - One of the best experts on this subject based on the ideXlab platform.
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Discrete Systems and their Characteristic Spectral Functions
Mediterranean Journal of Mathematics, 2007Co-Authors: Daniel Alpay, Israel GohbergAbstract:We define first-order discrete systems in the matrix-valued case. They are characterized by sequences of pair of matrices, called admissible sequences . We present two important examples of such sequences, called Szegö and Nehari sequences. We introduce the characteristic spectral Functions associated to a first-order system. We define in particular the scattering Function, the Weyl Function and the reflection Coefficient Function and we study the relationships between these Functions.
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Inverse problems associated to a canonical differential system
Recent Advances in Operator Theory and Related Topics, 2001Co-Authors: Daniel Alpay, Israel GohbergAbstract:We solve the inverse problems associated with a differential expression of the form (1.1) for the Weyl Coefficient Function and the reflection Coefficient Function in the case of potentials k(t) of the special form (1.2).
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Inverse problem for Sturm-Liouville operators with rational reflection Coefficient
Integral Equations and Operator Theory, 1998Co-Authors: Daniel Alpay, Israel GohbergAbstract:In this paper we give exact formulas for the potential associated to a Sturm-Liouville equation when the reflection Coefficient Function is rational. The solution is given in terms of a minimal realization of the reflection Coefficient Function.
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Inverse Scattering Problem for Continuous Transmission Lines with Rational Reflection Coefficient Function
Recent Developments in Operator Theory and Its Applications, 1996Co-Authors: Daniel Alpay, Israel Gohberg, Lev A. SakhnovichAbstract:In this paper we obtain explicit formula for the reflexivity Coefficient Function (or potential) of an ordinary differential operator if its reflection Coefficient is a rational matrix valued Function. The solution is given in terms of a realization of the reflection Coefficient Function.
J Schoenleber - One of the best experts on this subject based on the ideXlab platform.
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Two-loop Coefficient Function for DVCS: Vector contributions
Journal of High Energy Physics, 2020Co-Authors: V M Braun, A N Manashov, S Moch, J SchoenleberAbstract:Using the approach based on conformal symmetry we calculate the two-loop Coefficient Function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DVCS). The analytic expression for the Coefficient Function in momentum fraction space is presented in the $\overline{\text{MS}}$ scheme. The corresponding next-to-next-to-leading order correction to the Compton form factor $\mathcal{H}$ for a simple model of the generalized parton distribution appears to be rather large: a factor two smaller than the next-to-leading order correction, approximately $\sim 10$\% of the tree level result in the bulk of the kinematic range, for $Q^2=4$~GeV$^2$.
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two loop Coefficient Function for dvcs vector contributions
Journal of High Energy Physics, 2020Co-Authors: V M Braun, A N Manashov, S Moch, J SchoenleberAbstract:Using the approach based on conformal symmetry we calculate the two-loop Coefficient Function for the vector flavor-nonsinglet contribution to deeply-virtual Compton scattering (DVCS). The analytic expression for the Coefficient Function in momentum fraction space is presented in the $$ \overline{\mathrm{MS}} $$ scheme. The corresponding next-to-next-to-leading order correction to the Compton form factor ℋ for a simple model of the generalized parton distribution appears to be rather large: a factor two smaller than the next-to-leading order correction, approximately ∼ 10% of the tree level result in the bulk of the kinematic range, for Q2 = 4 GeV2.