Asymptotic Behavior of Lotz-Rabiger and Martingale Nets

Using Theorem 1 (of convergence) in [1], we prove several results on LR- and M-nets by a unified approach to these nets that appear as the two extreme types of asymptotically abelian nets.


Differential - Operator solutions for complex partial differential equations
Celebi, O; Sengul, S (1998-07-10)
The solutions of complex partial differential equations of order four are obtained by using polynomial differential operators. A correspondence principle is also derived for the solutions of two different differential equations, imposing conditions on the coefficients.
Equivariant Picard groups of the moduli spaces of some finite Abelian covers of the Riemann sphere
Ozan, Yıldıray (2023-03-01)
In this note, following Kordek's work we will compute the equivariant Picard groups of the moduli spaces of Riemann surfaces with certain finite abelian symmetries.
Isovector axial vector form factors of octet-decuplet hyperon transition in QCD
KÜÇÜKARSLAN, AYŞE; Ozdem, U.; Özpineci, Altuğ (2015-01-01)
We calculate the isovector axial vector form factors of the octet-decuplet hyperon transitions within the framework of the light-cone QCD sum rules to leading in QCD and including higher-twist corrections. In particular, we motivate the most recent version of the Sigma and Lambda baryons distribution amplitudes, which are examined up to twist-6 based on conformal symmetry of the massless QCD Lagrangian.
Asymptotically absorbing nets of positive operators
Emelyanov, Eduard (2012-10-01)
This paper is devoted to asymptotically absorbing operator nets. The study of such nets has attracted an attention in [19, 20] in connection with the notion of the Lotz - Räbiger nets on a Banach space which had been studied recently in [4, 8, 9, 18-20]. In the present paper, we focus mainly on the case of nets of positive linear operators. © 2012 Allerton Press, Inc.
Invariant manifolds and Grobman-Hartman theorem for equations with degenerate operator at the derivative
Karasözen, Bülent; Loginov, B (2003-01-01)
Analog of Grobman-Hartman theorem about stable and unstable manifolds solutions for differential equations in Banach spaces with degenerate Fredholm operator at the derivative are proved. In contrast to usual evolution equation here central manifold arises even in the case of spectrum absence on the imaginary axis. Jordan chains tools and implicit operator theorem are used. The obtained results allow to develop center manifold methods for computation of bifurcation solution asymptotics and their stability i...
Citation Formats
E. Emelyanov, “Asymptotic Behavior of Lotz-Rabiger and Martingale Nets,” SIBERIAN MATHEMATICAL JOURNAL, vol. 51, no. 5, pp. 810–817, 2010, Accessed: 00, 2021. [Online]. Available: