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It is shown that a Korovkin-type theorem does not hold in the weighted space of Lp-locally integrable functions on the whole real axis.
On Integrable Systems Related to Semisimple Lie Groups     Integrable Systems  Semisimple Lie Groups       font style='font-size:12px;'> 2010/4/15
Quantum scattering systems related to the noncompact semisimple Lie groups G in the sense that the Hamiltonian of the system can be written as a function of the Casimir operator of G are considered. T...
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to calculate the characte...
In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of isometries are consider...
Abel ODEs: Equivalence and Integrable Classes     Abel ODEs   Equivalence  Integrable Classes       font style='font-size:12px;'> 2010/11/2
A classification, according to invariant theory, of non-constant invariant Abel ODEs known as solvable and found in the literature is presented. A set of new integrable classes depending on one or no...
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We a...
Quantum Integrable Systems of the Group SU(1, 1)     Quantum Integrable Systems  Group SU(1, 1)       font style='font-size:12px;'> 2010/4/19
Quantum integrable systems related with SU(1, 1) group manifold or hyperboloid [x, x] = x21 + x22 - x23 - x24 = 1 in spherical, hyperbolic and parabolic coordinates systems are considered. The explici...

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