sigma11-026. 717KB Jun 04 2011 12:10:50 AM
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In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero
In this article, we show that the second nearest neighbor correlation function can be simplified with some combinatorial formulae, and give an explicit formula for the third
As a consequence we have studied the conjugate Hamiltonian equations for the second type of Li´enard equation which resembles the Gambier equation in certain respects and have
While generic solutions of the Painlev´e equations are “new transcendental functions”, there are special solutions which are expressible in terms of rational, algebraic, or
This was done by renormalizing the Racah and Askey–Wilson polyno- mials on the top level of the scheme as families of orthogonal polynomials depending on four positive parameters
The linear canonical transformations of geometric optics on two-dimensional screens form the group Sp(4 , ℜ ), whose maximal compact subgroup is the Fourier group U(2) F ; this
This is a variant on the symmetric minimum rank problem for a simple graph , which asks for a determination of the minimum rank among all real symmetric matrices whose
We shall finally point out two examples of functions V and F which lead to the convergence of any sequence of symmetric self-stabilizing invariant measures towards a limit measure
