sigma09-044. 563KB Jun 04 2011 12:10:26 AM
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For instance, it allows us to characterize the discrete spectrum and the corresponding eigenfunctions of the system by means of (finite/infinite) irreducible unitary
type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the
The main idea is to consider the Lax pair ( 4 ) as equations for algebraic curves with respect to the unknown variables of the Painlev´e equation.. For the elliptic case,
It is clear that the above three resonance expansions are obtained by analytically continuing the Lippmann–Schwinger bras and kets “from above to below” only if the
In this section, we summarize facts concerning rational structures and uniform subgroups in a connected, simply connected nilpotent Lie groups. The homogeneous space G/ Γ is called
In this section we collect some well-known facts on linear Poisson structures and Lie algebroids in order to fix our notation. For details see e.g.. This also motivates the notion
The aim of the following section is to characterize conformal structures arising from generic rank 2 distributions in dimension five in terms of normal conformal Killing
In Section 6 we introduce the T and Y-systems associated with a class of cluster algebras, which include the restricted T and Y-systems of simply laced type as special cases..
