sigma09-036. 327KB Jun 04 2011 12:10:25 AM
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We reviewed how our gluing procedure for the poles of the Lax matrix of the Gaudin model can be applied in the quantum case to yield new quantum Gaudin algebras. Also, by means
Generalizations of this functional identity are studied, where the functions involved are derivatives (including derivatives with respect to the modular parameter) of the
Key words: elliptic Frobenius determinant; QD -algorithm; orthogonal and biorthogonal polynomials on the unit circle; dense point spectrum; elliptic hypergeometric
Regarding the q - difference Painlev´e equations, the hypergeometric solutions to those equations have been con- structed by means of a geometric approach and direct linearization
In this spirit, the Hilbert transform, a basic tool in signal processing and in Fourier and harmonic analysis as well, may be defined by means of partial derivatives, so that, since
[31] Spiridonov V.P., On the analytical properties of infinite elliptic hypergeometric series, talk presented at the workshop “Elliptic Integrable Systems, Isomonodromy Problems,
Elkin [12, 13] has studied equivalence of affine distributions on manifolds of dimension n ≤ 4 under diffeomorphisms of the underlying manifolds, resulting in local normal forms for
As we shall see, the equivalence problem for polynomial subspaces furnishes interesting analogues and extensions of certain concepts from the classical invariant theory of
