sigma09-032. 224KB Jun 04 2011 12:10:25 AM
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A linear operator acting in a Hilbert space and defined on the whole space is called completely continuous if it maps bounded sets into relatively compact sets (a set is
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
To this end we extend the classical Heaviside algorithm, which is intended for solving initial value problems for ordinary linear differential equations with constant coefficients
Generalizations of this functional identity are studied, where the functions involved are derivatives (including derivatives with respect to the modular parameter) of the
For example the Deligne conjecture: the Hochschild cochain complex CH ∗ ( A ) of an associative algebra A is a homotopy Gerstenhaber algebra (or more precisely, an algebra over
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 other words, the flatness relation ( 16.1 ) is the local consistency relation for the horizontal condition.) As we shall see below there is no obstruction in patching together
[31] Spiridonov V.P., On the analytical properties of infinite elliptic hypergeometric series, talk presented at the workshop “Elliptic Integrable Systems, Isomonodromy Problems,
