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be a compact nowhere dense subset of the complex plane, and let
denote two-dimensional or area measure on
denote the uniform closure of the rational functions having no poles on
, and for each
$$p,\, 1\le p<\infty $$
be a locally compact group and
be an LCA group also let
$$\tau :H\rightarrow Aut(K)$$
be a continuous homomorphism and
$$G_\tau =H\ltimes _\tau K$$
be the semidirect product of
with respect to
. In this article we define the Zak transform...
Rational quantum algebraically integrable systems are non-trivial generalizations of Laplacian operators to the case of elliptic operators with variable coefficients. We study corresponding extensions of Laplacian growth connected with algebraically integrable systems, describing viscous...
Classically important examples of Lie superalgebras have been constructed starting from the Witt and Virasoro algebra. In this article we consider Lie superalgebras of Krichever–Novikov type. These algebras are multi-point and higher genus equivalents. The grading in the classical case is...
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