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In Section 2 we will derive some results about the structure of K(βS) that hold if the minimal left ideals of βS have isolated points as well as several characterizations of

For instance, we have established sufficient conditions of the extinction and persistence in mean of the disease, as well as the existence of stationary distribution.. However,

Keywords Poset · Rational function identities · Valuation of cones · Lattice points · Affine semigroup ring · Hilbert series · Total residue · Root system · Weight lattice..

We establish different fundamental inequalities on a class of multistructures, more precisely Poincaré’s inequality for second and fourth order (scalar) opera- tors as well as

8.1 In § 8.1 ∼ § 8.3, we give some explicit formulas on the Jacobi functions, which are key to the proof of the Parseval-Plancherel type formula of branching laws of

The explicit treatment of the metaplectic representa- tion requires various methods from analysis and geometry, in addition to the algebraic methods; and it is our aim in a series

We have avoided most of the references to the theory of semisimple Lie groups and representation theory, and instead given direct constructions of the key objects, such as for

Bipartite maps (also called hypermaps, or dessins d’enfants ) : vertices are either black or white, and monochromatic edges