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The cohomological structure of hypersphere arragnements is given. The Gauss-Manin connections for related hypergeometrtic integrals are given in terms of invariant forms. They are used to get the explicit differential formula for the volume of a simplex whose faces are hyperspheres.

General construction of non-dense disjoint iteration groups on the circle

Krzysztof Ciepliński (2005)

Czechoslovak Mathematical Journal

Let $ℱ = {F^{v} 𝕊^{1} \to 𝕊^{1}, v \in V}$ be a disjoint iteration group on the unit circle $𝕊^{1}$ , that is a family of homeomorphisms such that $F^{v_{1}} \circ F^{v_{2}} = F^{v_{1} + v_{2}}$ for $v_{1}$ , $v_{2} \in V$ and each $F^{v}$ either is the identity mapping or has no fixed point ( $(V, +)$ is a $2$ -divisible nontrivial Abelian group). Denote by $L_{ℱ}$ the set of all cluster points of ${F^{v} (z)$ , $v \in V}$ for $z \in 𝕊^{1}$ . In this paper we give a general construction of disjoint iteration groups for which $\emptyset \neq L_{ℱ} \neq 𝕊^{1}$ .

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Funktionalgleichungen für konstante Funktionen.

Funktionalgleichungen in reellen Vektorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos.

Funktionalgleichungen in reellen Verktorräumen und verallgemeinerte Cauchy-Riemannsche Differentialgleichungen, speziell die Weylsche Gleichung des Neutrinos. (Short Communication).

Funktionalungleichungen und Iterationsverfahren.

Further evidence against independence preservation in expert judgement synthesis.

Further extending results of some classes of complex difference and functional equations.

Further results on stability of normal regionas for linear homogeneous functional equations.

Fuzzy stability of additive functional inequalities with the fixed point alternative.

Fuzzy stability of an additive-quadratic-quartic functional equation.

Fuzzy stability of Jensen-type quadratic functional equations.

Fuzzy stability of quadratic functional equations.

Fuzzy stability of the pexiderized quadratic functional equation: A fixed point approach.

$G$ - $n$ -quasigroups.

Gauss-Manin connections of Schläfli type for hypersphere arrangements

General construction of non-dense disjoint iteration groups on the circle

General continuous solution of a linear homogeneous functional equation

General inequalities for quasideviation means.

General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions.

General theory of the translation equation.

Generalization of sum representation functional equations. I.

Currently displaying 421 – 440 of 1591