Characterization of globally Lipschitzian composition operators in the Banach space
We give a characterization of the globally Lipschitzian composition operators acting in the space
Characterizations of certain general and reproductive solutions of arbitrary equations
Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements. (Short Communication).
Characterizations of sum form information measures on open domains.
Charakterisierung der Funktion 1/x durch Funktionalgleichungen
Charakterisierung des Cotangens mit Replikativität.
Charakterisierungen von nirgends differenzierbaren Weierstraß-Funktionen durch Replikativität.
Christensen measurability of polynomial functions and convex functions of higher orders
Christensen measurable solutions of generalized Cauchy functional equations.
Christensen measurable solutions of generalized Cauchy functional equations. (Short Communications).
Cliff functions - a tool for treating sequences of composed functions.
Cliff functions - a tool for treating sequences of composed functions. (Short Communication).
Commutativity of set-valued cosine families
Let K be a closed convex cone with nonempty interior in a real Banach space and let cc(K) denote the family of all nonempty convex compact subsets of K. If F t: t ≥ 0 is a regular cosine family of continuous additive set-valued functions F t: K → cc(K) such that x ∈ F t(x) for t ≥ 0 and x ∈ K, then .
Commuting functions and simultaneous Abel equations
The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.
Complementary permutations for abelian groups.
Complementary permutations for abelian groups. (Summary).
Comportement d'itérations d'un opérateur de renormalisation
Composite n-forms and Cauchy kernels.
Composite rational functions expressible with few terms
We consider a rational function which is ‘lacunary’ in the sense that it can be expressed as the ratio of two polynomials (not necessarily coprime) having each at most a given number of terms. Then we look at the possible decompositions , where are rational functions of degree larger than 1. We prove that, apart from certain exceptional cases which we completely describe, the degree of is bounded only in terms of (and we provide explicit bounds). This supports and quantifies the intuitive...
Concave iteration semigroups of linear continuous set-valued functions
Let F t: t ≥ 0 be a concave iteration semigroup of linear continuous set-valued functions defined on a convex cone K with nonempty interior in a Banach space X with values in cc(K). If we assume that the Hukuhara differences F 0(x) − F t (x) exist for x ∈ K and t > 0, then D t F t (x) = (−1)F t ((−1)G(x)) for x ∈ K and t ≥ 0, where D t F t (x) denotes the derivative of F t (x) with respect to t and for x ∈ K.