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.
Concave iteration semigroups of linear set-valued functions
We consider a concave iteration semigroup of linear continuous set-valued functions defined on a closed convex cone in a separable Banach space. We prove that such an iteration semigroup has a selection which is also an iteration semigroup of linear continuous functions. Moreover it is majorized by an "exponential" family of linear continuous set-valued functions.
Concentration of measure on product spaces with applications to Markov processes
For a stochastic process with state space some Polish space, this paper gives sufficient conditions on the initial and conditional distributions for the joint law to satisfy Gaussian concentration inequalities and transportation inequalities. In the case of the Euclidean space , there are sufficient conditions for the joint law to satisfy a logarithmic Sobolev inequality. In several cases, the constants obtained are of optimal order of growth with respect to the number of random variables, or are...
Concerning functional equations of the generalized Bol-Moufang type.
Conditional function equations and orthogonal additivity.
Conditions for the oscillation of solutions of iterative equations.
Condizioni di ridondanza per l'equazione funcionale f(k(t)+h(t)) = f(k(t))+f(h(t)).
In this note we study questions of redundancy concerning the functional equation f(h(x)+k(x)) = f(h(x))+f(k(x)), where h and k are given functions and f is the unknown function.