Subgroups of the Clifford group.
Subgroups of the group Zn and a generalization of the Golab-Schinzel functional equation.
Sublinear Functions on R.
Submultiplicative functions and operator inequalities
Let T: C¹(ℝ) → C(ℝ) be an operator satisfying the “chain rule inequality” T(f∘g) ≤ (Tf)∘g⋅Tg, f,g ∈ C¹(ℝ). Imposing a weak continuity and a non-degeneracy condition on T, we determine the form of all maps T satisfying this inequality together with T(-Id)(0) < 0. They have the form Tf = ⎧ , f’ ≥ 0, ⎨ ⎩ , f’ < 0, with p > 0, H ∈ C(ℝ), A ≥ 1. For A = 1, these are just the solutions of the chain rule operator equation. To prove this, we characterize the submultiplicative, measurable functions...
Substitution systems associated with the dynamical system (𝒜, Tf)*
We consider the dynamical system (𝒜, Tf), where 𝒜 is a class of differential real functions defined on some interval and Tf : 𝒜 → 𝒜 is an operator Tfφ := fοφ, where f is a differentiable m-modal map. If we consider functions in 𝒜 whose critical values are periodic points for f then, we show how to define and characterize a substitution system associated with (𝒜, Tf). For these substitution systems, we compute the growth rate of the...
Sugeno's negations and T-norms.
A functional characterization of Sugeno's negations is presented and as a consequence, we study a family of non strict Archimedean t-norms whose (vertical-horizontal) sections are straight lines.
Sulla costruzione della soluzione generale di una classe di equazioni funzionali.
We consider a functional equation of the formG(x, phi(f1(x)), ..., phi(fr(x))) = cin the unknown function phi.We present a method to construct the general solution of this equation under suitable hypotheses on the functions Inf i fi and Supi fi.
Sums of an entire function in certain weighted L2-spaces.
We consider the functional equation f(z+σ) - f(z) = g(z) where σ is a complex number, f and g are entire functions of a complex variable z, with growth conditions. We prove the existence of certain types of solutions of this equation by an a priori estimate method in certain weighted L2-spaces.
Sums of weight vectors and sums of semilinear functions.
Supernumary polylogarithmic ladders and related functional equations.
Supersensitivity for a discrete-time aggregation model.
Superstability and stability of the pexiderized multiplicative functional equation.
Superstability for generalized module left derivations and generalized module derivations on a Banach module. II.
Superstability for generalized module left derivations and generalized module derivations on a Banach module. I.
Superstability of functional equations related to spherical functions
In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Superstability of generalized derivations.
Superstability of generalized multiplicative functionals.
Superstability of multipliers and ring derivations on Banach algebras.
Superstability of some Pexider-type functional equation.
Sur certaines équations analogues aux équations différentielles