On Uniqueness Theorems of Aczél and Cellular Internity of Miller
On vanishing n-th ordered differences and Hamel bases
On weighted Hardy and Poincaré-type inequalities for differences.
On Wigner's theorem: Remarks, complements, comments, and corollaries.
On zeros of differences of meromorphic functions
Let f be a transcendental meromorphic function and and . A number of results are obtained concerning the exponents of convergence of the zeros of g(z), , g(z)/f(z), and .
On -invariant measures and a functional equation
On ω-convex functions
In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we try to obtain...
One-parameter system of functional equation. (Summary).
One-parameter system of functional equations.
Opérateurs multiplicativement liés
Operations between sets in geometry
An investigation is launched into the fundamental characteristics of operations on and between sets, with a focus on compact convex sets and star sets (compact sets star-shaped with respect to the origin) in -dimensional Euclidean space . It is proved that if , with three trivial exceptions, an operation between origin-symmetric compact convex sets is continuous in the Hausdorff metric, covariant, and associative if and only if it is addition for some . It is also demonstrated that if ,...
Optimal bounds for the length of rational Collatz cycles
Orbit properties of functions and "Pre-Abel'' equations
Original title unknown
Orlicz spaces which are Lp-spaces.
Orlicz spaces which are Lp-spaces. (Summary).
Orthogonal and additivity modulo a subgroup.
Orthogonality and additivity modulo a subgroup. (Summary).
Orthogonality preserving property, Wigner equation, and stability.
Orthogonally additive mappings on Hilbert modules
We study the representation of orthogonally additive mappings acting on Hilbert C*-modules and Hilbert H*-modules. One of our main results shows that every continuous orthogonally additive mapping f from a Hilbert module W over 𝓚(𝓗) or 𝓗𝓢(𝓗) to a complex normed space is of the form f(x) = T(x) + Φ(⟨x,x⟩) for all x ∈ W, where T is a continuous additive mapping, and Φ is a continuous linear mapping.