All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 65 Next

Displaying 1281 – 1300 of 1591

Showing per page

Solvability of the functional equation f = (T-I)h for vector-valued functions

Ryotaro Sato (2004)

Colloquium Mathematicae

Let X be a reflexive Banach space and (Ω,,μ) be a probability measure space. Let T: M(μ;X) → M(μ;X) be a linear operator, where M(μ;X) is the space of all X-valued strongly measurable functions on (Ω,,μ). We assume that T is continuous in the sense that if (fₙ) is a sequence in M(μ;X) and l i m n → ∞ f ₙ = f in measure for some f ∈ M(μ;X), then also l i m n → ∞ T f ₙ = T f in measure. Then we consider the functional equation f = (T-I)h, where f ∈ M(μ;X) is given. We obtain several conditions for the existence of h ∈ M(μ;X) satisfying...

Some aspects of the local theory of generalized Dhombres functional equations in the complex domain

Jörg Tomaschek (2012)

ESAIM: Proceedings

We study the generalized Dhombres functional equation f(zf(z)) = ϕ(f(z)) in the complex domain. The function ϕ is given and we are looking for solutions f with f(0) = w0 and w0 is a primitive root of unity of order l ≥ 2. All formal solutions for this case are described in this work, for the situation where ϕ can be transformed into a function which is linearizable and local analytic in a neighbourhood of zero we also show...

Currently displaying 1281 – 1300 of 1591