2002, Studia Mathematica 2
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On a paper of T.M.K. Davison
(2002)In his paper the author shows that Chebyshev polynomials of the first kind show up in relation with d’Alembert’s functional equation. Here we point out a similar property of Chebyshev polynomials concerning the square ... -
Some consequences of a theorem of Liouville
(2002)Let $E_n$ denote the $n$-dimensional Euclidean space and $S$ the group of Euclidean similarities. It is shown that the group $ (g, S)$ generated by $S$ and a single diffeomorphism $g$ outside $S$ has an orbit which is dense ... -
Spectra of certain operators and iterative functional equations
(2002)We discuss spectral properties of the operator $F : D -> F|D|$, defined by \[F|ϕ|f(x) := \sum_{k=0}^∞ \frac{1}{2^k}ϕ(2^kx)\] $D$ is the vector space of real functions $ϕ$ such that the sum above converges for all $x ∈ ... -
A proof of S. Rolewicz's conjecture
(2002)S. Rolewicz’s conjecture concerning solutions of the functional-differential inequality (P) is proved. -
Annales Academiae Paedagogicae Cracoviensis. 13. Studia Mathematica 2
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2002)
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