A method of solving .
A note on formal power series
In this note we investigate a relationship between the boundary behavior of power series and the composition of formal power series. In particular, we prove that the composition domain of a formal power series is convex and balanced which implies that the subset consisting of formal power series which can be composed by a formal power series possesses such properties. We also provide a necessary and sufficient condition for the superposition operator to map into itself or to map into...
A note on the convergence of transfinite sequences
A proof of an Aljančić hypothesis on -regularly varying sequences.
A series transformation formula and related polynomials.
A series whose sum range is an arbitrary finite set
In finite-dimensional spaces the sum range of a series has to be an affine subspace. It has long been known that this is not the case in infinite-dimensional Banach spaces. In particular in 1984 M. I. Kadets and K. Woźniakowski obtained an example of a series whose sum range consisted of two points, and asked whether it was possible to obtain more than two, but finitely many points. This paper answers this question affirmatively, by showing how to obtain an arbitrary finite set as the sum range...
Beiträge zur Theorie der durch die Heinesche Reihe: ... darstellbaren Functionen.
Bemerkung über trigonometrische Reihen
Capacity of Sets and Uniform Distribution of Sequences.
Characterizing wirkfelder of certain classes of summability methods.
Classifications and characterizations of Baire-1 functions
Kechris and Louveau in [5] classified the bounded Baire-1 functions, which are defined on a compact metric space , to the subclasses , . In [8], for every ordinal we define a new type of convergence for sequences of real-valued functions (-uniformly pointwise) which is between uniform and pointwise convergence. In this paper using this type of convergence we obtain a classification of pointwise convergent sequences of continuous real-valued functions defined on a compact metric space , and...
Convergence of composition sequences of bilinear and other transformations , .
Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)
Convergence of functionals and its applications to parabolic equations.
Convergence of sequences of inverse functions
Convergence of sequences of real functions with respect to small systems
Convergence of subseries of the harmonic series and asymptotic densities of sets of positive integers.
Convergent rearrangements of series of vector-valued functions.
Divergent sequences satisfying the linear fractional transformations.
Enhancing the convergence region of a sequence of bilinear transformations.