Fraktály a objektově orientované programování
Functional equations and nowhere differentiable functions.
Functional equations and nowhere differentiable functions. (Summary).
Functional equations for pecular functions.
Geometrische und analytische Untersuchung der Weierstrassschen Function.
Grundlagen für eine Theorie der Functionen einer veränderlichen rellen Grösse [Book]
Hilbert's space filling curves and geodesic laminations.
Lipschitz functions with unexpectedly large sets of nondifferentiability points.
Mass transport problem and derivation
A characterization of the transport property is given. New properties for strongly nonatomic probabilities are established. We study the relationship between the nondifferentiability of a real function f and the fact that the probability measure , where f*(x):=(x,f(x)) and λ is the Lebesgue measure, has the transport property.
Micro tangent sets of continuous functions
Motivated by the concept of tangent measures and by H. Fürstenberg’s definition of microsets of a compact set we introduce micro tangent sets and central micro tangent sets of continuous functions. It turns out that the typical continuous function has a rich (universal) micro tangent set structure at many points. The Brownian motion, on the other hand, with probability one does not have graph like, or central graph like micro tangent sets at all. Finally we show that at almost all points Takagi’s...
Minimal pairs of bounded closed convex sets
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets in a reflexive locally convex topological vector space is proved. An example of a non-reflexive Banach space with an equivalence class containing no minimal element is presented.
Nederivovatelné funkce
Nondifferentiable functions, Haar null sets and Wiener measure
Nonwhere differentiable solutions of a system of functional equations. (Summary).
Nowhere differentiable solutions of a system of functional equations.
O jedné ze stěžejních otázek nauky o funkcích
Obecná teorie derivování funkcí a měr na katedře matematické analýzy MFF UK
Old Friends Revisited; the Multifunctional Nature of Some Classical Functions.
On approximate Dini derivates and one-sided approximate derivatives of arbitrary functions
On continuous functions and the approximate symmetric derivatives