Finitely additive invariant measures. I
Finitely additive invariant measures. II
Finitely subadditive outer measures, finitely superadditive inner measures and their measurable sets.
Finite-tight sets
We introduce two notions of tightness for a set of measurable functions - the finite-tightness and the Jordan finite-tightness with the aim to extend certain compactness results (as biting lemma or Saadoune-Valadier’s theorem of stable compactness) to the unbounded case. These compactness conditions highlight their utility when we look for some alternatives to Rellich-Kondrachov theorem or relaxed lower semicontinuity of multiple integrals. Finite-tightness locates the great growths of a set of...
Flows in infinite networks
Fonction convexe d'une mesure et applications
Fonctions continues et séparément additives
Fonctions mesurables et *-scalairement mesurables, mesures banachiques majorées, martingales banachiques, et propriété de Radon-Nikodym
Formes linéaires positives et mesures
Fourier Asymptotics of Statistically Self-Similar Measures.
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems.
Fractal Differential Equations on the Sierpinski Gasket.
Fractal dimension of sets induced by bases of imaginary quadratic fields
Fractal geometry as design aid.
Fractal multiwavelets related to the Cantor dyadic group.
Fractal negations.
From the concept of attractor of a family of contractive affine transformations in the Euclidean plane R2, we study the fractality property of the De Rham function and other singular functions wich derive from it. In particular, we show as fractals the strong negations called k-negations.
Fractal Penrose tiles II: Tiles with fractal boundary as duals of Penrose triangles.
Fractal Penrose tilings I. Construction and matching rules.
Fractal Relaxed Dirichlet Problems.
Fractal star bodies
In 1989 R. Arnold proved that for every pair (A,B) of compact convex subsets of ℝ there is an Euclidean isometry optimal with respect to L₂ metric and if f₀ is such an isometry, then the Steiner points of f₀(A) and B coincide. In the present paper we solve related problems for metrics topologically equivalent to the Hausdorff metric, in particular for metrics for all p ≥ 2 and the symmetric difference metric.