Existence of feasible potentials on infinite networks.
Existence of positive harmonic functions on groups and on covering manifolds
Existence of quasi-isometric mappings and Royden compactifications.
Exponentials Form a Basis of Discrete Holomorphic Functions on a Compact
We show that discrete exponentials form a basis of discrete holomorphic functions on a finite critical map. On a combinatorially convex set, the discrete polynomials form a basis as well.
Extremal plurisubharmonic functions
We study different notions of extremal plurisubharmonic functions.
Extremal plurisubharmonic functions and invariant pseudodistances
Extremal plurisubharmonic functions in
Extreme Nonmonotoneity of the Picard Principle.
- transfinite diameter and number theoretic applications
Families of polynomials and determining measures
Familles résolvantes, générateurs, co-générateurs, potentiels
Nous étudions, dans les espaces de Banach, les familles résolvantes (ou pseudo-résolvantes) et les “générateurs” qu’on peut leur associer quand tend vers zéro ou quand tend vers l’infini. Lorsque la famille résolvante est à contraction, ces “générateurs” qu’on peut leur associer quand tend vers zéro ou quand tend vers l’infini. Lorsque la famille résolvante est à contraction, ces “générateurs” vérifient des “principes du maximum” qui sont des versions “abstraites” de principes du maximum...
Fatou and Littlewood related theorems and a convergence property in the R.S. Martin topology.
Fatou theorems and maximal functions for eigenfunctions of the Laplace-Beltrami operator in a bidisk.
Feller semigroups, Dirchlet forms, and pseudo differential operators.
Feynman-Kac formula, λ-Poisson kernels and λ-Green functions of half-spaces and balls in hyperbolic spaces
We apply the Feynman-Kac formula to compute the λ-Poisson kernels and λ-Green functions for half-spaces or balls in hyperbolic spaces. We present known results in a unified way and also provide new formulas for the λ-Poisson kernels and λ-Green functions of half-spaces in ℍⁿ and for balls in real and complex hyperbolic spaces.
Fine localization in potential theory [Abstract of thesis]
Fine topology and -harmonic morphisms.
Fine topology of variable exponent energy superminimizers.
Finely differentiable monogenic functions
Since 1970’s B. Fuglede and others have been studying finely holomorhic functions, i.e., ‘holomorphic’ functions defined on the so-called fine domains which are not necessarily open in the usual sense. This note is a survey of finely monogenic functions which were introduced in (Lávička, R., A generalisation of monogenic functions to fine domains, preprint.) like a higher dimensional analogue of finely holomorphic functions.
Finely holomorphic and finely subharmonic functions in contour-solid problems.