Cantor sets in Prohorov spaces
Caractérisation des mesures qui intègrent toutes les fonctions réelles mesurables
Cardinal characteristics of the ideal of Haar null sets
We calculate the cardinal characteristics of the -ideal of Haar null subsets of a Polish non-locally compact group with invariant metric and show that . If is the product of abelian locally compact groups , then , , and , where is the ideal of Lebesgue null subsets on the real line. Martin Axiom implies that and hence contains a Haar null subset that cannot be enlarged to a Borel or projective Haar null subset of . This gives a negative (consistent) answer to a question of...
Category measures on Baire spaces.
The purpose of this paper is to give a necessary and sufficient condition to define a category measure on a Baire topological space. In the last section we give some examples of spaces in these conditions.
Central Idempotents in Measure Algebras.
Certaines propriétés des mesures sur les espaces de Banach
Cesari-Weierstrass surface integrals and lower -area
Characterization of Baire-one functions between topological spaces
Characterizations of outer measures associated with lattice measures.
Christensen measurability of polynomial functions and convex functions of higher orders
Christensen measurable solutions of generalized Cauchy functional equations.
Christensen measurable solutions of generalized Cauchy functional equations. (Short Communications).
Classes de protenseurs distributions contravariants
Compacity in narrow limit tower spaces.
Compactness in spaces of uniform measures (Preliminary communication)
Comparing measure theoretic entropy for -finite measures with topological entropy
Complete duals of C*(X).
Completion regularity and -additivity of measures on product spaces
Concerning a certain -algebra in compact Hausdorff spaces
Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space
We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space . An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space . Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur...