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Displaying 1 – 19 of 19

On a functional equation of Aczél and Chung.

John A. Baker (1993)

Aequationes mathematicae

On an Invariant Borel Measure in Hilbert Space

G. Pantsulaia (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

An example of a nonzero σ-finite Borel measure μ with everywhere dense linear manifold $_{μ}$ of admissible (in the sense of invariance) translation vectors is constructed in the Hilbert space ℓ₂ such that μ and any shift $μ^{(a)}$ of μ by a vector $a \in ℓ ₂ ∖_{μ}$ are neither equivalent nor orthogonal. This extends a result established in [7].

On approximation of copulas.

Kulpa, Tomasz (1999)

International Journal of Mathematics and Mathematical Sciences

On Atoms of Measures on Product Spaces.

D. Mussmann (1983)

Metrika

On concentration of self-bounding functions.

Boucheron, Stephane, Lugosi, Gabor, Massart, Pascal (2009)

Electronic Journal of Probability [electronic only]

On Fubini theorem for general Perron integral

Jaroslav Kurzweil (1973)

Czechoslovak Mathematical Journal

On integration in Banach spaces, IV

Ivan Dobrakov (1980)

Czechoslovak Mathematical Journal

On integration in Banach spaces, V

Ivan Dobrakov (1980)

Czechoslovak Mathematical Journal

On Kakutani's Dichotomy Theorem for Infinitive Products of not Necessarily Independent Functions.

G. Ritter (1979)

Mathematische Annalen

On Ordinary and Standard Lebesgue Measures on $ℝ^{\infty}$

Gogi Pantsulaia (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

New concepts of Lebesgue measure on $ℝ^{\infty}$ are proposed and some of their realizations in the ZFC theory are given. Also, it is shown that Baker’s both measures [1], [2], Mankiewicz and Preiss-Tišer generators [6] and the measure of [4] are not α-standard Lebesgue measures on $ℝ^{\infty}$ for α = (1,1,...).