G. Pantsulaia

collaborators

4 papers

math.CA2016

Representation of the Dirac delta function in $C (R^{\infty})$ in terms of infinite-dimensional Lebesgue measures

Gogi Pantsulaia, Givi Giorgadze

A representation of the Dirac delta function in $C (R^{\infty})$ in terms of infinite-dimensional Lebesgue measures in $R^{\infty}$ is obtained and some it's properties a…

math.CA2016

On uniform distribution for invariant extensions of the linear Lebesgue measure

A. Kirtadze, G. Pantsulaia, N. Rusiashvili

The concept of uniform distribution in $[0, 1]$ is extended for a certain strictly separated maximal (in the sense of cardinality) family $(λ_{t})_{t \in [0, 1]}$ of invariant extensio…

math.CA2015

On a linear non-homogeneous ordinary differential equation of the higher order whose coefficients are real-valued simple step functions

Gogi Pantsulaia, Khatuna Chargazia, Givi Giorgadze

By using the method developed in the paper [G.Pantsulaia, G.Giorgadze, On some applications of infinite-dimensional cellular matrices, {\it Georg. Inter. J. Sci. Tech., Nova Scienc…

math.PR2015

Under Collatz conjecture the Collatz mapping has no an asymptotic mixing property $(mod 3)$

Gogi Pantsulaia

By using properties of Markov homogeneous chains and Banach measure in $N$ , it is proved that a relative frequency of even numbers in the sequence of $n$ -th coordinates of…

Representation of the Dirac delta function in C(R∞) in terms of infinite-dimensional Lebesgue measures

On uniform distribution for invariant extensions of the linear Lebesgue measure

On a linear non-homogeneous ordinary differential equation of the higher order whose coefficients are real-valued simple step functions

Under Collatz conjecture the Collatz mapping has no an asymptotic mixing property (mod3)

Representation of the Dirac delta function in $C (R^{\infty})$ in terms of infinite-dimensional Lebesgue measures

Under Collatz conjecture the Collatz mapping has no an asymptotic mixing property $(mod 3)$