output
20062019
most citedp-Adic refinable functions and MRA-based wavelets

14 citations

12 papers

math.HO2019

In Search of Shadows: the First Topological Conference, Moscow 1935

D. E. Apushkinskaya, A. I. Nazarov, G. I. Sinkevich

We discuss some mistakes and curiosities concerned with the celebrated First International Topological Conference in Moscow, 1935.

astro-ph.CO2016★ 12 cited

Large-Scale Fluctuations in the Number Density of Galaxies in Independent Surveys of Deep Fields

S. I. Shirokov, N. Yu. Lovyagin, Yu. V. Baryshev +1

New arguments supporting the reality of large-scale fluctuations in the density of the visible matter in deep galaxy surveys are presented. A statistical analysis of the radial dis…

math.HO2015

On the history of analysis. The formation of definitions

G. Sinkevich

The mathematical analysis was conceived in XVII century in Newton and Leibniz works. The problem of logical rigor in definitions was considered by Arnauld and Nicole in "Logique ou…

math.HO2015

Georg Cantor from St. Petersburg. Childhood and history of the family. Archival research

G. I. Sinkevich

Georg Cantor (1845-1918) was born, and spent the first 11 years of his life in St. Petersburg. The present lecture is devoted to his childhood and his family. Most of these documen…

math.CA2012

Distributions associated to homogeneous distributions

A. V. Kosyak, V. I. Polischook, V. M. Shelkovich

In this paper we continue to study {\it quasi associated homogeneous distributions \rm{(}generalized functions\rm{)}} which were introduced in the paper by V.M. Shelkovich, Associa…

math.FA2011★ 1 cited

Wavelet analysis on adeles and pseudo-differential operators

A. Yu. Khrennikov, A. V. Kosyak, V. M. Shelkovich

This paper is devoted to wavelet analysis on adele ring $\bA$ and the theory of pseudo-differential operators. We develop the technique which gives the possibility to generalize fi…