30 citations · 178 across the 55 of their papers we have counts for
6 papers · 1 filter
Kolmogorov reform of mathematical education, 1970-1980
Yury A. Neretin
This reform was a part of a transnational movement as 'the New Math' in the United States or the activity of the Lichnerowicz commission in France. The Russian version of these eve…
Barnes-Ismagilov integrals and hypergeometric functions of the complex field
Yury A. Neretin
We examine a family of integrals of Mellin-Barnes type over the space , such functio…
On the group of spheromorphisms of the homogeneous non-locally finite tree
Yury A. Neretin
Consider a tree , all whose vertices have countable valence; its boundary is the Baire space ; continued fractions expansions id…
Description of unitary representations of the group of infinite -adic integer matrices
Yury A. Neretin
We classify irreducible unitary representations of the group of all infinite matrices over a -adic field () with integer elements equipped with a natural topology. Any i…
On the group of infinite -adic matrices with integer elements
Yury A. Neretin
Let be an infinite-dimensional real classical group containing the complete unitary group (or complete orthogonal group) as a subgroup. Then generates a category of double…
On spherical unitary representations of groups of spheromorphisms of Bruhat--Tits trees
Yury A. Neretin
Consider an infinite homogeneous tree of valence , its group of automorphisms, and the group of its spheromorphisms (hierarchomorphisms), i.~e., th…