TY - JOUR

T1 - Local smooth conjugations of Frobenius endomorphisms

AU - Кальницкий, Вячеслав Степанович

AU - Петров, Андрей Николаевич

PY - 2020/12

Y1 - 2020/12

N2 - A generalization of the Böttcher equation is considered. It turned out that the parametrized Poisson integral, as a function of its parameters, satisfies an equation of the type described. The structure theorem for splitting maps of Frobenius endomorphisms in a ring and in an algebra over it is proved. The real field case is considered. The generalized Böttcher equation is solved for classical two-dimensional algebras and for the Poisson algebra.

AB - A generalization of the Böttcher equation is considered. It turned out that the parametrized Poisson integral, as a function of its parameters, satisfies an equation of the type described. The structure theorem for splitting maps of Frobenius endomorphisms in a ring and in an algebra over it is proved. The real field case is considered. The generalized Böttcher equation is solved for classical two-dimensional algebras and for the Poisson algebra.

UR - http://www.scopus.com/inward/record.url?scp=85095694014&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/a4ee3f8d-8394-30b3-a717-292f0bfae553/

U2 - 10.1007/s10958-020-05109-0

DO - 10.1007/s10958-020-05109-0

M3 - Article

VL - 251

SP - 503

EP - 511

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -