Integer points in domains and adiabatic limits; St. Petersburg Mathematical Journal; Vol. 23, iss. 6

Integer points in domains and adiabatic limits; St. Petersburg Mathematical Journal; Vol. 23, iss. 6

Библиографические подробности
Источник:St. Petersburg Mathematical Journal
Vol. 23, iss. 6.— 2012.— [P. 977-987]
Главный автор: Kordyukov Yu. A. Yuri Arkadievich
Другие авторы: Yakovlev A. A. Andrey Alexandrovich
Примечания:Title screen
An asymptotic formula is proved for the number of integral points in a family of bounded domains with smooth boundary in Euclidean space; these domains remain unchanged along some linear subspace and expand in the directions orthogonal to this subspace. A sharper estimate for the remainder is obtained in the case where the domains are strictly convex. These results make it possible to improve the remainder estimate in the adiabatic limit formula (due to the first author) for the eigenvalue distribution function of the Laplace operator associated with a bundle-like metric on a compact manifold equipped with a Riemannian foliation in the particular case where the foliation is a linear foliation on the torus and the metric is the standard Euclidean metric on the torus.
Режим доступа: по договору с организацией-держателем ресурса
Язык:английский
Опубликовано: 2012
Предметы:
электронный ресурс
труды учёных ТПУ
Integer points
lattices
domains
convexity
adiabatic limits
foliation
Laplace operator
адиабатические пределы
оператор Лапласа
Online-ссылка:https://doi.org/10.1090/S1061-0022-2012-01225-2
Формат: Электронный ресурс Статья
Запись в KOHA:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=661583

Схожие документы

Схожие документы