Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Yuri A. Kordyukov"'
Autor:
Yuri A. Kordyukov
Publikováno v:
Mathematics, Vol 9, Iss 23, p 3060 (2021)
We consider a family of semiclassically scaled second-order elliptic differential operators on high tensor powers of a Hermitian line bundle (possibly, twisted by an auxiliary Hermitian vector bundle of arbitrary rank) on a Riemannian manifold of bou
Externí odkaz:
https://doaj.org/article/31eb9ce03b6245b081cbc1bb80ece8a2
Autor:
Yuri A. Kordyukov
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 106 (2011)
We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit space of a Lie group actio
Externí odkaz:
https://doaj.org/article/87116742e3004ef5b62b6e94f00f5c2d
Autor:
Yuri A. Kordyukov
Publikováno v:
Journal of Spectral Theory. 12:143-167
Autor:
Aleksei Viktorovich Bolsinov, Victor Matveevich Buchstaber, Aleksandr Petrovich Veselov, Petr Georgievich Grinevich, Ivan Alekseevich Dynnikov, Valery Vasil'evich Kozlov, Yuri Arkadevich Kordyukov, Dmitry Vladimirovich Millionshchikov, Andrei Evgen'evich Mironov, Рoман Геннадьевич Новиков, Roman Gennadievich Novikov, Sergei Petrovich Novikov, Andrei Aleksandrovich Yakovlev
Publikováno v:
Uspekhi Matematicheskikh Nauk. 77:209-218
Autor:
Yuri Arkadevich Kordyukov
Publikováno v:
Uspekhi Matematicheskikh Nauk. 77:159-202
Работа посвящена формуле следа для магнитного лапласиана, ассоциированного с магнитной системой на компактном многообразии. Эта форму
Autor:
Yuri Arkadevich Kordyukov
Publikováno v:
Matematicheskie Zametki. 112:586-600
Мы развиваем теорию квантования по Березину-Теплицу на симплектических многообразиях ограниченной геометрии. Пространством квантован
Autor:
Yuri A. Kordyukov
Publikováno v:
Journal of Mathematical Sciences. 251:696-712
We consider the renormalized Bochner Laplacian acting on tensor powers of a positive line bundle on a compact symplectic manifold. We derive an explicit local formula for the spectral density function in terms of coefficients of the Riemannian metric
We compute the trace formula for the magnetic Laplacian on a compact hyperbolic surface of constant curvature with constant magnetic field for energies above the Mane critical level of the corresponding magnetic geodesic flow. We discuss the asymptot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::582ef771905a27bfe7b7929062c0ebd0
http://arxiv.org/abs/2202.06055
http://arxiv.org/abs/2202.06055
Publikováno v:
Uspekhi Matematicheskikh Nauk. 75:85-106
В работе строится квазиклассическое приближение для описания собственных значений магнитного лапласиана на компактном римановом мног
Publikováno v:
Journal of Topology and Analysis. 13:395-441
We show that any generalized smooth distribution on a smooth manifold, possibly of non-constant rank, admits a Riemannian metric. Using such a metric, we attach a Laplace operator to any smooth distribution as such. When the underlying manifold is co