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035			_a(RuTPU)RU\TPU\network\32223
035			_aRU\TPU\network\32220
090			_a661583
100			_a20200115a2012 k y0engy50 ba
101	0		_aeng
135			_adrcn ---uucaa
181		0	_ai
182		0	_ab
200	1		_aInteger points in domains and adiabatic limits _fYu. A. Kordyukov, A. A. Yakovlev
203			_aText _celectronic
300			_aTitle screen
320			_a[References: 16 tit.]
330			_aAn 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.
333			_aРежим доступа: по договору с организацией-держателем ресурса
461			_tSt. Petersburg Mathematical Journal
463			_tVol. 23, iss. 6 _v[P. 977-987] _d2012
610	1		_aэлектронный ресурс
610	1		_aтруды учёных ТПУ
610	1		_aInteger points
610	1		_alattices
610	1		_adomains
610	1		_aconvexity
610	1		_aadiabatic limits
610	1		_afoliation
610	1		_aLaplace operator
610	1		_aадиабатические пределы
610	1		_aоператор Лапласа
700		1	_aKordyukov _bYu. A. _gYuri Arkadievich
701		1	_aYakovlev _bA. A. _cspecialist in the field of petroleum engineering _cFirst Vice-Rector, Associate Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences _f1981- _gAndrey Alexandrovich _2stltpush _3(RuTPU)RU\TPU\pers\45819
801		2	_aRU _b63413507 _c20200515 _gRCR
856	4		_uhttps://doi.org/10.1090/S1061-0022-2012-01225-2
942			_cCF