А. В. Щепетилов

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All published works

Action	Title	Year	Authors
+	On the Uniqueness of the Finite-Difference Analogues of the Fundamental Solution of the Heat Equation and the Wave Equation in Discrete Potential Theory	2024	И. Э. Степанова I. I. Kolotov А. В. Щепетилов A. G. Yagola A. N. Levashov
+	On the construction of an optimal network of observation points when solving inverse lin-ear problems of gravimetry and magnetometry	2024	I. E. Stepanova D. V. Lukyanenko I. I. Kolotov А. В. Щепетилов A. G. Yagola A. N. Levashov
+	Erratum to: On the Construction of an Optimal Network of Observation Points when Solving Inverse Linear Problems of Gravimetry and Magnetometry	2024	И. Э. Степанова D. V. Lukyanenko I. I. Kolotov А. В. Щепетилов A. G. Yagola A. N. Levashov
+	On the Construction of an Optimal Network of Observation Points when Solving Inverse Linear Problems of Gravimetry and Magnetometry	2024	И. Э. Степанова D. V. Lukyanenko I. I. Kolotov А. В. Щепетилов A. G. Yagola A. N. Levashov
+ PDF Chat	On the Unique Solvability of Inverse Problems of Magnetometry and Gravimetry	2023	И. Э. Степанова D. V. Lukyanenko I. I. Kolotov А. В. Щепетилов A. G. Yagola
+	Application of a Combined Approach Based on Analytical Approximations and Construction of Gravity Field Integral Curves for the Interpretation of Marine and Airborne Gravimetric Data	2021	И. Э. Степанова А. В. Щепетилов Anton Salnikov P. S. Mikhailov В. В. Погорелов A. V. Batov В. А. Тимофеева
+	Parametric Structural Approach to Constructing Digital Models of the Relief and Gravitational Field of the Earth Using Analytical S-Approximations	2020	И. Э. Степанова А. В. Щепетилов В. В. Погорелов P. S. Mikhailov
+	Improving the Methods for Processing Large Data in Geophysics and Geomorphology Based on the Modified S- and F-approximations	2020	И. Э. Степанова И.А. Керимов D. N. Raevskiy А. В. Щепетилов
+	Separation of Potential Fields Generated by Different Sources Based on Modified S-Approximations	2020	И. Э. Степанова D. N. Raevskiy А. В. Щепетилов
+	Modified Method S-, F- and R-Approximations in Solving Inverse Problems of Geophysics and Geomorphology	2019	И. Э. Степанова И.А. Керимов D. N. Raevsky А. В. Щепетилов
+	Combined Method of F-, S-, and R-Approximations of Increased Dimensionality in Solving the Problems of Geophysics and Geomorphology	2018	И. Э. Степанова И.А. Керимов D. N. Raevskiy А. В. Щепетилов
+	Combined method of F-, S-, and R-approximations in solving the problems of geophysics and geomorphology	2018	И. Э. Степанова И.А. Керимов D. N. Raevskiy А. В. Щепетилов
+	On the interpretation of large gravimagnetic data by the modified method of S-approximations	2017	И. Э. Степанова D. N. Raevskiy А. В. Щепетилов
+	Particle in a Central Field on Two-Point Homogeneous Spaces	2006	А. В. Щепетилов
+	Two-Body Hamiltonian on Two-Point Homogeneous Spaces	2006	А. В. Щепетилов
+	Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces	2006	А. В. Щепетилов
+	Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces	2006	А. В. Щепетилов
+	Differential Operators on Smooth Manifolds	2006	А. В. Щепетилов
+ PDF Chat	Nonintegrability of the two-body problem in constant curvature spaces	2006	А. В. Щепетилов
+ PDF Chat	The two-body quantum mechanical problem on spheres	2006	А. В. Щепетилов
+	Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces	2006	А. В. Щепетилов
+	Nonintegrability of the two-body problem in constant curvature spaces II	2006	А. В. Щепетилов
+	Two-body problem on spaces of constant curvature	2005	А. В. Щепетилов И. Э. Степанова
+ PDF Chat	Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces	2003	А. В. Щепетилов
+ PDF Chat	Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept	2003	А. В. Щепетилов
+ PDF Chat	The geometric sense of the Sasaki connection	2003	А. В. Щепетилов
+	Two-body problem on spaces of constant curvature: II. Spectral properties of the Hamiltonian	2000	И. Э. Степанова А. В. Щепетилов
+	Invariant treatment of the two-body problem with central interaction on simply connected spaces of constant sectional curvature	2000	А. В. Щепетилов
+	Two-body problem on spaces of constant curvature: I. Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system	2000	А. В. Щепетилов
+	Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces	1999	А. В. Щепетилов
+	Some quantum mechanical problems in Lobachevsky space	1996	А. В. Щепетилов

Common Coauthors

Coauthor	Papers Together
И. Э. Степанова	14
D. N. Raevskiy	5
D. V. Lukyanenko	4
И.А. Керимов	4
A. N. Levashov	4
I. I. Kolotov	3
A. G. Yagola	3
I. I. Kolotov	2
В. В. Погорелов	2
A. G. Yagola	2
P. S. Mikhailov	2
В. А. Тимофеева	1
A. V. Batov	1
I. E. Stepanova	1
A. M. Salnikov	1
D. N. Raevsky	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the S-approximation of the Earth's gravity field: regional version	2009	И. Э. Степанова	7
+	On the solution of inverse problems of gravimetry by the modified method of S-approximations	2015	D. N. Raevskiy И. Э. Степанова	7
+	The modified method of S-approximations: Regional version	2015	D. N. Raevskiy И. Э. Степанова	6
+ PDF Chat	Spaces of constant curvature	2010	Joseph A. Wolf	6
+	Groups and Geometric Analysis	2000	Sigurđur Helgason	6
+	Two-body problem on spaces of constant curvature: I. Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system	2000	А. В. Щепетилов	6
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	5
+	Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces	1999	А. В. Щепетилов	5
+ PDF Chat	Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept	2003	А. В. Щепетилов	4
+	On the S-approximation of the Earth's gravity field	2008	И. Э. Степанова	4
+	Special Functions and the Theory of Group Representations	1968	N. I︠a︡. Vilenkin	4
+	Two-body problem on spaces of constant curvature: II. Spectral properties of the Hamiltonian	2000	И. Э. Степанова А. В. Щепетилов	4
+	Approximation Approach in Various Modifications of the Method of Linear Integral Representations	2019	И. Э. Степанова И.А. Керимов A. G. Yagola	3
+ PDF Chat	COMBINED APPROXIMATION METHODS FOR SOLVING THE PROBLEMS OF GRAVITY AND MAGNETIC PROSPECTING	2018	И.А. Керимов И. Э. Степанова Д.Н. Раевский	3
+	Mathematical methods of classical mechanics	1978	Владимир Игоревич Арнольд	3
+ PDF Chat	Die Mechanik in den Nicht-Euklidischen Raumformen.	1885	Wilhelm Killing	3
+	On the interpretation of large gravimagnetic data by the modified method of S-approximations	2017	И. Э. Степанова D. N. Raevskiy А. В. Щепетилов	3
+	Foundations of Differential Geometry	1963	Shôshichi Kobayashi Katsumi Nomizu	3
+	Combined method of F-, S-, and R-approximations in solving the problems of geophysics and geomorphology	2018	И. Э. Степанова И.А. Керимов D. N. Raevskiy А. В. Щепетилов	3
+	Quasi-exactly solvable models in quantum mechanics	2017	A.G. Ushveridze	3
+	A classification of the unitary irreducible representations ofSU(N, 1)	1968	Ulf Ottoson	3
+	Commutative homogeneous spaces and co-isotropic symplectic actions	2001	É. B. Vinberg	2
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	2
+	Theory of Group Representations and Applications	1986	A. O. Barut R. Ra̧czka	2
+	Note on the "Kepler Problem" in a Spherical Space, and the Factorization Method of Solving Eigenvalue Problems	1941	A. F. Stevenson	2
+	A classification of the unitary irreducible representations ofSO 0(N, 1)	1968	Ulf Ottoson	2
+	Two-Point Homogeneous Spaces	1952	Hsien-Chung Wang	2
+	Representation of Lie Groups and Special Functions	1991	N. Ja. Vilenkin A. U. Klimyk	2
+	Combined Method of F-, S-, and R-Approximations of Increased Dimensionality in Solving the Problems of Geophysics and Geomorphology	2018	И. Э. Степанова И.А. Керимов D. N. Raevskiy А. В. Щепетилов	2
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun	2
+ PDF Chat	Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces	2003	А. В. Щепетилов	2
+	Some quantum mechanical problems in Lobachevsky space	1996	А. В. Щепетилов	2
+	2-spaces of constant curvature	2009	J. B. Griffiths Jiřı́ Podolský	2
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	2
+ PDF Chat	Systems of singular integral operators on spheres	1969	Daniel A. Levine	2
+	Path integral treatment of the hydrogen atom in a curved space of constant curvature	1987	A. O. Barut Akira Inomata Georg Junker	2
+ PDF Chat	Rieffel induction as generalized quantum Marsden-Weinstein reduction	1995	N.P. Landsman	1
+	Quadratic algebras and dynamics in curved spaces. I. Oscillator	1992	Ya.I. Granovskii Alexei Zhedanov I. M. Lutsenko	1
+	Constraints, reduction, and quantization	1986	Mark J. Gotay	1
+	An introduction to differential algebra	1957	Irving Kaplansky	1
+	Topology of transitive transformation groups	1994	A. L. Onishchik	1
+	On formal integrability of evolution equations and local geometry of surfaces	2001	Mikhail V. Foursov Peter J. Olver Enríque G. Reyes	1
+	An iterational method for finding the minimum of a sum of squares	1966	M.K. Gavurin Yu.B. Farforovskaya	1
+	Symplectic Techniques in Physics	1984	Victor Guillemin Shlomo Sternberg	1
+	Lectures on Exceptional Lie Groups	1996	J. F. Adams Zafer Mahmud 護三村	1
+	Lie groups and algebraic groups	1990	É. B. Vinberg A. L. Onishchik Dimitry Leites	1
+	Analysis of the Laplacian on the complete Riemannian manifold	1983	Robert S. Strichartz	1
+	Riemannian symmetric spaces of rank one	1972	Isaac Chavel	1
+	Pseudo-spherical Surfaces and Integrability of Evolution Equations	1998	Enríque G. Reyes	1
+	Chaos on the pseudosphere	1986	N. L. Balázs A. Voros	1