Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Fundamental'nye Napravleniya": Archive

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Author Index

«Dynamical systems – 1», Volume 1 (1985)

	From Editorial Board	5–6
	Ordinary differential equations V. I. Arnol'd, Yu. S. Ilyashenko	7–140
	Ordinary differential equations: References	141–146
	Smooth dynamical systems: Preface D. V. Anosov	151–155
	Smooth dynamical systems. Chapter 1 D. V. Anosov	156–178
	Smooth dynamical systems. Chapter 2 D. V. Anosov	178–204
	Smooth dynamical systems. Chapter 3 D. V. Anosov, I. U. Bronshtein	204–229
	Smooth dynamical systems. Chapter 4 S. Kh. Aranson, V. Z. Grines	229–237
	Smooth dynamical systems: References	237–240
	Misprints

«Dynamical systems – 2», Volume 2 (1985)

	General ergodic theory of transformation groups with invariant measure: Preface. Contents Ya. G. Sinai	5–6
	General ergodic theory of transformation groups with invariant measure. Chapter 1. Preliminary ideas and basic methods of ergodic theory I. P. Kornfeld, Ya. G. Sinai	7–35
	General ergodic theory of transformation groups with invariant measure. Chapter 2. Spectral theory of dynamical systems I. P. Kornfeld, Ya. G. Sinai	35–44
	General ergodic theory of transformation groups with invariant measure. Chapter 3. Entropy theory of dynamical systems I. P. Kornfeld, Ya. G. Sinai	44–70
	General ergodic theory of transformation groups with invariant measure. Chapter 4. Periodic approximations and their applications. Ergodic theorems, spectral and entropy theory for general group actions A. M. Vershik, I. P. Kornfeld	70–89
	General ergodic theory of transformation groups with invariant measure. Chapter 5. Trajectory theory A. M. Vershik	89–106
	General ergodic theory of transformation groups with invariant measure: References	106–111
	Ergodic theory of smooth dynamical systems: Contents	113–115
	Ergodic theory of smooth dynamical systems. Chapter 6. Randomness of smooth dynamical systems. Elements of KAM theory Ya. G. Sinai	115–122
	Ergodic theory of smooth dynamical systems. Chapter 7. General theory of smooth hyperbolic systems Ya. B. Pesin	123–173
	Ergodic theory of smooth dynamical systems. Chapter 8. Systems of hyperbolic type with singularities L. A. Bunimovich	173–204
	Ergodic theory of smooth dynamical systems. Chapter 9. Ergodic theory of one-dimensional mappings M. V. Jakobson	204–226
	Ergodic theory of smooth dynamical systems: References	227–232
	Dynamical systems of statistical mechanics and kinetic equations: Contents	233–234
	Dynamical systems of statistical mechanics and kinetic equations. Chapter 10. Dynamical systems of statistical mechanics R. L. Dobrushin, Ya. G. Sinai, Yu. M. Sukhov	235–284
	Dynamical systems of statistical mechanics and kinetic equations. Chapter 11. Existence and uniqueness theorems for the Boltzmann equation N. B. Maslova	285–306
	Dynamical systems of statistical mechanics and kinetic equations: References	306–307

«Dynamical systems – 3», Volume 3 (1985)

	Mathematical aspects of classical and celestial mechanics V. I. Arnol'd, V. V. Kozlov, A. I. Neishtadt	5–290
	Commentary on References	291
	Recommended References	292–294
	References	294–300
	Misprints

«Dynamical systems – 4», Volume 4 (1985)

	Symplectic geometry V. I. Arnol'd, A. B. Givental'	5–135
	Symplectic geometry: References	136–139
	Geometric quantization A. A. Kirillov	141–176
	Geometric quantization: References	176–178
	Integrable systems. I B. A. Dubrovin, I. M. Krichever, S. P. Novikov	179–277
	Integrable systems. I: References	277–285
	Misprints

«Dynamical systems – 5», Volume 5 (1986)

	Bifurcation theory V. I. Arnol'd, V. S. Afraimovich, Yu. S. Ilyashenko, L. P. Shilnikov	5–218
	Catastrophe theory V. I. Arnol'd	219–277
	Misprints

«Dynamical systems – 6», Volume 6 (1988)

	Singularities. I. Local and global theory V. I. Arnol'd, V. A. Vassiliev, V. V. Goryunov, O. V. Lyashko	5–250
	Misprints

«Complex analysis—several variables – 1», Volume 7 (1985)

	Remarkable facts about complex analysis A. G. Vitushkin	5–22
	The method of integral representations in complex analysis G. M. Henkin	23–124
	Complex analytic sets E. M. Chirka	125–166
	Holomorphic mappings and the geometry of surfaces A. G. Vitushkin	167–226
	General theory of higher-dimensional residues P. Dolbeault	227–251
	Misprints

«Complex analysis—several variables – 2», Volume 8 (1985)

	Higher-dimensional residues and their applications: Contents	5–6
	Higher-dimensional residues and their applications. Chapter 1 A. P. Yuzhakov	6–28
	Higher-dimensional residues and their applications. Chapter 2 L. A. Aizenberg	29–45
	Higher-dimensional residues and their applications. Chapter 3 A. K. Tsikh	45–64
	Plurisubharmonic functions A. Sadullaev	65–113
	Function theory in the ball A. B. Aleksandrov	115–190
	Complex analysis in the future tube V. S. Vladimirov, A. G. Sergeev	191–266

«Complex analysis—several variables – 3», Volume 9 (1986)

	Entire functions L. I. Ronkin	5–36
	Higher-dimensional value distribution theory I. M. Degtyarev	37–71
	Invariant metrics E. A. Poletskii, B. V. Shabat	73–125
	Finiteness theorems for holomorphic mappings M. G. Zaidenberg, V. Ya. Lin	127–193
	Holomorphic mappings in $\mathbf C^n$ and the problem of holomorphic equivalence S. I. Pinchuk	195–223
	The geometry of $CR$-manifolds A. E. Tumanov	225–246
	Supersymmetry and complex geometry A. A. Roslyi, H. M. Khudaverdian, A. S. Schwarz	247–284

«Complex analysis—several variables – 4», Volume 10 (1986)

	Methods of sheaf theory and Stein spaces A. L. Onishchik	5–73
	Holomorphic vector bundles and the Oka–Grauert principle J. Laiterer	75–121
	Deformations of complex spaces V. P. Palamodov	123–221
	Homogeneous complex manifolds D. N. Akhiezer	223–275
	Misprints

«Algebra – 1», Volume 11 (1986)

	Basic concepts of algebra I. R. Shafarevich	5–279

«Topology – 1», Volume 12 (1986)

	Topology S. P. Novikov	5–252
	Classical manifolds D. B. Fuchs	253–314

«Analysis – 1», Volume 13 (1986)

	Series and integral representations M. A. Evgrafov	5–92
	Asymptotic methods in analysis M. V. Fedoryuk	93–210
	Integral transforms M. V. Fedoryuk	211–253

«Analysis – 2», Volume 14 (1987)

	Convex analysis V. M. Tikhomirov	5–101
	Approximation theory V. M. Tikhomirov	103–260
	Misprints

«Commutative harmonic analysis – 1», Volume 15 (1987)

	Preface N. K. Nikol'skii, V. P. Havin	5–6
	Methods and structure of commutative harmonic analysis V. P. Havin	6–133
	Classical problems of Fourier analysis S. V. Kislyakov	135–195
	Methods of the theory of singular integrals (the Hilbert transform and Calderón-Zygmund theory) E. M. Dyn'kin	197–292

«Dynamical systems – 7», Volume 16 (1987)

	Nonholonomic dynamical systems. Geometry of distributions and variational problems A. M. Vershik, V. Ya. Gershkovich	5–85
	Integrable systems. II M. A. Olshanetsky, A. M. Perelomov, A. G. Reiman, M. A. Semenov-Tian-Shansky	86–226
	Geometric and algebraic mechanisms for the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras V. V. Trofimov, A. T. Fomenko	227–299
	Misprints

«General topology – 1», Volume 17 (1988)

	Basic concepts and constructions of general topology A. V. Arkhangel'skii, V. V. Fedorchuk	5–110
	Principles of dimension theory V. V. Fedorchuk	111–224

«Algebra – 2», Volume 18 (1988)

	Noncommutative rings L. A. Bokut', I. V. L'vov, V. K. Kharchenko	5–116
	Identities Yu. A. Bahturin, A. Yu. Ol'shanskii	117–240

«Functional analysis – 1», Volume 19 (1988)

	Linear functional analysis Yu. I. Lyubich	5–305

«Lie groups and Lie algebras – 1», Volume 20 (1988)

	Foundations of the theory of Lie groups È. B. Vinberg, A. L. Onishchik	5–101
	Lie groups of transformations V. V. Gorbatsevich, A. L. Onishchik	103–240

«Lie groups and Lie algebras – 2», Volume 21 (1988)

	Discrete subgroups of Lie groups È. B. Vinberg, V. V. Gorbatsevich, O. V. Schwarzman	5–120
	Cohomology of Lie groups and Lie algebras B. L. Feigin, D. B. Fuchs	121–209

«Theory of representations and noncommutative harmonic analysis – 1», Volume 22 (1988)

	Introduction to representation theory and noncommutative harmonic analysis A. A. Kirillov	5–162
	Representations of Virasoro algebra and affine algebras Yu. A. Neretin	163–224

«Algebraic geometry – 1», Volume 23 (1988)

	Riemann surfaces and algebraic curves V. V. Shokurov	5–171
	Algebraic varieties and schemes V. I. Danilov	172–302
	Misprints

«Topology – 2», Volume 24 (1988)

	Preface	5
	Introduction to homotopy theory O. Ya. Viro, D. B. Fuchs	6–121
	Homology and cohomology O. Ya. Viro, D. B. Fuchs	123–239
	References	239–240

«Commutative harmonic analysis – 2», Volume 25 (1988)

	Group methods of commutative harmonic analysis V. P. Gurarii	4–303

«Analysis – 3», Volume 26 (1988)

	Spaces of differentiable functions of several variables and imbedding theorems L. D. Kudryavtsev, S. M. Nikol'skii	5–157
	Classes of domains, measures and capacities in the theory of differentiable functions V. G. Maz'ya	159–228

«Analysis – 4», Volume 27 (1988)

	Linear integral equations S. Prößdorf	5–130
	Boundary integral equations V. G. Maz'ya	131–228

«Geometry – 1», Volume 28 (1988)

	Basic ideas and concepts of differential geometry D. V. Alekseevskii, A. M. Vinogradov, V. V. Lychagin	5–289

«Geometry – 2», Volume 29 (1988)

	Geometry of spaces of constant curvature D. V. Alekseevskii, È. B. Vinberg, A. S. Solodovnikov	5–146
	Discrete groups of motions of spaces of constant curvature È. B. Vinberg, O. V. Schwarzman	147–259

«Partial differential equations – 1», Volume 30 (1988)

	Linear partial differential equations. Foundations of the classical theory Yu. V. Egorov, M. A. Shubin	5–255

«Partial differential equations – 2», Volume 31 (1988)

	Linear partial differential equations. Elements of the contemporary theory Yu. V. Egorov, M. A. Shubin	5–125
	Linear partial differential equations with constant coefficients A. I. Komech	127–261

«Partial differential equations – 3», Volume 32 (1988)

	The Cauchy problem L. R. Volevich, S. G. Gindikin	5–98
	Qualitative theory of second order linear partial differential equations V. A. Kondratiev, E. M. Landis	99–215

«Partial differential equations – 4», Volume 33 (1988)

	Microlocal analysis Yu. V. Egorov	5–156
	Linear hyperbolic equations V. Ya. Ivrii	157–247

«Partial differential equations – 5», Volume 34 (1988)

	Equations with rapidly oscillating solutions M. V. Fedoryuk	5–56
	The asymptotic behavior as $t\to\infty$ of the solutions of exterior mixed problems for hyperbolic equations, and quasiclassics B. R. Vainberg	57–92
	The multidimensional WKB method or the ray method. Its analogues and generalizations V. M. Babich	93–134
	Quasiclassical asymptotic behavior of eigenfunctions V. F. Lazutkin	135–174
	A boundary layer A. M. Il'in	175–213
	The averaging method for partial differential equations and its applications N. S. Bakhvalov, G. P. Panasenko, A. L. Štaras	215–241

«Algebraic geometry – 2», Volume 35 (1989)

	Cohomology of algebraic varieties V. I. Danilov	5–130
	Algebraic surfaces V. A. Iskovskikh, I. R. Shafarevich	131–263
	Misprints

«Algebraic geometry – 3», Volume 36 (1989)

	Complex algebraic manifolds: periods of integrals, Hodge structures Vik. S. Kulikov, P. F. Kurchanov	5–231
	Algebraic curves and their Jacobians V. V. Shokurov	233–273
	Misprints

«Algebra – 4», Volume 37 (1989)

	Infinite groups A. Yu. Ol'shanskii, A. L. Shmel'kin	5–113
	Linear groups A. E. Zalesskii	114–228

«Algebra – 5», Volume 38 (1989)

	Homological algebra S. I. Gel'fand, Yu. I. Manin	5–233

«Dynamical systems – 8», Volume 39 (1989)

	Singularities. II. Classification and applications V. I. Arnol'd, V. A. Vassiliev, V. V. Goryunov, O. V. Lyashko	5–249

«Lie groups and Lie algebras – 3», Volume 41 (1990)

	Structure of Lie groups and Lie algebras È. B. Vinberg, V. V. Gorbatsevich, A. L. Onishchik	5–253

«Commutative harmonic analysis – 4», Volume 42 (1989)

	Предисловие N. K. Nikol'skii, V. P. Havin	5
	Multiple series and Fourier integrals Sh. A. Alimov, R. R. Ashurov, A. K. Pulatov	7–104
	Methods of the theory of singular integrals. II. The Littlewood–Paley theory and its applications E. M. Dyn'kin	105–198
	Exceptional sets in harmonic analysis S. V. Kislyakov	199–227

«Probability theory – 1», Volume 43 (1989)

	Probability. Basic concepts. Structure. Methods A. V. Skorokhod	5–145
	Markov processes and probabilistic applications in analysis A. V. Skorokhod	147–188
	Probability. Applied aspects A. V. Skorokhod	189–270

«Probability theory – 3», Volume 45 (1989)

	Stochastic calculus S. V. Anulova, A. Yu. Veretennikov, N. V. Krylov, R. Sh. Liptser, A. N. Shiryaev	5–253

«Probability theory – 4», Volume 46 (1989)

	Markov processes M. Ī. Portenko, A. V. Skorokhod, V. M. Shurenkov	5–245

«Geometry – 3», Volume 48 (1989)

	Geometry of surfaces in Euclidean spaces Yu. D. Burago	5–97
	Surfaces of negative curvature È. R. Rozendorn	98–195
	Local theory of the bendings of surfaces I. Kh. Sabitov	196–270

«Number theory – 1», Volume 49 (1990)

	Introduction to number theory Yu. I. Manin, A. A. Panchishkin	5–341

«General topology – 2», Volume 50 (1989)

	Compactness A. V. Arkhangel'skii	5–128
	The homology and cohomology of general spaces E. G. Sklyarenko	129–266

«General topology – 3», Volume 51 (1989)

	Paracompactness and metrization. The covering method in classification of spaces A. V. Arkhangel'skii	5–80
	Spaces of mappings and rings of continuous functions A. V. Arkhangel'skii	81–171
	Descriptive set theory and topology M. M. Choban	173–237

«Complex analysis—several variables – 5», Volume 54 (1989)

	Complex analysis and convolution equations C. A. Berenstein, D. C. Struppa	5–111
	Yang–Mills fields, the Radon–Penrose transform and the Cauchy–Riemann equations R. G. Novikov, G. M. Henkin	113–196
	Complex geometry and string theory A. Yu. Morozov, A. M. Perelomov	197–279

«Algebraic geometry – 4», Volume 55 (1989)

	Linear algebraic groups T. A. Springer	5–136
	Invariant theory È. B. Vinberg, V. L. Popov	137–309
	Misprints

«Algebra – 6», Volume 57 (1990)

	Combinatorial and asymptotic methods in algebra V. A. Ufnarovskii	5–177
	Nonassociative structures E. N. Kuz'min, I. P. Shestakov	179–266

«Algebra – 7», Volume 58 (1990)

	Combinatorial theory of groups, and fundamental groups D. J. Collins, H. Zieschang	5–190
	Some problems in group theory that are connected with geometry R. I. Grigorchuk, P. F. Kurchanov	191–256

«Noncommutative harmonic analysis – 2», Volume 59 (1990)

	Harmonic analysis on homogeneous spaces V. F. Molchanov	5–144
	Representations of Lie groups, and special functions N. Ya. Vilenkin, A. U. Klimyk	145–264

«Number theory – 2», Volume 62 (1990)

	Algebraic number theory H. V. Koch	5–301

«Partial differential equations – 6», Volume 63 (1990)

	Elliptic operators on closed manifolds M. S. Agranovich	5–129
	Degenerate elliptic equations and boundary value problems S. Z. Levendorskii, B. P. Paneah	131–200
	Parabolic equations S. D. Èidel'man	201–313

«Partial differential equations – 7», Volume 64 (1989)

	Spectral theory of differential operators G. V. Rozenblum, M. Z. Solomyak, M. A. Shubin	5–242

«Partial differential equations – 8», Volume 65 (1991)

	Linear overdetermined systems of partial differential equations, and boundary and initial-boundary value problems for them P. I. Dudnikov, S. N. Samborskii	5–93
	Spectral analysis of a dissipative singular Schrödinger operator in terms of a functional model B. S. Pavlov	95–163
	Index theorems B. V. Fedosov	165–268

«Dynamical systems – 9», Volume 66 (1991)

	Dynamical systems with hyperbolic behavior D. V. Anosov, S. Kh. Aranson, V. Z. Grines, R. V. Plykin, E. A. Sataev, A. V. Safonov, V. V. Solodov, A. N. Starkov, A. M. Stepin, S. V. Shlyachkov	5–242

«Complex analysis—several variables – 6», Volume 69 (1991)

	Preface W. Bart, Raghavan Narasimhan	5
	Proper holomorphic mappings of complex spaces Steven R. Bell, Raghavan Narasimhan	6–47
	An overview of recent advances in Hodge theory Jean-Luc Brylinski, Steven Zucker	48–165
	Actions of groups of holomorphic transformations Alan T. Huckleberry	166–221
	Stable bundles, instantons and $C^\infty$-structures on algebraic surfaces Ch. Okonek, A. Van de Ven	222–277
	The theory of Teichmüller spaces. A view towards moduli spaces of Kähler manifolds George Schumacher	278–345
	Misprints

«Geometry – 4», Volume 70 (1989)

	Two-dimensional manifolds of bounded curvature Yu. G. Reshetnyak	7–189
	Multidimensional generalized Riemannian spaces V. N. Berestovskii, I. G. Nikolaev	190–272
	Misprints

«Commutative harmonic analysis – 3», Volume 72 (1991)

	Generalized functions and harmonic analysis V. P. Palamodov	5–134
	Optical and acoustical Fourier processors V. S. Buslaev	135–180
	The uncertainty principle in harmonic analysis B. Jöricke, V. P. Havin	181–260

«Algebra – 8», Volume 73 (2003)

	Representations of finite-dimensional algebras P. Gabriel, A. V. Roiter	5–224

«Complex analysis—several variables – 7», Volume 74 (1996)

	Preface	5–11
	Chapter 1. Local theory of complex spaces R. Remmert	12–132
	Chapter 2. Differential calculus, holomorphic mappings and linear structures on complex spaces Th. Peternell, R. Remmert	133–192
	Chapter 3. Cohomology Th. Peternell	193–236
	Chapter 4. Seminormal complex spaces G. Dethloff, H. Grauert	237–283
	Chapter 5. Pseudoconvexity, the Levi problem and vanishing theorems Th. Peternell	285–329
	Chapter 6. Theory of $q$-convexity and $q$-concavity H. Grauert	331–363
	Chapter 7. Modifications Th. Peternell	365–408
	Chapter 8. Cycle spaces F. Campana, Th. Peternell	409–448
	Chapter 9. Extension of analytic objects H. Grauert, R. Remmert	449–461

«Algebra – 9», Volume 77 (1991)

	Representation theory of finite groups of Lie type over an algebraically closed field of characteristic zero R. W. Carter	5–143
	Finite-dimensional skew fields V. P. Platonov, V. I. Yanchevskii	144–262

«Probability theory – 6. Limit theorems of probability theory», Volume 81 (1991)

	Preface	8–9
	Limit theorems of classical type for sums of independent random variables V. V. Petrov	10–38
	The accuracy of Gaussian approximation in Banach spaces V. Bentkus, F. Götze, V. Paulauskas, A. Račkauskas	39–139
	Approximation of distributions of sums of weakly dependent random variables by the normal distribution J. Sunklodas	140–199
	Refinements of the central limit theorem for homogeneous Markov chains P. P. Gudynas	200–218
	Limit theorems on large deviations L. Saulis, V. Statulevičius	219–312

«Probability theory – 7», Volume 82 (1995)

	Limit theorems for random processes A. A. Borovkov, A. A. Mogul'skii, A. I. Sakhanenko	5–194
	Misprints

«Probability theory – 8», Volume 83 (1991)

	Quantum probability and quantum statistics A. S. Holevo	5–132
	Natural geometry of families of probability laws E. A. Morozova, N. N. Chentsov	133–265

«Complex analysis. One variable – 1», Volume 85 (1991)

	Entire and meromorphic functions A. A. Gol'dberg, B. Ya. Levin, I. V. Ostrovskii	5–185
	Polyanalytic functions and their generalizations M. B. Balk	187–246

«Geometry – 5. Minimal surfaces», Volume 90 (2003)

	Preface Robert Osserman	9–12
	Complete embedded minimal surfaces of finite total curvature D. A. Hoffman, H. Karcher	13–122
	Nevanlinna theory and minimal surfaces H. Fujimoto	123–204
	Boundary value problems for minimal surfaces S. Hildebrandt	205–306
	The minimal surface equation L. Simon	307–343

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