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Aleksandrov, Aleksandr Danilovich

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Author ID: aleksandrov.a-d Recent zbMATH articles by "Aleksandrov, Aleksandr Danilovich"
Published as: Aleksandrov, A. D.; Alexandroff, A. D.; Alexandroff, A.; Alexandrov, A. D.; Alexandrov, A.; Alexandrov, Alexandr D.; Aleksandrov, Aleksandr Danilovich; Alexandrow, A. D.; Aleksandrov, Aleksander Danilovich; Alexandrov, Aleksandr Danilovich; Aleksandroff, A. D.; Alexandrow, Alexander Danilowitsch; Aleksandrov, Aleksander Danilovic; Alexandrov, Alexander Danilovich; Aleksandrov, Aleksandr D.; Alexandrov, Aleksandr D.; Alexandrov, Aleksandr; Aleksandrow, A. D.
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Documents Indexed: 209 Publications since 1933, including 22 Books
Biographic References: 46 Publications
all top 5

Co-Authors

152 single-authored
10 Reshetnyak, Yuriĭ Grigor’evich
9 Pogorelov, Alekseĭ Vasil’evich
8 Kutateladze, Semën Samsonovich
6 Poznyak, Èduard Genrikhovich
5 Novikov, Sergeĭ Petrovich
5 Rubinshteĭn, Gennadiĭ Shlemovich
5 Zalgaller, Viktor Abramovich
4 Faddeev, Dmitriĭ Konstantinovich
4 Gavurin, Mark Konstantinovich
4 Kolmogorov, Andreĭ Nikolaevich
4 Lavrent’ev, Mikhail Alekseevich
4 Makarov, Valeriĭ Leonidovich
4 Rozendorn, Èmil’ Renol’dovich
4 Sabitov, Idzhad Khakovich
4 Sobolev, Sergeĭ L’vovich
3 Marchenko, Vladimir Aleksandrovich
3 Nikolaev, Yu. P.
3 Strel’tsov, V. V.
2 Aganbegyan, A. G.
2 Aleksandrov, Pavel Sergeevich
2 Aminov, Yurii Akhmetovich
2 Burago, Yuriĭ Dmitrievich
2 Faddeev, Lyudvig Dmitrievich
2 Kopylov, Anatoliĭ Pavlovich
2 Kuzminykh, Alexandr Veniaminovich
2 Oleĭnik, Ol’ga Arsen’evna
2 Oskolkov, Anatolii Petrovich
2 Rashevskiĭ, Pëtr Konstantinovich
2 Romanovskiĭ, Iosif Vladimirovich
2 Sen’kin, E. P.
2 Shajdenko, Anna Viktorovna
2 Stechkin, Sergeĭ Borisovich
2 Ural’tseva, Nina Nikolaevna
2 Volkov, Yu. A.
1 Bashmakov, M. I.
1 Belegradek, Oleg V.
1 Berestovskiĭ, Valeriĭ Nikolaevich
1 Blank, Yakov Pavlovich
1 Bokut, Leonid A.
1 Borevich, Zenon Ivanovich
1 Borisenko, Aleksandr Andreevich
1 Delone, Boris Nikolaevich
1 Demidov, Sergeĭ Sergeevich
1 Efimov, Nikolaĭ Vladimirovich
1 Ershov, Yuriĭ Leonidovich
1 Grigor’yan, Ashot Tigranovich
1 Khruslov, Eugene Yakovlevich
1 Kublanovskaya, Vera Nikolaevna
1 Kusraev, Anatoly Georgievich
1 Ladyzhenskaya, Ol’ga Aleksandrovna
1 Maslov, Klavdii V.
1 Matvievskaya, Galina Pavlovna
1 Milka, Anatoliy D.
1 Netsvetaev, Nikita Yu.
1 Nikolaev, Igor Georgievich
1 Nikulin, Mikhail Stepanovich
1 Paduroff, N.
1 Pimenov, R. I.
1 Sirazhdinov, Sagdy Khasanovich
1 Skopin, A. I.
1 Skrypnik, Igor Vladimirovich
1 Solomyak, Mikhaĭl Zakharovich
1 Vladimirova, S. M.
1 Yakovlev, Anatoliĭ Vladimirovich
1 Yushkevich, Adol’f Pavlovich
all top 5

Serials

24 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série
22 Recueil Mathématique. Nouvelle Série
17 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
12 Russian Mathematical Surveys
12 Uspekhi Matematicheskikh Nauk [N. S.]
12 Soviet Mathematics. Doklady
10 Doklady Akademii Nauk SSSR. Novaya Seriya
9 Siberian Mathematical Journal
8 Sibirskiĭ Matematicheskiĭ Zhurnal
8 Translations. Series 2. American Mathematical Society
5 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
4 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
3 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
3 Matematicheskiĭ Sbornik. Novaya Seriya
3 Automation and Remote Control
3 Proceedings of the Steklov Institute of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Časopis Pro Pěstování Matematiky
2 Bulletin de l’Académie des Sciences de l’URSS. VII. Série
2 Translations of Mathematical Monographs
1 Canadian Journal of Mathematics
1 Journal of Soviet Mathematics
1 Voprosy Istorii Estestvoznaniya i Tekhniki
1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne
1 Historia Mathematica
1 Vestnik Leningrad University. Mathematics
1 Matematicheskie Struktury i Modelirovanie
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Acta Facultatis Rerum Naturalium Universitatis Comenianae. Mathematica
1 Mathematics and Its Applications. Soviet Series
1 Springer Monographs in Mathematics
1 Translations. Series 2. American Mathematical Society

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 1,085 times in 935 Documents Cited by Year
A characteristic property of spheres. Zbl 0107.15603
Aleksandrov, A. D.
141
1962
Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. Zbl 0018.27601
Aleksandrov, A. D.
53
1937
Intrinsic geometry of surfaces. Zbl 0146.44103
Aleksandrov, A. D.; Zalgaller, V. A.
45
1967
Zur Theorie der gemischten Volumina von konvexen Körpern. I: Verallgemeinerung einiger Begriffe der Theorie von konvexen Körpern. Zbl 0017.42603
Aleksandrov, A. D.
44
1937
Die innere Geometrie der konvexen Flächen. Zbl 0065.15102
Alexandrow, A. D.
44
1955
A contribution to chronogeometry. Zbl 0173.24603
Aleksandrov, A. D.
44
1967
Additive set-functions in abstract spaces. JFM 66.0218.01
Alexandroff, A. D.
39
1940
Intrinsic geometry of convex surfaces. (Внутренняя геометрия выпуклых поверхностей) (Innere Geometrie der konvexen Flächen.) Zbl 0038.35201
Aleksandrov, A. D.
36
1948
Existence and uniqueness of a convex surface with a given integral curvature. Zbl 0061.37604
Aleksandrov, A. D.
36
1942
Convex polyhedra. (Transl. from the Russian by N. S. Dairbekov, S. S. Kutateladze and A. B. Sossinsky. Comments and bibliography by V. A. Zalgaller. Appendices by L. A. Shor and Yu. A. Volkov). Zbl 1067.52011
Alexandrov, A. D.
32
2005
Mappings of families of sets. Zbl 0213.48903
Aleksandrov, A. D.
30
1970
Additive set-functions in abstract spaces. Zbl 0060.13502
Alexandroff, A. D.
25
1943
Additive set-functions in abstract spaces. II. JFM 67.0163.01
Alexandroff, A. D.
23
1941
Uniqueness theorems for surfaces in the large. V. Zbl 0119.16603
Aleksandrov, A. D.
22
1962
Uniqueness theorems for surfaces in the large I, II. Zbl 0122.39601
Aleksandrov, A. D.
22
1962
General theory of irregular curves. Transl. from the Russian by L. Ya. Yuzina. Zbl 0691.53002
Alexandrov, A. D.; Reshetnyak, Yu. G.
20
1989
Zur Theorie der gemischten Volumina von konvexen Körpern III. Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. Zbl 0018.42402
Aleksandrov, A. D.
19
1938
Smoothness of the convex surface of bounded Gaussian curvature. Zbl 0061.37605
Alexandroff, A.
19
1942
Über eine Verallgemeinerung der Riemannschen Geometrie. Zbl 0077.35702
Alexandrow, A. D.
19
1957
Certain estimates for the Dirichlet problem. Zbl 0100.09303
Aleksandrov, A. D.
19
1960
Eindeutigkeitsbedingungen und Abschätzungen der Lösung des Dirichlet-Problems. Zbl 0139.05702
Aleksandrov, A. D.
18
1963
Generalized Riemannian spaces. Zbl 0625.53059
Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G.
17
1986
Zur Theorie der gemischten Volumina von konvexen Körpern. IV.: Die gemischten Diskriminanten und die gemischten Volumina. Zbl 0019.32804
Aleksandrov, A. D.
17
1938
Dirichlet’s problem for the equation \(\text{Det}\| z_{ij}\| =\varphi (z_ 1,\ldots ,z_ n,z,x_ 1,\ldots ,x_ n)\). I. Zbl 0114.30202
Aleksandrov, A. D.
17
1958
Convex polyhedra. (Выпуклые многогранники.) Zbl 0041.50901
Aleksandrov, A. D.
15
1950
Mappings of spaces with families of cones and space-time transformations. Zbl 0302.50009
Aleksandrov, A. D.
15
1975
Additive set-functions in abstract spaces. Zbl 0023.39701
Aleksandrov, A. D.
13
1940
Eindeutigkeitssätze für Flächen ”im Großen”. I - III. Zbl 0101.13801
Aleksandrov, A. D.
13
1956
Eindeutigkeitssätze für Flächen ”im Großen”. V, VI. Zbl 0101.13902
Aleksandrov, A. D.
11
1958
Two-dimensional manifolds of bounded curvature. (Foundations of the intrinsic geometry of surfaces). (Zweidimensionale Mannigfaltigkeiten beschränkter Krümmung. (Grundzüge der inneren Geometrie der Flächen).) Zbl 0122.17005
Aleksandrov, A. D.; Zalgaller, V. A.
11
1962
Kurven in Mannigfaltigkeiten von beschränkter Krümmung. Zbl 0041.50803
Aleksandrov, A. D.
10
1948
Existence of a convex polyhedron and of a convex surface with a given metric. Zbl 0061.37603
Alexandroff, A.
10
1942
Ruled surfaces in metric spaces. Zbl 0096.16602
Aleksandrov, A. D.
10
1957
Selected works. Part 1: Selected scientific papers. Ed. by Yu. G. Reshetnyak and S. S. Kutateladze, transl. from the Russian by P. S. V. Naidu. Zbl 0960.01035
Alexandrov, A. D.
9
1996
On the rigidity of convex surfaces. (Über die Unverbiegbarkeit der konvexen Flächen.) Zbl 0064.40601
Aleksandrov, A. D.; Sen’kin, E. P.
9
1955
Uniqueness conditions and estimates for the solution of the Dirichlet problem. Zbl 0177.36802
Aleksandrov, A. D.
9
1968
Untersuchung über das Maximumprinzip. I. Zbl 0123.07101
Aleksandrov, A. D.
8
1958
Zur Theorie der gemischten Volumina von konvexen Körpern. IV: Die gemischten Diskriminanten und die gemischten Volumina. JFM 64.1347.01
Alexandroff, A.
7
1938
Foundations of geometry. Zbl 0555.51008
Aleksandrov, A. D.
7
1984
Uniqueness theorems for surfaces in the large. VII. Zbl 0113.16101
Aleksandrov, A. D.
6
1960
Majorization of solutions of second-order linear equations. Zbl 0177.36803
Aleksandrov, A. D.
6
1968
Additive set-functions in abstract spaces. II. Zbl 0028.07201
Aleksandrov, A. D.
5
1941
Mappings of families of sets. Zbl 0213.49001
Aleksandrov, A. D.
5
1970
Selected works. Vol. I. Geometry and applications. (Избранные труды. Том 1. Геометрия и приложения.) Zbl 1234.01015
Aleksandrov, A. D.
4
2006
Sur les théoremes d’unicité pour les surfaces fermées. Zbl 0020.40202
Alexandroff, A. D.
4
1939
Über die Oberflächenfunktion eines konvexen Körpers. (Bemerkung zur Arbeit ”Zur Theorie der gemischten Volumina von konvexen Körpern”.). Zbl 0022.40203
Alexandroff, A. D.
4
1939
Complete convex surfaces in Lobachevskian space. Zbl 0061.37607
Alexandroff, A. D.
4
1945
Convex polyhedra. (Konvexe Polyeder. Deutsche Übersetzung unter wissenschaftlicher Redaktion von Wilhelm Süss.) Zbl 0079.16303
Aleksandrov, A. D.
4
1958
Untersuchungen über das Maximumprinzip. II, III. Zbl 0125.05901
Aleksandrov, A. D.
4
1959
Untersuchungen über das Maximumprinzip. IV-VI. Zbl 0133.04405
Aleksandrov, A. D.
4
1960
Two-dimensional manifolds of bounded curvature. II. Zbl 0178.00201
Aleksandrov, A. D. (ed.); Zalgaller, V. A. (ed.)
4
1965
Zur Theorie der gemischten Volumina von konvexen Körpern. III: Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. JFM 64.1346.03
Alexandroff, A.
3
1938
Zur Theorie der gemischten Volumina von konvexen Körpern. JFM 63.1234.04
Alexandroff, A.
3
1937
Isoperimetric inequalities for curved surfaces. Zbl 0061.37608
Alexandroff, A. D.
3
1945
On the extension of a Hausdorff space to an \(H\)-closed space. Zbl 0061.39602
Alexandroff, A. D.
3
1942
On congruence-preserving mappings. Zbl 0289.50010
Aleksandrov, A. D.
3
1973
Quasigeodesics. Zbl 0162.25905
Aleksandrov, A. D.; Burago, Yu. D.
3
1965
Mapping of affine spaces with systems of cones. Zbl 0352.52002
Aleksandrov, A. D.
2
1972
Viktor Abramovich Zalgaller (on his seventieth birthday). Zbl 0744.01010
Aleksandrov, A. D.; Kutateladze, S. S.; Reshetnyak, Yu. G.; Rubinshteĭn, G. Sh.; Solomyak, M. Z.
2
1991
Selected works. Intrinsic geometry of convex surfaces. Vol. 2. Edited by S. S. Kutateladze. Transl. from the Russian by S. Vakhrameyev. Zbl 1081.01024
Alexandrov, A. D.
2
2005
Über die Frage nach der Existenz eines konvexen Körpers, bei dem die Summe der Hauptkrümmungsradien eine gegebene positive Funktion ist, welche den Bedingungen der Geschlossenheit genügt. JFM 63.0671.03
Alexandrov, A. D.
2
1937
Zur Theorie der gemischten Volumina von konvexen Körpern. II: Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. JFM 63.1235.01
Alexandroff, A.
2
1937
Über konvexe Flächen mit ebenen Schattengrenzen. Zbl 0022.40202
Alexandroff, A. D.
2
1939
Existence of a given polyhedron and of a convex surface with a given metric. Zbl 0024.35802
Aleksandrov, A. D.
2
1941
Estimates of the length of a curve on a surface. Zbl 0052.18202
Aleksandrov, A. D.; Strel’tsov, V. V.
2
1953
On groups with an invariant measure. Zbl 0063.00052
Alexandroff, A. D.
2
1942
An isoperimetric problem and estimates of the length of a curve on a surface. Zbl 0147.22404
Aleksandrov, A. D.; Strel’tsov, V. V.
2
1965
The impossibility of general estimates for solutions and of uniqueness conditions for linear equations with norms weaker than in \(L_{n}\). Zbl 0177.36901
Aleksandrov, A. D.
2
1968
An application of the theorem on the invariance of domains to existence proofs. JFM 65.0828.02
Alexandroff, A.
1
1939
Über die Oberflächenfunktion eines konvexen Körpers. JFM 65.0831.03
Alexandroff, A.
1
1939
Über eine Klasse geschlossener Flächen. JFM 64.0714.05
Alexandroff, A.
1
1938
On the coverings of the plane. JFM 64.1273.04
Alexandroff, A.
1
1937
Geometry. Textbook. (Geometriya. Uchebnoe posobie.) Zbl 0727.51001
Aleksandrov, A. D.; Netsvetaev, N. Yu.
1
1990
Mathematics. Its content, methods and meaning. Translated from the Russian by Tamas Bartha, Kurt Hirsch and S. H. Gould. Translation edited by S. H. Gould. Three volumes bound as one. Reprint of the 2nd 1969 edition, published in 3 volumes. Zbl 1049.00004
Aleksandrov, A. D. (ed.); Kolmogorov, A. N. (ed.); Lavrent’ev, M. A. (ed.)
1
1999
To the foundations of relativity theory. Zbl 0359.50013
Aleksandrov, A. D.
1
1976
On the surfaces representable as difference of convex functions. Zbl 1330.01085
Aleksandrov, A. D.
1
2012
On the foundations of geometry. Zbl 0622.51013
Aleksandrov, A. D.
1
1987
The turn of a curve in the \(n\)-dimensional Euclidean space. Zbl 0639.53002
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
Integral curvature of a curve in \(n\)-dimensional Euclidean space. Zbl 0656.53006
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
Why did Soviet scientists cease to publish abroad: The development of self-sufficiency and isolation of Russian science, 1914-1940. Zbl 0918.01018
Aleksandrov, A. D.
1
1996
Nikolaĭ Vladimirovich Efimov (obituary). Zbl 0539.01014
Aleksandrov, A. D.; Novikov, S. P.; Pogorelov, A. V.; Poznyak, È. G.; Rashevskiĭ, P. K.; Rozendorn, È. R.; Sabitov, I. Kh.; Stechkin, S. B.
1
1983
Abbildungen geordneter Räume. I. Zbl 0267.53012
Aleksandrov, A. D.
1
1972
Uniqueness theorems for surfaces in the large. IV. Translat. by Laurence Young. Zbl 0269.53023
Aleksandrov, A. D.; Volkov, Yu. A.
1
1962
Uniqueness theorems for surfaces in the large. III. Translat. by Laurence Young. Zbl 0269.53024
Aleksandrov, A. D.
1
1962
Mathematische Grundlagen der Kristallstrukturanalyse und die Bestimmung des Elementarparallelepipeds mit Hilfe von Röntgenstrahlen. Zbl 0013.09004
Delaunay, B. N.; Paduroff, N.; Alexandroff, A.
1
1934
Neue Ungleichungen für die Mischvolumen konvexer Körper. Zbl 0016.13703
Alexandrov, A.
1
1937
Ein allgemeiner Eindeutigkeitssatz für geschlossene Flächen. Zbl 0019.08104
Alexandrov, A.
1
1938
Über den Sinn der Wellenfunktionen. Zbl 0048.44202
Aleksandrov, A. D.
1
1952
On Einstein’s paradox in quantum mechanics. (Über das Einsteinsche Paradoxon in der Quantenmechanik.) Zbl 0049.13803
Aleksandrov, A. D.
1
1952
Ein Satz über Dreiecke im metrischen Raum und einige Anwendungen. Zbl 0049.39501
Aleksandrov, A. D.
1
1951
The inner metric of a convex surface in a space of constant curvature. Zbl 0061.37606
Alexandroff, A. D.
1
1944
Eine Bedingung für die Gleichheit geschlossener konvexer Flächen. Zbl 0108.35202
Aleksandrov, A. D.
1
1961
Mathematics. Its content, methods and meaning. Part 1: A general view of mathematics. Analysis. Part 2: Analytic geometry. Algebra (theory of the algebraic equation). Ordinary differential equations. Part 3: Partial differential equations. Curves and surfaces. Calculus of variations. Functions of a complex variable. Part 4: Prime numbers. Theory of probability. Approximation of functions. Approximation methods and numerical techniques. Electronic digital computers. Part 5: Theory of functions of a real variable. Linear algebra. Abstract spaces. Part 6: Topology. Functional analysis. Groups and other algebraic systems. Zbl 0111.00103
Aleksandrov, A. D. (ed.); Kolmogorov, A. N. (ed.); Lavrent’ev, M. A. (ed.)
1
1963
Mappings of ordered spaces. I. Zbl 0286.50008
Aleksandrov, A. D.
1
1974
On the maximum principle. Zbl 0143.33801
Aleksandrov, A. D.
1
1961
Some estimates for the derivative of a solution of the Dirichlet problem on the boundary. Zbl 0153.14702
Aleksandrov, A. D.
1
1967
On mean values of support functions. Zbl 0153.23603
Aleksandrov, A. D.
1
1967
The maximum principle. Zbl 0153.42402
Aleksandrov, A. D.
1
1967
Majorants of solutions and uniqueness conditions for elliptic equations. Zbl 0177.36804
Aleksandrov, A. D.
1
1968
On a certain generalization of the functional equation \(f(x+y)=f(x)+f(y)\). Zbl 0206.14304
Aleksandrov, A. D.
1
1970
On the surfaces representable as difference of convex functions. Zbl 1330.01085
Aleksandrov, A. D.
1
2012
Selected works. Vol. I. Geometry and applications. (Избранные труды. Том 1. Геометрия и приложения.) Zbl 1234.01015
Aleksandrov, A. D.
4
2006
Convex polyhedra. (Transl. from the Russian by N. S. Dairbekov, S. S. Kutateladze and A. B. Sossinsky. Comments and bibliography by V. A. Zalgaller. Appendices by L. A. Shor and Yu. A. Volkov). Zbl 1067.52011
Alexandrov, A. D.
32
2005
Selected works. Intrinsic geometry of convex surfaces. Vol. 2. Edited by S. S. Kutateladze. Transl. from the Russian by S. Vakhrameyev. Zbl 1081.01024
Alexandrov, A. D.
2
2005
Mathematics. Its content, methods and meaning. Translated from the Russian by Tamas Bartha, Kurt Hirsch and S. H. Gould. Translation edited by S. H. Gould. Three volumes bound as one. Reprint of the 2nd 1969 edition, published in 3 volumes. Zbl 1049.00004
Aleksandrov, A. D.; Kolmogorov, A. N.; Lavrent’ev, M. A.
1
1999
Selected works. Part 1: Selected scientific papers. Ed. by Yu. G. Reshetnyak and S. S. Kutateladze, transl. from the Russian by P. S. V. Naidu. Zbl 0960.01035
Alexandrov, A. D.
9
1996
Why did Soviet scientists cease to publish abroad: The development of self-sufficiency and isolation of Russian science, 1914-1940. Zbl 0918.01018
Aleksandrov, A. D.
1
1996
Viktor Abramovich Zalgaller (on his seventieth birthday). Zbl 0744.01010
Aleksandrov, A. D.; Kutateladze, S. S.; Reshetnyak, Yu. G.; Rubinshteĭn, G. Sh.; Solomyak, M. Z.
2
1991
Geometry. Textbook. (Geometriya. Uchebnoe posobie.) Zbl 0727.51001
Aleksandrov, A. D.; Netsvetaev, N. Yu.
1
1990
General theory of irregular curves. Transl. from the Russian by L. Ya. Yuzina. Zbl 0691.53002
Alexandrov, A. D.; Reshetnyak, Yu. G.
20
1989
The turn of a curve in the \(n\)-dimensional Euclidean space. Zbl 0639.53002
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
Integral curvature of a curve in \(n\)-dimensional Euclidean space. Zbl 0656.53006
Aleksandrov, A. D.; Reshetnyak, Yu. G.
1
1988
On the foundations of geometry. Zbl 0622.51013
Aleksandrov, A. D.
1
1987
Generalized Riemannian spaces. Zbl 0625.53059
Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G.
17
1986
Foundations of geometry. Zbl 0555.51008
Aleksandrov, A. D.
7
1984
Nikolaĭ Vladimirovich Efimov (obituary). Zbl 0539.01014
Aleksandrov, A. D.; Novikov, S. P.; Pogorelov, A. V.; Poznyak, È. G.; Rashevskiĭ, P. K.; Rozendorn, È. R.; Sabitov, I. Kh.; Stechkin, S. B.
1
1983
To the foundations of relativity theory. Zbl 0359.50013
Aleksandrov, A. D.
1
1976
Mappings of spaces with families of cones and space-time transformations. Zbl 0302.50009
Aleksandrov, A. D.
15
1975
Mappings of ordered spaces. I. Zbl 0286.50008
Aleksandrov, A. D.
1
1974
On congruence-preserving mappings. Zbl 0289.50010
Aleksandrov, A. D.
3
1973
Mapping of affine spaces with systems of cones. Zbl 0352.52002
Aleksandrov, A. D.
2
1972
Abbildungen geordneter Räume. I. Zbl 0267.53012
Aleksandrov, A. D.
1
1972
Mapping families of cones. Zbl 0226.50009
Aleksandrov, A. D.
1
1971
Mappings of families of sets. Zbl 0213.48903
Aleksandrov, A. D.
30
1970
Mappings of families of sets. Zbl 0213.49001
Aleksandrov, A. D.
5
1970
On a certain generalization of the functional equation \(f(x+y)=f(x)+f(y)\). Zbl 0206.14304
Aleksandrov, A. D.
1
1970
Uniqueness conditions and estimates for the solution of the Dirichlet problem. Zbl 0177.36802
Aleksandrov, A. D.
9
1968
Majorization of solutions of second-order linear equations. Zbl 0177.36803
Aleksandrov, A. D.
6
1968
The impossibility of general estimates for solutions and of uniqueness conditions for linear equations with norms weaker than in \(L_{n}\). Zbl 0177.36901
Aleksandrov, A. D.
2
1968
Majorants of solutions and uniqueness conditions for elliptic equations. Zbl 0177.36804
Aleksandrov, A. D.
1
1968
Intrinsic geometry of surfaces. Zbl 0146.44103
Aleksandrov, A. D.; Zalgaller, V. A.
45
1967
A contribution to chronogeometry. Zbl 0173.24603
Aleksandrov, A. D.
44
1967
Some estimates for the derivative of a solution of the Dirichlet problem on the boundary. Zbl 0153.14702
Aleksandrov, A. D.
1
1967
On mean values of support functions. Zbl 0153.23603
Aleksandrov, A. D.
1
1967
The maximum principle. Zbl 0153.42402
Aleksandrov, A. D.
1
1967
Two-dimensional manifolds of bounded curvature. II. Zbl 0178.00201
Aleksandrov, A. D.; Zalgaller, V. A.
4
1965
Quasigeodesics. Zbl 0162.25905
Aleksandrov, A. D.; Burago, Yu. D.
3
1965
An isoperimetric problem and estimates of the length of a curve on a surface. Zbl 0147.22404
Aleksandrov, A. D.; Strel’tsov, V. V.
2
1965
Eindeutigkeitsbedingungen und Abschätzungen der Lösung des Dirichlet-Problems. Zbl 0139.05702
Aleksandrov, A. D.
18
1963
Mathematics. Its content, methods and meaning. Part 1: A general view of mathematics. Analysis. Part 2: Analytic geometry. Algebra (theory of the algebraic equation). Ordinary differential equations. Part 3: Partial differential equations. Curves and surfaces. Calculus of variations. Functions of a complex variable. Part 4: Prime numbers. Theory of probability. Approximation of functions. Approximation methods and numerical techniques. Electronic digital computers. Part 5: Theory of functions of a real variable. Linear algebra. Abstract spaces. Part 6: Topology. Functional analysis. Groups and other algebraic systems. Zbl 0111.00103
Aleksandrov, A. D.; Kolmogorov, A. N.; Lavrent’ev, M. A.
1
1963
A characteristic property of spheres. Zbl 0107.15603
Aleksandrov, A. D.
141
1962
Uniqueness theorems for surfaces in the large. V. Zbl 0119.16603
Aleksandrov, A. D.
22
1962
Uniqueness theorems for surfaces in the large I, II. Zbl 0122.39601
Aleksandrov, A. D.
22
1962
Two-dimensional manifolds of bounded curvature. (Foundations of the intrinsic geometry of surfaces). (Zweidimensionale Mannigfaltigkeiten beschränkter Krümmung. (Grundzüge der inneren Geometrie der Flächen).) Zbl 0122.17005
Aleksandrov, A. D.; Zalgaller, V. A.
11
1962
Uniqueness theorems for surfaces in the large. IV. Translat. by Laurence Young. Zbl 0269.53023
Aleksandrov, A. D.; Volkov, Yu. A.
1
1962
Uniqueness theorems for surfaces in the large. III. Translat. by Laurence Young. Zbl 0269.53024
Aleksandrov, A. D.
1
1962
Eine Bedingung für die Gleichheit geschlossener konvexer Flächen. Zbl 0108.35202
Aleksandrov, A. D.
1
1961
On the maximum principle. Zbl 0143.33801
Aleksandrov, A. D.
1
1961
Certain estimates for the Dirichlet problem. Zbl 0100.09303
Aleksandrov, A. D.
19
1960
Uniqueness theorems for surfaces in the large. VII. Zbl 0113.16101
Aleksandrov, A. D.
6
1960
Untersuchungen über das Maximumprinzip. IV-VI. Zbl 0133.04405
Aleksandrov, A. D.
4
1960
Untersuchungen über das Maximumprinzip. II, III. Zbl 0125.05901
Aleksandrov, A. D.
4
1959
Dirichlet’s problem for the equation \(\text{Det}\| z_{ij}\| =\varphi (z_ 1,\ldots ,z_ n,z,x_ 1,\ldots ,x_ n)\). I. Zbl 0114.30202
Aleksandrov, A. D.
17
1958
Eindeutigkeitssätze für Flächen ”im Großen”. V, VI. Zbl 0101.13902
Aleksandrov, A. D.
11
1958
Untersuchung über das Maximumprinzip. I. Zbl 0123.07101
Aleksandrov, A. D.
8
1958
Convex polyhedra. (Konvexe Polyeder. Deutsche Übersetzung unter wissenschaftlicher Redaktion von Wilhelm Süss.) Zbl 0079.16303
Aleksandrov, A. D.
4
1958
Über eine Verallgemeinerung der Riemannschen Geometrie. Zbl 0077.35702
Alexandrow, A. D.
19
1957
Ruled surfaces in metric spaces. Zbl 0096.16602
Aleksandrov, A. D.
10
1957
Eindeutigkeitssätze für Flächen ”im Großen”. I - III. Zbl 0101.13801
Aleksandrov, A. D.
13
1956
Die innere Geometrie der konvexen Flächen. Zbl 0065.15102
Alexandrow, A. D.
44
1955
On the rigidity of convex surfaces. (Über die Unverbiegbarkeit der konvexen Flächen.) Zbl 0064.40601
Aleksandrov, A. D.; Sen’kin, E. P.
9
1955
Estimates of the length of a curve on a surface. Zbl 0052.18202
Aleksandrov, A. D.; Strel’tsov, V. V.
2
1953
Über den Sinn der Wellenfunktionen. Zbl 0048.44202
Aleksandrov, A. D.
1
1952
On Einstein’s paradox in quantum mechanics. (Über das Einsteinsche Paradoxon in der Quantenmechanik.) Zbl 0049.13803
Aleksandrov, A. D.
1
1952
Ein Satz über Dreiecke im metrischen Raum und einige Anwendungen. Zbl 0049.39501
Aleksandrov, A. D.
1
1951
Convex polyhedra. (Выпуклые многогранники.) Zbl 0041.50901
Aleksandrov, A. D.
15
1950
Intrinsic geometry of convex surfaces. (Внутренняя геометрия выпуклых поверхностей) (Innere Geometrie der konvexen Flächen.) Zbl 0038.35201
Aleksandrov, A. D.
36
1948
Kurven in Mannigfaltigkeiten von beschränkter Krümmung. Zbl 0041.50803
Aleksandrov, A. D.
10
1948
Complete convex surfaces in Lobachevskian space. Zbl 0061.37607
Alexandroff, A. D.
4
1945
Isoperimetric inequalities for curved surfaces. Zbl 0061.37608
Alexandroff, A. D.
3
1945
The inner metric of a convex surface in a space of constant curvature. Zbl 0061.37606
Alexandroff, A. D.
1
1944
Additive set-functions in abstract spaces. Zbl 0060.13502
Alexandroff, A. D.
25
1943
Existence and uniqueness of a convex surface with a given integral curvature. Zbl 0061.37604
Aleksandrov, A. D.
36
1942
Smoothness of the convex surface of bounded Gaussian curvature. Zbl 0061.37605
Alexandroff, A.
19
1942
Existence of a convex polyhedron and of a convex surface with a given metric. Zbl 0061.37603
Alexandroff, A.
10
1942
On the extension of a Hausdorff space to an \(H\)-closed space. Zbl 0061.39602
Alexandroff, A. D.
3
1942
On groups with an invariant measure. Zbl 0063.00052
Alexandroff, A. D.
2
1942
Additive set-functions in abstract spaces. II. JFM 67.0163.01
Alexandroff, A. D.
23
1941
Additive set-functions in abstract spaces. II. Zbl 0028.07201
Aleksandrov, A. D.
5
1941
Existence of a given polyhedron and of a convex surface with a given metric. Zbl 0024.35802
Aleksandrov, A. D.
2
1941
Additive set-functions in abstract spaces. JFM 66.0218.01
Alexandroff, A. D.
39
1940
Additive set-functions in abstract spaces. Zbl 0023.39701
Aleksandrov, A. D.
13
1940
Sur les théoremes d’unicité pour les surfaces fermées. Zbl 0020.40202
Alexandroff, A. D.
4
1939
Über die Oberflächenfunktion eines konvexen Körpers. (Bemerkung zur Arbeit ”Zur Theorie der gemischten Volumina von konvexen Körpern”.). Zbl 0022.40203
Alexandroff, A. D.
4
1939
Über konvexe Flächen mit ebenen Schattengrenzen. Zbl 0022.40202
Alexandroff, A. D.
2
1939
An application of the theorem on the invariance of domains to existence proofs. JFM 65.0828.02
Alexandroff, A.
1
1939
Über die Oberflächenfunktion eines konvexen Körpers. JFM 65.0831.03
Alexandroff, A.
1
1939
Zur Theorie der gemischten Volumina von konvexen Körpern III. Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. Zbl 0018.42402
Aleksandrov, A. D.
19
1938
Zur Theorie der gemischten Volumina von konvexen Körpern. IV.: Die gemischten Diskriminanten und die gemischten Volumina. Zbl 0019.32804
Aleksandrov, A. D.
17
1938
Zur Theorie der gemischten Volumina von konvexen Körpern. IV: Die gemischten Diskriminanten und die gemischten Volumina. JFM 64.1347.01
Alexandroff, A.
7
1938
Zur Theorie der gemischten Volumina von konvexen Körpern. III: Die Erweiterung zweier Lehrsätze Minkowskis über die konvexen Polyeder auf die beliebigen konvexen Körper. JFM 64.1346.03
Alexandroff, A.
3
1938
Über eine Klasse geschlossener Flächen. JFM 64.0714.05
Alexandroff, A.
1
1938
Ein allgemeiner Eindeutigkeitssatz für geschlossene Flächen. Zbl 0019.08104
Alexandrov, A.
1
1938
Zur Theorie der gemischten Volumina von konvexen Körpern. II. Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. Zbl 0018.27601
Aleksandrov, A. D.
53
1937
Zur Theorie der gemischten Volumina von konvexen Körpern. I: Verallgemeinerung einiger Begriffe der Theorie von konvexen Körpern. Zbl 0017.42603
Aleksandrov, A. D.
44
1937
Zur Theorie der gemischten Volumina von konvexen Körpern. JFM 63.1234.04
Alexandroff, A.
3
1937
Über die Frage nach der Existenz eines konvexen Körpers, bei dem die Summe der Hauptkrümmungsradien eine gegebene positive Funktion ist, welche den Bedingungen der Geschlossenheit genügt. JFM 63.0671.03
Alexandrov, A. D.
2
1937
Zur Theorie der gemischten Volumina von konvexen Körpern. II: Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. JFM 63.1235.01
Alexandroff, A.
2
1937
On the coverings of the plane. JFM 64.1273.04
Alexandroff, A.
1
1937
Neue Ungleichungen für die Mischvolumen konvexer Körper. Zbl 0016.13703
Alexandrov, A.
1
1937
...and 1 more Documents
all top 5

Cited by 971 Authors

17 Schneider, Rolf G.
9 Lutwak, Erwin
9 Magnanini, Rolando
8 Alesker, Semyon
8 Berestovskiĭ, Valeriĭ Nikolaevich
8 Nikolaev, Igor Georgievich
8 Weth, Tobias
7 Alexandrov, Victor A.
7 Fillastre, François
7 Vîlcu, Costin
6 Aleksandrov, Aleksandr Danilovich
6 Alexander, Stephanie B.
6 Chu, Hahng-Yun
6 Goodey, Paul R.
6 Guan, Pengfei
6 Izmestiev, Ivan
6 Li, Qirui
6 López Camino, Rafael
6 Slyn’ko, Vitalii Ivanovich
6 Stratigos, Panagiotis D.
6 Zamfirescu, Tudor I.
6 Zhao, Changjian
5 Bishop, Richard L.
5 Böröczky, Karoly jun.
5 Ciraolo, Giulio
5 Huang, Xiaotao
5 Jung, Soon-Mo
5 Kawabe, Jun
5 Montoro, Luigi
5 Reichel, Wolfgang
5 Reshetnyak, Yuriĭ Grigor’evich
5 Sakaguchi, Shigeru
5 Sciunzi, Berardino
5 Vazquez, Juan Luis
5 Wang, Lihe
5 Weil, Wolfgang
5 Yang, Deane
4 Bachman, George
4 Berg, I. David
4 Bobenko, Alexander Ivanovich
4 Chen, Shibing
4 Figalli, Alessio
4 Gálvez, Jose Antonio
4 Garofalo, Nicola
4 Hsiang, Wu-Yi
4 Huang, Yong
4 Itoh, Jin-ichi
4 Kopylov, Anatoliĭ Pavlovich
4 Krylov, Nicolaĭ Vladimirovich
4 Lester, June A.
4 Lions, Pierre-Louis
4 McCann, Robert J.
4 McMullen, Peter
4 Mira, Pablo
4 Oliker, Vladimir I.
4 Park, Choonkil
4 Pyo, Juncheol
4 Rassias, Themistocles Michael
4 Roth, Julien
4 Rouyer, Joël
4 Sedykh, Vyacheslav Dmitrievich
4 Shefel, S. Z.
4 Sirakov, Boyan Slavchev
4 Sultan, Alan
4 Trudinger, Neil Sidney
4 Urbas, John Ivan Eugene
4 Zhang, Gaoyong
4 Zhu, Guangxian
3 Bandle, Catherine
3 Banerjee, Amar Kumar
3 Bogachev, Vladimir Igorevich
3 Borisenko, Aleksandr Andreevich
3 Bueno, Antonio
3 Butscher, Adrian
3 Chentsov, Aleksandr Georgievich
3 Dai, Limei
3 de Lima, Henrique F.
3 Fall, Mouhamed Moustapha
3 Farina, Alberto
3 Gazzola, Filippo
3 Ghomi, Mohammad
3 Hsiang, Wu-Teh
3 Kamynin, Leonid Ivanovich
3 Karcher, Hermann
3 Khimchenko, B. N.
3 Kolesnikov, Alexander V.
3 Kosheleva, Olga M.
3 Kreinovich, Vladik Yakovlevich
3 Kuzminykh, Alexandr Veniaminovich
3 Li, Haizhong
3 Li, YanYan
3 Lytchak, Alexander
3 Maggi, Francesco
3 Mohapl, Jaroslav
3 Montiel, Sebastián
3 Nadirashvili, Nikolai S.
3 Nazarov, Alexander I.
3 Neilan, Michael
3 O’Rourke, Joseph
3 Petrunin, Anton Mikhailovich
...and 871 more Authors
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Cited in 236 Serials

58 Siberian Mathematical Journal
37 Transactions of the American Mathematical Society
36 Proceedings of the American Mathematical Society
32 Journal of Mathematical Analysis and Applications
29 Advances in Mathematics
25 Journal of Mathematical Sciences (New York)
21 Journal of Differential Equations
20 Mathematical Notes
20 Mathematische Annalen
19 Archiv der Mathematik
19 Geometriae Dedicata
18 Annali di Matematica Pura ed Applicata. Serie Quarta
18 Mathematische Zeitschrift
18 Calculus of Variations and Partial Differential Equations
16 Journal of Soviet Mathematics
13 Archive for Rational Mechanics and Analysis
13 Differential Geometry and its Applications
12 Manuscripta Mathematica
12 Discrete & Computational Geometry
11 Inventiones Mathematicae
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Monatshefte für Mathematik
8 Israel Journal of Mathematics
8 Journal of Functional Analysis
8 Topology and its Applications
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 The Journal of Geometric Analysis
8 Communications in Partial Differential Equations
8 Bulletin of the American Mathematical Society. New Series
8 Bulletin of the American Mathematical Society
7 Journal d’Analyse Mathématique
6 Journal of Mathematical Physics
6 Periodica Mathematica Hungarica
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 Annales de l’Institut Fourier
6 Duke Mathematical Journal
6 Journal of Geometry
6 Aequationes Mathematicae
6 Linear Algebra and its Applications
6 Journal of the European Mathematical Society (JEMS)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Bulletin of the Australian Mathematical Society
5 Acta Mathematica
5 Czechoslovak Mathematical Journal
5 Functional Analysis and its Applications
5 Fuzzy Sets and Systems
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Geometry & Topology
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Discrete Mathematics
4 Ukrainian Mathematical Journal
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Annals of Global Analysis and Geometry
4 International Journal of Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 St. Petersburg Mathematical Journal
4 Discrete and Continuous Dynamical Systems
4 Acta Mathematica Sinica. English Series
3 Applicable Analysis
3 Communications in Mathematical Physics
3 International Journal of Theoretical Physics
3 Rocky Mountain Journal of Mathematics
3 Journal of Geometry and Physics
3 Indiana University Mathematics Journal
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Combinatorial Theory. Series A
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Nachrichten
3 Advances in Applied Mathematics
3 Computer Aided Geometric Design
3 Journal of Scientific Computing
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Potential Analysis
3 Doklady Mathematics
3 Analysis (München)
3 Communications in Contemporary Mathematics
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Acta Physica Academiae Scientiarum Hungaricae
3 Science China. Mathematics
2 Journal of Applied Mathematics and Mechanics
2 Lithuanian Mathematical Journal
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Arkiv för Matematik
2 The Mathematical Intelligencer
2 Applied Mathematics and Computation
2 Bulletin de la Société Mathématique de France
2 Canadian Mathematical Bulletin
2 Journal of Approximation Theory
2 Numerische Mathematik
2 Pacific Journal of Mathematics
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Results in Mathematics
2 Semigroup Forum
2 Tohoku Mathematical Journal. Second Series
2 Mathematical and Computer Modelling
2 Geometric and Functional Analysis. GAFA
2 Automation and Remote Control
2 Expositiones Mathematicae
2 Russian Mathematics
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Cited in 56 Fields

310 Differential geometry (53-XX)
229 Partial differential equations (35-XX)
200 Convex and discrete geometry (52-XX)
72 Geometry (51-XX)
63 Measure and integration (28-XX)
62 Calculus of variations and optimal control; optimization (49-XX)
60 Functional analysis (46-XX)
57 General topology (54-XX)
42 Global analysis, analysis on manifolds (58-XX)
36 Manifolds and cell complexes (57-XX)
25 Probability theory and stochastic processes (60-XX)
24 Relativity and gravitational theory (83-XX)
23 Real functions (26-XX)
22 Combinatorics (05-XX)
22 Operator theory (47-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
19 Numerical analysis (65-XX)
18 Fluid mechanics (76-XX)
15 Group theory and generalizations (20-XX)
15 Several complex variables and analytic spaces (32-XX)
14 Potential theory (31-XX)
14 Ordinary differential equations (34-XX)
13 Topological groups, Lie groups (22-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Mechanics of deformable solids (74-XX)
11 Integral equations (45-XX)
9 Algebraic geometry (14-XX)
9 Difference and functional equations (39-XX)
9 Computer science (68-XX)
9 Operations research, mathematical programming (90-XX)
8 History and biography (01-XX)
8 Functions of a complex variable (30-XX)
8 Quantum theory (81-XX)
6 General and overarching topics; collections (00-XX)
6 Mathematical logic and foundations (03-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Abstract harmonic analysis (43-XX)
4 Nonassociative rings and algebras (17-XX)
4 Mechanics of particles and systems (70-XX)
4 Biology and other natural sciences (92-XX)
4 Systems theory; control (93-XX)
3 Category theory; homological algebra (18-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Statistics (62-XX)
2 Field theory and polynomials (12-XX)
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2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Number theory (11-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

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