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Aleksandrov, Aleksandr Danilovich (b. 1912 d. 1999)

Author ID: aleksandrov.a-d Recent zbMATH articles by "Aleksandrov, Aleksandr Danilovich"
Published as: Aleksandrov, A. D.; Alexandroff, A. D.; Alexandroff, A.; Alexandrov, A.; Alexandrov, A. D.; Alexandrow, A. D.; Aleksandroff, A. D.; Aleksandrow, A. D.
Further Spellings: Александров Александр Данилович
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 202 Publications since 1933, including 16 Books
8 Contributions as Editor
Biographic References: 48 Publications
Co-Authors: 65 Co-Authors with 61 Joint Publications
1,958 Co-Co-Authors
all top 5

Co-Authors

148 single-authored
11 Reshetnyak, Yuriĭ Grigor’evich
10 Kutateladze, Semën Samsonovich
9 Pogorelov, Alekseĭ Vasil’evich
7 Zalgaller, Viktor Abramovich
6 Poznyak, Èduard Genrikhovich
5 Novikov, Sergeĭ Petrovich
5 Rubinshteĭn, Gennadiĭ Shlemovich
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.
3 Volkov, Yuriĭ Aleksandrovich
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 Kuz’minykh, Aleksandr 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
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 Monov, Vladimir V.
1 Netsvetaev, Nikita Yu.
1 Nikolaev, Igor Georgievich
1 Nikulin, Mikhail Stepanovich
1 Padurov, N.
1 Pimenov, R. I.
1 Shor, L. A.
1 Sirazhdinov, Sagdy Khasanovich
1 Skopin, A. I.
1 Skrypnyk, Igor Volodymyrovych
1 Solomyak, Mikhaĭl Zakharovich
1 Tashev, Tasho D.
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 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien
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 Classics of Soviet Mathematics
1 Springer Monographs in Mathematics
1 Translations. Series 2. American Mathematical Society

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 1,477 times in 1,263 Documents Cited by Year
A characteristic property of spheres. Zbl 0107.15603
Aleksandrov, A. D.
187
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.
67
1937
Intrinsic geometry of surfaces. Zbl 0146.44103
Aleksandrov, A. D.; Zalgaller, V. A.
61
1967
Existence and uniqueness of a convex surface with a given integral curvature. Zbl 0061.37604
Aleksandrov, A. D.
58
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.
57
2005
Uniqueness theorems for surfaces in the large. V. Zbl 0119.16603
Aleksandrov, A. D.
50
1962
Zur Theorie der gemischten Volumina von konvexen Körpern. I: Verallgemeinerung einiger Begriffe der Theorie von konvexen Körpern. Zbl 0017.42603
Aleksandrov, A. D.
50
1937
Die innere Geometrie der konvexen Flächen. Zbl 0065.15102
Alexandrow, A. D.
48
1955
A contribution to chronogeometry. Zbl 0173.24603
Aleksandrov, A. D.
44
1967
Intrinsic geometry of convex surfaces. (Внутренняя геометрия выпуклых поверхностей) (Innere Geometrie der konvexen Flächen.) Zbl 0038.35201
Aleksandrov, A. D.
43
1948
Uniqueness theorems for surfaces in the large. I–III. (Eindeutigkeitssätze für Flächen „im Großen“. I–III.) Zbl 0101.13801
Aleksandrov, A. D.
42
1956
Additive set-functions in abstract spaces. JFM 66.0218.01
Alexandroff, A. D.
39
1940
Uniqueness theorems for surfaces in the large I, II. Zbl 0122.39601
Aleksandrov, A. D.
36
1962
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.
32
1938
Additive set-functions in abstract spaces. Zbl 0060.13502
Alexandroff, A. D.
31
1943
Mappings of families of sets. Zbl 0213.48903
Aleksandrov, A. D.
30
1970
Certain estimates for the Dirichlet problem. Zbl 0100.09303
Aleksandrov, A. D.
27
1960
Convex polyhedra. (Выпуклые многогранники.) Zbl 0041.50901
Aleksandrov, A. D.
27
1950
Smoothness of the convex surface of bounded Gaussian curvature. Zbl 0061.37605
Alexandroff, A.
26
1942
General theory of irregular curves. Transl. from the Russian by L. Ya. Yuzina. Zbl 0691.53002
Alexandrov, A. D.; Reshetnyak, Yu. G.
25
1989
Über eine Verallgemeinerung der Riemannschen Geometrie. Zbl 0077.35702
Alexandrow, A. D.
25
1957
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.
25
1958
Generalized Riemannian spaces. Zbl 0625.53059
Aleksandrov, A. D.; Berestovskij, V. N.; Nikolaev, I. G.
24
1986
Additive set-functions in abstract spaces. II. JFM 67.0163.01
Alexandroff, A. D.
24
1941
Eindeutigkeitsbedingungen und Abschätzungen der Lösung des Dirichlet-Problems. Zbl 0139.05702
Aleksandrov, A. D.
21
1963
Mappings of spaces with families of cones and space-time transformations. Zbl 0302.50009
Aleksandrov, A. D.
20
1975
Zur Theorie der gemischten Volumina von konvexen Körpern. IV.: Die gemischten Diskriminanten und die gemischten Volumina. Zbl 0019.32804
Aleksandrov, A. D.
18
1938
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.
17
1996
Uniqueness conditions and estimates for the solution of the Dirichlet problem. Zbl 0177.36802
Aleksandrov, A. D.
16
1968
Additive set-functions in abstract spaces. Zbl 0023.39701
Aleksandrov, A. D.
16
1940
Eindeutigkeitssätze für Flächen ”im Großen”. V, VI. Zbl 0101.13902
Aleksandrov, A. D.
15
1958
Uniqueness theorems for surfaces in the large. VII. Zbl 0113.16101
Aleksandrov, A. D.
14
1960
Existence of a convex polyhedron and of a convex surface with a given metric. Zbl 0061.37603
Alexandroff, A.
13
1942
Two-dimensional manifolds of bounded curvature. (Foundations of the intrinsic geometry of surfaces). (Двумерные многообразия ограниченной кривизны (Основы внутренней геометрии поверхностей)) (Zweidimensionale Mannigfaltigkeiten beschränkter Krümmung. (Grundzüge der inneren Geometrie der Flächen).) Zbl 0122.17005
Aleksandrov, A. D.; Zalgaller, V. A.
13
1962
Ein Satz über Dreiecke im metrischen Raum und einige Anwendungen. Zbl 0049.39501
Aleksandrov, A. D.
13
1951
Über die Oberflächenfunktion eines konvexen Körpers. JFM 65.0831.03
Alexandroff, A.
10
1939
Zur Theorie der gemischten Volumina von konvexen Körpern. IV: Die gemischten Diskriminanten und die gemischten Volumina. JFM 64.1347.01
Alexandroff, A.
10
1938
Ruled surfaces in metric spaces. Zbl 0096.16602
Aleksandrov, A. D.
10
1957
Kurven in Mannigfaltigkeiten von beschränkter Krümmung. Zbl 0041.50803
Aleksandrov, A. D.
10
1948
On the rigidity of convex surfaces. (Über die Unverbiegbarkeit der konvexen Flächen.) Zbl 0064.40601
Aleksandrov, A. D.; Sen’kin, E. P.
9
1955
Untersuchung über das Maximumprinzip. I. Zbl 0123.07101
Aleksandrov, A. D.
9
1958
Foundations of geometry. Zbl 0555.51008
Aleksandrov, A. D.
7
1984
Majorization of solutions of second-order linear equations. Zbl 0177.36803
Aleksandrov, A. D.
7
1968
Sur les théoremes d’unicité pour les surfaces fermées. Zbl 0020.40202
Alexandroff, A. D.
7
1939
Zur Theorie der gemischten Volumina von konvexen Körpern. JFM 63.1234.04
Alexandroff, A.
6
1937
Über die Oberflächenfunktion eines konvexen Körpers. (Bemerkung zur Arbeit ”Zur Theorie der gemischten Volumina von konvexen Körpern”.). Zbl 0022.40203
Alexandroff, A. D.
6
1939
Additive set-functions in abstract spaces. II. Zbl 0028.07201
Aleksandrov, A. D.
6
1941
Complete convex surfaces in Lobachevskian space. Zbl 0061.37607
Alexandroff, A. D.
5
1945
Convex polyhedra. (Konvexe Polyeder. Deutsche Übersetzung unter wissenschaftlicher Redaktion von Wilhelm Süss.) Zbl 0079.16303
Aleksandrov, A. D.
5
1958
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
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
4
1965
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.
4
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
3
1999
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. II: Neue Ungleichungen zwischen den gemischten Volumina und ihre Anwendungen. JFM 63.1235.01
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
Quasigeodesics. Zbl 0162.25905
Aleksandrov, A. D.; Burago, Yu. D.
3
1965
Existence of a given polyhedron and of a convex surface with a given metric. Zbl 0024.35802
Aleksandrov, A. D.
3
1941
On congruence-preserving mappings. Zbl 0289.50010
Aleksandrov, A. D.
3
1973
On the surfaces representable as difference of convex functions. Zbl 1330.01085
Aleksandrov, A. D.
3
2012
On the foundations of relativity theory. Zbl 0359.50013
Aleksandrov, A. D.
2
1976
Sur les théorèmes d’unicité pour les surfaces fermées. JFM 65.0828.03
Alexandroff, A. D.
2
1939
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
On groups with an invariant measure. Zbl 0063.00052
Alexandroff, A. D.
2
1942
On the maximum principle. Zbl 0143.33801
Aleksandrov, A. D.
2
1961
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
Über konvexe Flächen mit ebenen Schattengrenzen. Zbl 0022.40202
Alexandroff, A. D.
2
1939
Uniqueness theorems for surfaces in the large. IV. Translat. by Laurence Young. Zbl 0269.53023
Aleksandrov, A. D.; Volkov, Yu. A.
2
1962
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
Estimates of the length of a curve on a surface. Zbl 0052.18202
Aleksandrov, A. D.; Strel’tsov, V. V.
2
1953
Boris A. Rozenfeld: on the 70th anniversary of his birth. Zbl 0634.01021
Aleksandrov, A. D.; Demidov, S. S.; Grigoryan, A. T.; Matvievskaya, G. P.; Sirazhdinov, S. S.; Yushkevich, A. P.
1
1988
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
Geometry. Textbook. (Geometriya. Uchebnoe posobie.) Zbl 0727.51001
Aleksandrov, A. D.; Netsvetaev, N. Yu.
1
1990
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
Selected works. Vol. 2. Convex polyhedra. Reprint of the 1950 original with new comments and supplementary references by V. A. Zalgaller. (Избранные труды. Том 2. Выпуклые многогранники.) Zbl 1236.01036
Aleksandrov, A. D.
1
2007
On a certain generalization of the functional equation \(f(x+y)=f(x)+f(y)\). Zbl 0206.14304
Aleksandrov, A. D.
1
1970
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
An application of the theorem on the invariance of domains to existence proofs. JFM 65.0828.02
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
The inner metric of a convex surface in a space of constant curvature. Zbl 0061.37606
Alexandroff, A. D.
1
1944
Eindeutigkeitssätze für Flächen ”im Großen”. IV. Zbl 0101.13901
Aleksandrov, A. D.; Volkov, Yu. A.
1
1958
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
1
1963
General method for majorizing the solutions of the Dirichlet problem. Zbl 0146.34603
Aleksandrov, A. D.
1
1966
Majorisierung der Lösungen von linearen Gleichungen zweiter Ordnung. Zbl 0146.34702
Aleksandrov, A. D.
1
1966
Über Majoranten der Lösungen und Eindeutigkeitsbedingungen für elliptische Gleichungen. Zbl 0146.34801
Aleksandrov, A. D.
1
1966
Unmöglichkeit von allgemeinen Abschätzungen der Lösungen und von Eindeutigkeitsbedingungen für lineare Gleichungen mit Normen, die schwächer als solche in \(L_ n\) sind. Zbl 0146.34802
Aleksandrov, A. D.
1
1966
Einige Abschätzungen von Lösungen des Dirichletschen Problems. Zbl 0146.34902
Aleksandrov, A. D.
1
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
Majorants of solutions and uniqueness conditions for elliptic equations. Zbl 0177.36804
Aleksandrov, A. D.
1
1968
On the surfaces representable as difference of convex functions. Zbl 1330.01085
Aleksandrov, A. D.
3
2012
Selected works. Vol. 2. Convex polyhedra. Reprint of the 1950 original with new comments and supplementary references by V. A. Zalgaller. (Избранные труды. Том 2. Выпуклые многогранники.) Zbl 1236.01036
Aleksandrov, A. D.
1
2007
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.
57
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.
4
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
3
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.
17
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.
25
1989
Boris A. Rozenfeld: on the 70th anniversary of his birth. Zbl 0634.01021
Aleksandrov, A. D.; Demidov, S. S.; Grigoryan, A. T.; Matvievskaya, G. P.; Sirazhdinov, S. S.; Yushkevich, A. P.
1
1988
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.
24
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
On the foundations of relativity theory. Zbl 0359.50013
Aleksandrov, A. D.
2
1976
Mappings of spaces with families of cones and space-time transformations. Zbl 0302.50009
Aleksandrov, A. D.
20
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.
16
1968
Majorization of solutions of second-order linear equations. Zbl 0177.36803
Aleksandrov, A. D.
7
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.
61
1967
A contribution to chronogeometry. Zbl 0173.24603
Aleksandrov, A. D.
44
1967
Einige Abschätzungen von Lösungen des Dirichletschen Problems. Zbl 0146.34902
Aleksandrov, A. D.
1
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
General method for majorizing the solutions of the Dirichlet problem. Zbl 0146.34603
Aleksandrov, A. D.
1
1966
Majorisierung der Lösungen von linearen Gleichungen zweiter Ordnung. Zbl 0146.34702
Aleksandrov, A. D.
1
1966
Über Majoranten der Lösungen und Eindeutigkeitsbedingungen für elliptische Gleichungen. Zbl 0146.34801
Aleksandrov, A. D.
1
1966
Unmöglichkeit von allgemeinen Abschätzungen der Lösungen und von Eindeutigkeitsbedingungen für lineare Gleichungen mit Normen, die schwächer als solche in \(L_ n\) sind. Zbl 0146.34802
Aleksandrov, A. D.
1
1966
Two-dimensional manifolds of bounded curvature. II. Zbl 0178.00201
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.
21
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
1
1963
A characteristic property of spheres. Zbl 0107.15603
Aleksandrov, A. D.
187
1962
Uniqueness theorems for surfaces in the large. V. Zbl 0119.16603
Aleksandrov, A. D.
50
1962
Uniqueness theorems for surfaces in the large I, II. Zbl 0122.39601
Aleksandrov, A. D.
36
1962
Two-dimensional manifolds of bounded curvature. (Foundations of the intrinsic geometry of surfaces). (Двумерные многообразия ограниченной кривизны (Основы внутренней геометрии поверхностей)) (Zweidimensionale Mannigfaltigkeiten beschränkter Krümmung. (Grundzüge der inneren Geometrie der Flächen).) Zbl 0122.17005
Aleksandrov, A. D.; Zalgaller, V. A.
13
1962
Uniqueness theorems for surfaces in the large. IV. Translat. by Laurence Young. Zbl 0269.53023
Aleksandrov, A. D.; Volkov, Yu. A.
2
1962
Uniqueness theorems for surfaces in the large. III. Translat. by Laurence Young. Zbl 0269.53024
Aleksandrov, A. D.
1
1962
On the maximum principle. Zbl 0143.33801
Aleksandrov, A. D.
2
1961
Eine Bedingung für die Gleichheit geschlossener konvexer Flächen. Zbl 0108.35202
Aleksandrov, A. D.
1
1961
Certain estimates for the Dirichlet problem. Zbl 0100.09303
Aleksandrov, A. D.
27
1960
Uniqueness theorems for surfaces in the large. VII. Zbl 0113.16101
Aleksandrov, A. D.
14
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.
25
1958
Eindeutigkeitssätze für Flächen ”im Großen”. V, VI. Zbl 0101.13902
Aleksandrov, A. D.
15
1958
Untersuchung über das Maximumprinzip. I. Zbl 0123.07101
Aleksandrov, A. D.
9
1958
Convex polyhedra. (Konvexe Polyeder. Deutsche Übersetzung unter wissenschaftlicher Redaktion von Wilhelm Süss.) Zbl 0079.16303
Aleksandrov, A. D.
5
1958
Eindeutigkeitssätze für Flächen ”im Großen”. IV. Zbl 0101.13901
Aleksandrov, A. D.; Volkov, Yu. A.
1
1958
Über eine Verallgemeinerung der Riemannschen Geometrie. Zbl 0077.35702
Alexandrow, A. D.
25
1957
Ruled surfaces in metric spaces. Zbl 0096.16602
Aleksandrov, A. D.
10
1957
Uniqueness theorems for surfaces in the large. I–III. (Eindeutigkeitssätze für Flächen „im Großen“. I–III.) Zbl 0101.13801
Aleksandrov, A. D.
42
1956
Die innere Geometrie der konvexen Flächen. Zbl 0065.15102
Alexandrow, A. D.
48
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.
13
1951
Convex polyhedra. (Выпуклые многогранники.) Zbl 0041.50901
Aleksandrov, A. D.
27
1950
Flächen, die durch Differenzen konvexer Funktionen darstellbar sind. Zbl 0039.18003
Aleksandrov, A. D.
1
1950
Intrinsic geometry of convex surfaces. (Внутренняя геометрия выпуклых поверхностей) (Innere Geometrie der konvexen Flächen.) Zbl 0038.35201
Aleksandrov, A. D.
43
1948
Kurven in Mannigfaltigkeiten von beschränkter Krümmung. Zbl 0041.50803
Aleksandrov, A. D.
10
1948
Grundzüge der inneren Geometrie der Flächen. Zbl 0036.23301
Aleksandrov, A. D.
1
1948
Grundzüge der inneren Geometrie der Flächen. Zbl 0038.35102
Aleksandrov, A. D.
1
1948
Complete convex surfaces in Lobachevskian space. Zbl 0061.37607
Alexandroff, A. D.
5
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.
31
1943
Existence and uniqueness of a convex surface with a given integral curvature. Zbl 0061.37604
Aleksandrov, A. D.
58
1942
Smoothness of the convex surface of bounded Gaussian curvature. Zbl 0061.37605
Alexandroff, A.
26
1942
Existence of a convex polyhedron and of a convex surface with a given metric. Zbl 0061.37603
Alexandroff, A.
13
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.
24
1941
Additive set-functions in abstract spaces. II. Zbl 0028.07201
Aleksandrov, A. D.
6
1941
Existence of a given polyhedron and of a convex surface with a given metric. Zbl 0024.35802
Aleksandrov, A. D.
3
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.
16
1940
Über die Oberflächenfunktion eines konvexen Körpers. JFM 65.0831.03
Alexandroff, A.
10
1939
Sur les théoremes d’unicité pour les surfaces fermées. Zbl 0020.40202
Alexandroff, A. D.
7
1939
Über die Oberflächenfunktion eines konvexen Körpers. (Bemerkung zur Arbeit ”Zur Theorie der gemischten Volumina von konvexen Körpern”.). Zbl 0022.40203
Alexandroff, A. D.
6
1939
Sur les théorèmes d’unicité pour les surfaces fermées. JFM 65.0828.03
Alexandroff, A. D.
2
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
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.
32
1938
...and 16 more Documents
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Cited by 1,358 Authors

17 Schneider, Rolf G.
12 Zhao, Changjian
11 López Camino, Rafael
11 Sciunzi, Berardino
10 Lutwak, Erwin
10 Magnanini, Rolando
10 Montoro, Luigi
9 Alesker, Semyon
9 Krylov, Nicolaĭ Vladimirovich
8 Berestovskiĭ, Valeriĭ Nikolaevich
8 Fillastre, François
8 Li, Qirui
8 Mira, Pablo
8 Nikolaev, Igor Georgievich
8 Vîlcu, Costin
8 Weth, Tobias
7 Alexandrov, Victor A.
7 Gálvez, Jose Antonio
7 Guan, Pengfei
7 Izmestiev, Ivan
6 Aleksandrov, Aleksandr Danilovich
6 Alexander, Stephanie B.
6 Böröczky, Karoly jun.
6 Chu, Hahng-Yun
6 Ciraolo, Giulio
6 Esposito, Francesco
6 Goodey, Paul R.
6 Pei, Long
6 Sakaguchi, Shigeru
6 Schlenker, Jean-Marc
6 Sheng, Weimin
6 Slyn’ko, Vitalii Ivanovich
6 Stratigos, Panagiotis D.
6 Vazquez, Juan Luis
6 Wang, Zhizhang
6 Xia, Chao
6 Yang, Deane
6 Zamfirescu, Tudor I.
5 Bachman, George
5 Bishop, Richard L.
5 Bueno, Antonio
5 Chen, Shibing
5 Huang, Xiaotao
5 Huang, Yong
5 Jung, Soon-Mo
5 Kawabe, Jun
5 Li, Haizhong
5 Reichel, Wolfgang
5 Reshetnyak, Yuriĭ Grigor’evich
5 Roth, Julien
5 Sedykh, Vyacheslav Dmitrievich
5 Smirnov, Sergeĭ Nikolaevich
5 Wang, Lihe
5 Weil, Wolfgang
5 Ye, Deping
5 Zhang, Gaoyong
4 Berg, I. David
4 Bobenko, Alexander Ivanovich
4 Borisenko, Aleksandr Andreevich
4 Bruell, Gabriele
4 Dai, Limei
4 Espinar, José María
4 Farina, Alberto
4 Figalli, Alessio
4 Fragalà, Ilaria
4 Garofalo, Nicola
4 Gazzola, Filippo
4 Hsiang, Wu-Yi
4 Hua, Bobo
4 Itoh, Jin-ichi
4 Kopylov, Anatoliĭ Pavlovich
4 Lester, June A.
4 Lions, Pierre-Louis
4 Lytchak, Alexander
4 McCann, Robert J.
4 McMullen, Peter
4 Nadirashvili, Nikolai S.
4 Nazarov, Alexander I.
4 Oliker, Vladimir I.
4 O’Rourke, Joseph
4 Park, Choonkil
4 Poggesi, Giorgio
4 Pyo, Juncheol
4 Rassias, Themistocles Michael
4 Rouyer, Joël
4 Shefel, S. Z.
4 Sirakov, Boyan Slavchev
4 Sultan, Alan
4 Trudinger, Neil Sidney
4 Urbas, John Ivan Eugene
4 Zhu, Guangxian
3 Artstein-Avidan, Shiri
3 Bandle, Catherine
3 Banerjee, Amar Kumar
3 Baudrier, Étienne
3 Bërdëllima, Arian
3 Bertrand, Jérôme
3 Bogachev, Vladimir Igorevich
3 Butscher, Adrian
3 Caboussat, Alexandre
...and 1,258 more Authors
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Cited in 302 Serials

62 Siberian Mathematical Journal
46 Advances in Mathematics
42 Transactions of the American Mathematical Society
40 Proceedings of the American Mathematical Society
38 Journal of Mathematical Analysis and Applications
34 Calculus of Variations and Partial Differential Equations
27 Journal of Mathematical Sciences (New York)
26 Journal of Differential Equations
25 Mathematische Annalen
23 Geometriae Dedicata
21 Mathematical Notes
20 Annali di Matematica Pura ed Applicata. Serie Quarta
19 Archiv der Mathematik
19 Mathematische Zeitschrift
19 The Journal of Geometric Analysis
16 Archive for Rational Mechanics and Analysis
16 Journal of Soviet Mathematics
15 Differential Geometry and its Applications
14 Discrete & Computational Geometry
13 Journal of Functional Analysis
12 Inventiones Mathematicae
12 Manuscripta Mathematica
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Israel Journal of Mathematics
10 Monatshefte für Mathematik
10 Annals of Global Analysis and Geometry
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Communications in Partial Differential Equations
8 Journal d’Analyse Mathématique
8 Duke Mathematical Journal
8 Topology and its Applications
8 Bulletin of the American Mathematical Society. New Series
8 Journal of the European Mathematical Society (JEMS)
8 Bulletin of the American Mathematical Society
7 Annales de l’Institut Fourier
7 Functional Analysis and its Applications
7 Mathematische Nachrichten
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Linear Algebra and its Applications
7 Advanced Nonlinear Studies
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Mathematics in Engineering
6 Journal of Mathematical Physics
6 Periodica Mathematica Hungarica
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 Journal of Geometry
6 Aequationes Mathematicae
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Geometry & Topology
6 Communications in Contemporary Mathematics
5 Bulletin of the Australian Mathematical Society
5 Discrete Mathematics
5 Rocky Mountain Journal of Mathematics
5 Acta Mathematica
5 Czechoslovak Mathematical Journal
5 Fuzzy Sets and Systems
5 Indiana University Mathematics Journal
5 Journal für die Reine und Angewandte Mathematik
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 Results in Mathematics
5 St. Petersburg Mathematical Journal
5 Discrete and Continuous Dynamical Systems
5 Acta Mathematica Sinica. English Series
5 Bulletin of the Brazilian Mathematical Society. New Series
4 Acta Mathematica Academiae Scientiarum Hungaricae
4 Applicable Analysis
4 Ukrainian Mathematical Journal
4 Journal of Geometry and Physics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Mathematika
4 Pacific Journal of Mathematics
4 Advances in Applied Mathematics
4 Journal of Scientific Computing
4 International Journal of Mathematics
4 Potential Analysis
4 Sbornik: Mathematics
4 Nonlinear Analysis. Real World Applications
4 Oberwolfach Reports
4 Complex Variables and Elliptic Equations
4 Science China. Mathematics
3 Communications in Mathematical Physics
3 International Journal of Theoretical Physics
3 Bulletin de la Société Mathématique de France
3 Canadian Mathematical Bulletin
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Combinatorial Theory. Series A
3 Numerische Mathematik
3 Rendiconti del Seminario Matemàtico e Fisico di Milano
3 Computer Aided Geometric Design
3 Automation and Remote Control
3 SIAM Journal on Mathematical Analysis
3 Expositiones Mathematicae
3 Journal of Mathematical Imaging and Vision
3 Turkish Journal of Mathematics
3 Bulletin des Sciences Mathématiques
3 Doklady Mathematics
3 Analysis (München)
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Communications on Pure and Applied Analysis
3 Acta Physica Academiae Scientiarum Hungaricae
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Cited in 57 Fields

437 Differential geometry (53-XX)
353 Partial differential equations (35-XX)
292 Convex and discrete geometry (52-XX)
91 Calculus of variations and optimal control; optimization (49-XX)
86 Geometry (51-XX)
74 Functional analysis (46-XX)
73 Measure and integration (28-XX)
66 General topology (54-XX)
60 Global analysis, analysis on manifolds (58-XX)
52 Manifolds and cell complexes (57-XX)
37 Numerical analysis (65-XX)
33 Operator theory (47-XX)
32 Probability theory and stochastic processes (60-XX)
31 Real functions (26-XX)
30 Combinatorics (05-XX)
27 Fluid mechanics (76-XX)
27 Relativity and gravitational theory (83-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
22 Functions of a complex variable (30-XX)
22 Several complex variables and analytic spaces (32-XX)
21 Topological groups, Lie groups (22-XX)
21 Potential theory (31-XX)
21 Ordinary differential equations (34-XX)
21 Dynamical systems and ergodic theory (37-XX)
20 Computer science (68-XX)
19 Group theory and generalizations (20-XX)
14 Integral equations (45-XX)
13 History and biography (01-XX)
13 Order, lattices, ordered algebraic structures (06-XX)
13 Operations research, mathematical programming (90-XX)
11 General and overarching topics; collections (00-XX)
11 Algebraic geometry (14-XX)
11 Mechanics of deformable solids (74-XX)
10 Quantum theory (81-XX)
9 Mathematical logic and foundations (03-XX)
9 Difference and functional equations (39-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Abstract harmonic analysis (43-XX)
8 Systems theory; control (93-XX)
7 Biology and other natural sciences (92-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Algebraic topology (55-XX)
5 Mechanics of particles and systems (70-XX)
4 Nonassociative rings and algebras (17-XX)
4 Statistics (62-XX)
4 Optics, electromagnetic theory (78-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Field theory and polynomials (12-XX)
3 Category theory; homological algebra (18-XX)
2 Commutative algebra (13-XX)
2 Special functions (33-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Approximations and expansions (41-XX)
1 Geophysics (86-XX)

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