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Fenchel, Werner (b. 1905 d. 1988)

Author ID: fenchel.werner Recent zbMATH articles by "Fenchel, Werner"
Published as: Fenchel, W.; Fenchel, Werner
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 68 Publications since 1928, including 9 Books
1 Further Contribution
Biographic References: 3 Publications
Co-Authors: 11 Co-Authors with 16 Joint Publications
112 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 1,184 times in 1,143 Documents Cited by Year
Theorie der konvexen Körper. Zbl 0008.07708
Bonnesen, T.; Fenchel, W.
313
1934
Convex cones, sets and functions. Zbl 0053.12203
Fenchel, W.
183
1953
Theory of convex bodies. Transl. from the German and ed. by L. Boron, C. Christenson and B. Smith, with the collab. of W. Fenchel. Zbl 0628.52001
Bonnesen, T.; Fenchel, W.
177
1987
On conjugate convex functions. Zbl 0038.20902
Fenchel, W.
105
1949
Elementary geometry in hyperbolic space. Zbl 0674.51001
Fenchel, Werner
80
1989
Theorie der konvexen Körper. Berichtigter Reprint. Zbl 0277.52001
Bonnesen, T.; Fenchel, W.
53
1974
Mengenfunktionen und konvexe Körper. Zbl 0018.42401
Fenchel, W.; Jessen, B.
48
1938
On the differential geometry of closed space curves. Zbl 0042.40006
Fenchel, Werner
46
1951
Theory of convex bodies. Reprint of the 1948 ed. (Theorie der konvexen Körper.) Zbl 0906.52001
Bonnesen, T.; Fenchel, W.
31
1971
A remark on convex sets and polarity. Zbl 0048.16502
Fenchel, W.
27
1952
On discontinuous groups of isometric transformations of the non-euclidean plane. Zbl 0034.38101
Fenchel, W.; Nielsen, J.
25
1948
Discontinuous groups of isometries in the hyperbolic plane. Edited by Asmus L. Schmidt. Zbl 1022.51016
Fenchel, Werner; Nielsen, Jakob
21
2003
Über konvexe Funktionen mit vorgeschriebenen Niveaumannigfaltigkeiten. Zbl 0074.28902
Fenchel, Werner
19
1956
Estensioni di gruppi discontinui e trasformazioni periodiche delle superficie. Zbl 0036.12902
Fenchel, W.
11
1948
Inégalités quadratiques entre les volumes mixtes des corps convexes. Zbl 0015.12006
Fenchel, Werner
9
1936
On total curvatures of Riemannian manifolds. 1. Zbl 0026.26401
Fenchel, W.
8
1940
Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050
Nielsen, Jakob
7
1986
Bemerkungen über endliche Gruppen von Abbildungsklassen. Zbl 0039.19303
Fenchel, W.
5
1950
Bemerkungen über die im Einheitskreis meromorphen schlichten Funktionen. Zbl 0002.26903
Fenchel, Werner
4
1931
Convexity through the ages. Zbl 0518.52001
Fenchel, W.
4
1983
Jakob Nielsen in memoriam. Zbl 0092.00309
Fenchel, Werner
3
1960
On Th. Bang’s solution of the Plank problem. Zbl 0044.37803
Fenchel, W.
3
1951
Über einen Jacobischen Satz der Kurventheorie. Zbl 0009.12702
Fenchel, W.
3
1934
Über fastperiodische Bewegungen in ebenen Bereichen und auf Flächen. Zbl 0011.34602
Fenchel, W.; Jessen, B.
2
1935
Ein Satz über stabile Bewegungen in der Ebene. Zbl 0014.11001
Bohr, Harald; Fenchel, W.
1
1936
Généralisation du théorème de Brunn et Minkowski concernant les corps convexes. Zbl 0015.12007
Fenchel, Werner
1
1936
Generalizations of some theorems from the geometry of numbers. (Verallgemeinerungen einiger Sätze aus der Geometrie der Zahlen.) Zbl 0018.00703
Fenchel, Werner
1
1937
Sur les variétés localement convexes des espaces projectifs. Zbl 0073.17303
Fenchel, W.
1
1956
Discontinuous groups of isometries in the hyperbolic plane. Edited by Asmus L. Schmidt. Zbl 1022.51016
Fenchel, Werner; Nielsen, Jakob
21
2003
Elementary geometry in hyperbolic space. Zbl 0674.51001
Fenchel, Werner
80
1989
Theory of convex bodies. Transl. from the German and ed. by L. Boron, C. Christenson and B. Smith, with the collab. of W. Fenchel. Zbl 0628.52001
Bonnesen, T.; Fenchel, W.
177
1987
Collected mathematical papers. Volume 1 (1913–1932). Volume 2 (1932–1955). Ed. for the Danish Mathematical Society by Vagn Lundsgaard Hansen. Zbl 0609.01050
Nielsen, Jakob
7
1986
Convexity through the ages. Zbl 0518.52001
Fenchel, W.
4
1983
Theorie der konvexen Körper. Berichtigter Reprint. Zbl 0277.52001
Bonnesen, T.; Fenchel, W.
53
1974
Theory of convex bodies. Reprint of the 1948 ed. (Theorie der konvexen Körper.) Zbl 0906.52001
Bonnesen, T.; Fenchel, W.
31
1971
Jakob Nielsen in memoriam. Zbl 0092.00309
Fenchel, Werner
3
1960
Über konvexe Funktionen mit vorgeschriebenen Niveaumannigfaltigkeiten. Zbl 0074.28902
Fenchel, Werner
19
1956
Sur les variétés localement convexes des espaces projectifs. Zbl 0073.17303
Fenchel, W.
1
1956
Convex cones, sets and functions. Zbl 0053.12203
Fenchel, W.
183
1953
A remark on convex sets and polarity. Zbl 0048.16502
Fenchel, W.
27
1952
On the differential geometry of closed space curves. Zbl 0042.40006
Fenchel, Werner
46
1951
On Th. Bang’s solution of the Plank problem. Zbl 0044.37803
Fenchel, W.
3
1951
Bemerkungen über endliche Gruppen von Abbildungsklassen. Zbl 0039.19303
Fenchel, W.
5
1950
On conjugate convex functions. Zbl 0038.20902
Fenchel, W.
105
1949
On discontinuous groups of isometric transformations of the non-euclidean plane. Zbl 0034.38101
Fenchel, W.; Nielsen, J.
25
1948
Estensioni di gruppi discontinui e trasformazioni periodiche delle superficie. Zbl 0036.12902
Fenchel, W.
11
1948
On total curvatures of Riemannian manifolds. 1. Zbl 0026.26401
Fenchel, W.
8
1940
Mengenfunktionen und konvexe Körper. Zbl 0018.42401
Fenchel, W.; Jessen, B.
48
1938
Generalizations of some theorems from the geometry of numbers. (Verallgemeinerungen einiger Sätze aus der Geometrie der Zahlen.) Zbl 0018.00703
Fenchel, Werner
1
1937
Inégalités quadratiques entre les volumes mixtes des corps convexes. Zbl 0015.12006
Fenchel, Werner
9
1936
Ein Satz über stabile Bewegungen in der Ebene. Zbl 0014.11001
Bohr, Harald; Fenchel, W.
1
1936
Généralisation du théorème de Brunn et Minkowski concernant les corps convexes. Zbl 0015.12007
Fenchel, Werner
1
1936
Über fastperiodische Bewegungen in ebenen Bereichen und auf Flächen. Zbl 0011.34602
Fenchel, W.; Jessen, B.
2
1935
Theorie der konvexen Körper. Zbl 0008.07708
Bonnesen, T.; Fenchel, W.
313
1934
Über einen Jacobischen Satz der Kurventheorie. Zbl 0009.12702
Fenchel, W.
3
1934
Bemerkungen über die im Einheitskreis meromorphen schlichten Funktionen. Zbl 0002.26903
Fenchel, Werner
4
1931
all top 5

Cited by 1,232 Authors

20 Schneider, Rolf G.
19 Martini, Horst
15 Weil, Wolfgang
14 Groemer, Helmut
12 Jefferson, Thomas R.
12 Scott, Carlton H.
9 Hernández Cifre, María A.
9 Kaiser, Mark J.
9 Lutwak, Erwin
8 Visintin, Augusto
8 Volle, Michel
7 Fajardo, María D.
7 Kannai, Yakar
7 Klain, Daniel A.
7 Martínez-Legaz, Juan-Enrique
7 Vicente-Pérez, José
7 Zhao, Changjian
6 Böröczky, Karoly jun.
6 Chakerian, Gulbank D.
6 de Saxcé, Géry
6 Dudov, Sergeĭ Ivanovich
6 Gilman, Jane P.
6 Leichtweiss, Kurt
6 Papadopoulos, Athanase
6 Rodríguez, Margarita M. L.
6 Soltan, Valeriu
5 Betke, Ulrich
5 Colesanti, Andrea
5 Diskant, Valentin Ivanovich
5 Firey, William J.
5 González Merino, Bernardo
5 Heil, Erhard
5 Keen, Linda
5 Klee, Victor LaRue
5 Leng, Gangsong
5 Longinetti, Marco
5 Maskit, Bernard
5 McMullen, Peter
5 Mielke, Alexander
5 Nádeník, Zbyněk
5 Nikonorov, Yurii Gennadyevich
5 Rockafellar, Ralph Tyrrell
5 Senyurt, Suleyman
5 Tan, Ser Peow
5 Touris, Eva
4 Bárány, Imre
4 Beardon, Alan Frank
4 Busemann, Herbert
4 Coletti, Giulianella
4 Colzani, Leonardo
4 Dekster, Boris V.
4 Ewald, Günter
4 Ftouhi, Ilias
4 Gardner, Richard J.
4 Giannetti, Flavia
4 Gigante, Giacomo
4 Goodey, Paul R.
4 Gravesen, Jens
4 Henk, Martin
4 Henrot, Antoine
4 Ivaki, Mohammad N.
4 Lassak, Marek
4 Manselli, Paolo
4 Mavronicolas, Marios
4 McLinden, Lynn
4 Milman, Vitali D.
4 Monien, Burkhard
4 Nowak, Werner Georg
4 Osiptsev, Mikhaĭl Anatol’evich
4 Parlier, Hugo
4 Penot, Jean-Paul
4 Ritoré, Manuel
4 Rodríguez García, José Manuel
4 Shephard, Geoffrey Colin
4 Venturi, Adriana
4 Yepes Nicolás, Jesús
4 Zhou, Jiazu
3 Artstein-Avidan, Shiri
3 Barthel, Woldemar
3 Bellman, Richard Ernest
3 Bianchi, Gabriele
3 Borwein, Jonathan Michael
3 Brandenberg, René
3 Brandolini, Luca
3 Bremermann, Hans Joachim
3 Çalişkan, Abdussamet
3 Campi, Stefano
3 Chen, Fangwei
3 Chen, Zhengmao
3 Cieślak, Waldemar
3 Fary, Istvan
3 Fuchs-Seliger, Susanne
3 Gritzmann, Peter
3 Gronchi, Paolo
3 Gwinner, Joachim
3 Hadwiger, Hugo
3 He, Binwu
3 Huang, Qingzhong
3 Jüttler, Bert
3 Kutateladze, Semën Samsonovich
...and 1,132 more Authors
all top 5

Cited in 300 Serials

50 Archiv der Mathematik
43 Journal of Mathematical Analysis and Applications
43 Transactions of the American Mathematical Society
36 Proceedings of the American Mathematical Society
34 Geometriae Dedicata
33 Monatshefte für Mathematik
32 Advances in Mathematics
27 Mathematische Zeitschrift
24 Journal of Optimization Theory and Applications
20 Mathematische Annalen
19 Bulletin of the American Mathematical Society
16 Israel Journal of Mathematics
15 Optimization
15 Discrete & Computational Geometry
15 The Journal of Geometric Analysis
14 Journal of Mathematical Economics
14 Manuscripta Mathematica
12 Mathematische Nachrichten
11 Acta Mathematica
11 Journal of Economic Theory
9 Mathematical Notes
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Journal of Geometry
9 Aequationes Mathematicae
9 Mathematical Programming. Series A. Series B
8 Journal d’Analyse Mathématique
8 Czechoslovak Mathematical Journal
8 Duke Mathematical Journal
8 Journal of Differential Equations
8 Journal of Functional Analysis
8 Mathematical Programming
8 Numerische Mathematik
7 Archive for Rational Mechanics and Analysis
7 The Mathematical Intelligencer
7 Results in Mathematics
7 European Journal of Operational Research
7 Journal of Convex Analysis
7 Set-Valued and Variational Analysis
6 Beiträge zur Algebra und Geometrie
6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
6 Advances in Applied Mathematics
6 Acta Mathematica Hungarica
6 Applied Mathematics Letters
6 Calculus of Variations and Partial Differential Equations
5 International Journal of Systems Science
5 Annales de l’Institut Fourier
5 Science in China. Series A
5 Journal of Global Optimization
5 Advances in Geometry
4 Applicable Analysis
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Bulletin de la Société Mathématique de France
4 Inventiones Mathematicae
4 Journal of Approximation Theory
4 Kodai Mathematical Journal
4 Siberian Mathematical Journal
4 Theoretical Computer Science
4 Topology and its Applications
4 Journal of the American Mathematical Society
4 Historia Mathematica
4 Journal of Elasticity
4 Linear Algebra and its Applications
4 Bulletin of the American Mathematical Society. New Series
4 Journal of Knot Theory and its Ramifications
4 Journal of Mathematical Sciences (New York)
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Acta Mathematica Sinica. English Series
4 Journal of High Energy Physics
4 Discrete and Continuous Dynamical Systems. Series S
4 Science China. Mathematics
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Bulletin of the Australian Mathematical Society
3 Computers & Mathematics with Applications
3 Discrete Mathematics
3 Journal of Mathematical Physics
3 Journal of Geometry and Physics
3 Journal of Mathematical Psychology
3 Numerical Functional Analysis and Optimization
3 Rendiconti del Seminario Matematico della Università di Padova
3 Tôhoku Mathematical Journal. Second Series
3 European Journal of Combinatorics
3 Ergodic Theory and Dynamical Systems
3 Chinese Annals of Mathematics. Series B
3 Annals of Global Analysis and Geometry
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Computer Aided Geometric Design
3 Mathematical and Computer Modelling
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Annals of Operations Research
3 Computational Geometry
3 Computational Mathematics and Mathematical Physics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Expositiones Mathematicae
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Vietnam Journal of Mathematics
3 Journal of Inequalities and Applications
3 Geometry & Topology
3 Computational Methods and Function Theory
3 Unternehmensforschung
3 Proceedings of the Steklov Institute of Mathematics
...and 200 more Serials
all top 5

Cited in 57 Fields

416 Convex and discrete geometry (52-XX)
154 Differential geometry (53-XX)
137 Operations research, mathematical programming (90-XX)
118 Calculus of variations and optimal control; optimization (49-XX)
77 Functions of a complex variable (30-XX)
65 Partial differential equations (35-XX)
63 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
59 Real functions (26-XX)
53 Geometry (51-XX)
52 Manifolds and cell complexes (57-XX)
44 Probability theory and stochastic processes (60-XX)
43 Functional analysis (46-XX)
37 Number theory (11-XX)
34 Several complex variables and analytic spaces (32-XX)
33 Group theory and generalizations (20-XX)
33 Numerical analysis (65-XX)
30 Operator theory (47-XX)
24 Dynamical systems and ergodic theory (37-XX)
22 Computer science (68-XX)
21 Combinatorics (05-XX)
20 Algebraic geometry (14-XX)
20 Global analysis, analysis on manifolds (58-XX)
19 Mechanics of deformable solids (74-XX)
17 History and biography (01-XX)
16 Approximations and expansions (41-XX)
15 Ordinary differential equations (34-XX)
15 Quantum theory (81-XX)
13 Measure and integration (28-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
10 Topological groups, Lie groups (22-XX)
10 Potential theory (31-XX)
10 General topology (54-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
8 Systems theory; control (93-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Abstract harmonic analysis (43-XX)
7 Statistics (62-XX)
7 Relativity and gravitational theory (83-XX)
7 Information and communication theory, circuits (94-XX)
6 Integral transforms, operational calculus (44-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Mathematical logic and foundations (03-XX)
5 Commutative algebra (13-XX)
5 Mechanics of particles and systems (70-XX)
5 Biology and other natural sciences (92-XX)
4 General and overarching topics; collections (00-XX)
4 Optics, electromagnetic theory (78-XX)
3 Sequences, series, summability (40-XX)
3 Algebraic topology (55-XX)
2 Field theory and polynomials (12-XX)
2 Difference and functional equations (39-XX)
2 Fluid mechanics (76-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year

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