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Federer, Herbert (b. 1920 d. 2010)

Author ID: federer.herbert Recent zbMATH articles by "Federer, Herbert"
Published as: Federer, Herbert; Federer, H.
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 37 Publications since 1943, including 3 Books
Biographic References: 1 Publication
Co-Authors: 5 Co-Authors with 6 Joint Publications
130 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 5,064 times in 4,375 Documents Cited by Year
Geometric measure theory. Zbl 0176.00801
Federer, Herbert
1969
Curvature measures. Zbl 0089.38402
Federer, Herbert
581
1959
Normal and integral currents. Zbl 0187.31301
Federer, H.; Fleming, W. H.
399
1960
Geometric measure theory. Repr. of the 1969 ed. Zbl 0874.49001
Federer, Herbert
192
1996
The Lebesgue set of a function whose distribution derivatives are \(p\)-th power summable. Zbl 0238.28015
Federer, Herbert; Ziemer, William P.
122
1972
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension. Zbl 0194.35803
Federer, H.
91
1970
Real flat chains, cochains and variational problems. Zbl 0289.49044
Federer, Herbert
79
1974
The \((\Phi,k)\) rectifiable subsets of \(n\) space. Zbl 0032.14902
Federer, Herbert
64
1947
The Gauss-Green theorem. Zbl 0060.14102
Federer, Herbert
38
1945
Colloquium lectures on geometric measure theory. Zbl 0392.49021
Federer, Herbert
37
1978
A note on the Gauss-Green theorem. Zbl 0087.27302
Federer, Herbert
35
1958
Some theorems on integral currents. Zbl 0136.18204
Federer, H.
32
1965
Surface area. I. II. Zbl 0060.14003
Federer, H.
27
1944
Geometric measure theory. Translated from the English by S. P. Baĭborodov, L. D. Ivanov and V. V. Trofimov. Translation edited by A. G. Vitushkin. With complements by L. D. Ivanov and A. T. Fomenko. (Геометрическая теория меры.) Zbl 0634.49001
Federer, H.
24
1987
A study of function spaces by spectral sequences. Zbl 0071.16602
Federer, Herbert
23
1956
Measure and area. Zbl 0046.28402
Federer, Herbert
23
1952
Some integralgeometric theorems. Zbl 0058.16405
Federer, Herbert
18
1954
On Lebesgue area. Zbl 0065.04002
Federer, Herbert
14
1955
Some properties of free groups. Zbl 0035.29402
Federer, Herbert; Jonsson, Bjarni
14
1950
Two theorems in geometric measure theory. Zbl 0147.31502
Federer, Herbert
13
1966
Currents and area. Zbl 0187.31302
Federer, H.
11
1961
Some properties of measurable functions. Zbl 0063.01319
Federer, H.; Morse, A. P.
11
1943
Coincidence functions and their integrals. Zbl 0060.14101
Federer, Herbert
10
1946
Hausdorff measure and Lebesgue area. Zbl 0042.28402
Federer, Herbert
10
1951
Essential multiplicity and Lebesgue area. Zbl 0032.14903
Federer, Herbert
8
1948
Some properties of distributions whose partial derivatives are representable by integration. Zbl 0163.36503
Federer, H.
7
1968
The area of a nonparametric surface. Zbl 0095.04601
Federer, Herbert
6
1960
Dimension and measure. Zbl 0032.15001
Federer, Herbert
6
1947
Flat chains with positive densities. Zbl 0611.49029
Federer, Herbert
5
1986
On spherical summation of the Fourier transform of a distribution whose partial derivatives are representable by integration. Zbl 0187.04901
Federer, H.
4
1970
A minimizing property of extremal submanifolds. Zbl 0331.49036
Federer, Herbert
4
1975
Real flat chains, cochains and variational problems. Zbl 0278.49045
Federer, Herbert
3
1974
An addition theorem for Lebesgue area. Zbl 0067.28301
Federer, Herbert
2
1955
On Lebesgue area. II. Zbl 0086.04801
Demers, Maurice R.; Federer, Herbert
2
1959
Approximation of integral currents by cycles. Zbl 0187.31303
Federer, H.
2
1961
Slices and potentials. Zbl 0256.49047
Federer, Herbert
1
1971
Geometric measure theory. Repr. of the 1969 ed. Zbl 0874.49001
Federer, Herbert
192
1996
Geometric measure theory. Translated from the English by S. P. Baĭborodov, L. D. Ivanov and V. V. Trofimov. Translation edited by A. G. Vitushkin. With complements by L. D. Ivanov and A. T. Fomenko. (Геометрическая теория меры.) Zbl 0634.49001
Federer, H.
24
1987
Flat chains with positive densities. Zbl 0611.49029
Federer, Herbert
5
1986
Colloquium lectures on geometric measure theory. Zbl 0392.49021
Federer, Herbert
37
1978
A minimizing property of extremal submanifolds. Zbl 0331.49036
Federer, Herbert
4
1975
Real flat chains, cochains and variational problems. Zbl 0289.49044
Federer, Herbert
79
1974
Real flat chains, cochains and variational problems. Zbl 0278.49045
Federer, Herbert
3
1974
The Lebesgue set of a function whose distribution derivatives are \(p\)-th power summable. Zbl 0238.28015
Federer, Herbert; Ziemer, William P.
122
1972
Slices and potentials. Zbl 0256.49047
Federer, Herbert
1
1971
The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension. Zbl 0194.35803
Federer, H.
91
1970
On spherical summation of the Fourier transform of a distribution whose partial derivatives are representable by integration. Zbl 0187.04901
Federer, H.
4
1970
Geometric measure theory. Zbl 0176.00801
Federer, Herbert
1969
Some properties of distributions whose partial derivatives are representable by integration. Zbl 0163.36503
Federer, H.
7
1968
Two theorems in geometric measure theory. Zbl 0147.31502
Federer, Herbert
13
1966
Some theorems on integral currents. Zbl 0136.18204
Federer, H.
32
1965
Currents and area. Zbl 0187.31302
Federer, H.
11
1961
Approximation of integral currents by cycles. Zbl 0187.31303
Federer, H.
2
1961
Normal and integral currents. Zbl 0187.31301
Federer, H.; Fleming, W. H.
399
1960
The area of a nonparametric surface. Zbl 0095.04601
Federer, Herbert
6
1960
Curvature measures. Zbl 0089.38402
Federer, Herbert
581
1959
On Lebesgue area. II. Zbl 0086.04801
Demers, Maurice R.; Federer, Herbert
2
1959
A note on the Gauss-Green theorem. Zbl 0087.27302
Federer, Herbert
35
1958
A study of function spaces by spectral sequences. Zbl 0071.16602
Federer, Herbert
23
1956
On Lebesgue area. Zbl 0065.04002
Federer, Herbert
14
1955
An addition theorem for Lebesgue area. Zbl 0067.28301
Federer, Herbert
2
1955
Some integralgeometric theorems. Zbl 0058.16405
Federer, Herbert
18
1954
Measure and area. Zbl 0046.28402
Federer, Herbert
23
1952
Hausdorff measure and Lebesgue area. Zbl 0042.28402
Federer, Herbert
10
1951
Some properties of free groups. Zbl 0035.29402
Federer, Herbert; Jonsson, Bjarni
14
1950
Essential multiplicity and Lebesgue area. Zbl 0032.14903
Federer, Herbert
8
1948
The \((\Phi,k)\) rectifiable subsets of \(n\) space. Zbl 0032.14902
Federer, Herbert
64
1947
Dimension and measure. Zbl 0032.15001
Federer, Herbert
6
1947
Coincidence functions and their integrals. Zbl 0060.14101
Federer, Herbert
10
1946
The Gauss-Green theorem. Zbl 0060.14102
Federer, Herbert
38
1945
Surface area. I. II. Zbl 0060.14003
Federer, H.
27
1944
Some properties of measurable functions. Zbl 0063.01319
Federer, H.; Morse, A. P.
11
1943
all top 5

Cited by 4,007 Authors

42 Ambrosio, Luigi
33 Sevost’yanov, Yevgen Oleksandrovych
32 Bory Reyes, Juan
31 Abreu-Blaya, Ricardo
30 Hug, Daniel
29 Morgan, Frank
26 Lahti, Panu
26 Vodop’yanov, Sergeĭ Konstantinovich
25 Franchi, Bruno
25 Hardt, Robert M.
24 Dal Maso, Gianni
24 Rataj, Jan
24 Ryazanov, Vladimir Il’ich
24 Ziemer, William Paul
23 Duzaar, Frank
23 Magnani, Valentino
22 De Lellis, Camillo
22 Salimov, Ruslan Radikovich
21 Giaquinta, Mariano
21 Mucci, Domenico
20 Zähle, Martina
19 De Pauw, Thierry
19 Thibault, Lionel
19 Tien Cuong Dinh
18 Delladio, Silvano
18 Orlandi, Giandomenico
17 Malý, Jan
16 De Philippis, Guido
16 Federer, Herbert
16 Hajłasz, Piotr
16 Koskela, Pekka
15 Almgren, Frederick Justin jun.
15 Chambolle, Antonin
15 Fu, Joseph Howland Guthrie
15 Krantz, Steven George
15 Martio, Olli
15 Pfeffer, Washek Frank
14 Fonseca, Irene
14 Harvey, Reese
14 Lawson, Herbert Blaine jun.
14 Mattila, Pertti
14 Recupero, Vincenzo
13 Afanas’eva, Elena Sergeevna
13 De Cicco, Virginia
13 Leaci, Antonio
13 Lin, Fang Hua
13 Marchese, Andrea
13 Scheven, Christoph
13 Sibony, Nessim
13 Šilhavý, Miroslav
12 Boissonnat, Jean-Daniel
12 Cianchi, Andrea
12 Figalli, Alessio
12 Fusco, Nicola
12 Lieutier, André
12 Miklyukov, Vladimir Mikhaiĭlovich
12 Modica, Giuseppe
12 Schneider, Rolf G.
12 Shanmugalingam, Nageswari
12 Soucek, Jiri
12 White, Brian Cabell
11 Bernig, Andreas
11 David, Guy
11 Giusti, Enrico
11 Jerrard, Robert Leon
11 Katz, Mikhail G.
11 Lapidus, Michel L.
11 Lytchak, Alexander
11 Maz’ya, Vladimir Gilelevich
11 Rivière, Tristan
11 Shlyk, Vladimir Alekseevich
11 Simon, Leon Melvin
11 Xiao, Jie
10 Carriero, Michele
10 Fraiman, Ricardo
10 Giga, Yoshikazu
10 Heinonen, Juha
10 Hencl, Stanislav
10 Leonardi, Gian Paolo
10 Massaccesi, Annalisa
10 Müller, Stefan
10 Nour, Chadi
10 Ukhlov, Alexander Dadar-Oolovich
9 Anzellotti, Gabriele
9 Bellettini, Giovanni
9 Buttazzo, Giuseppe
9 Casado-Díaz, Juan
9 Chen, Gui-Qiang G.
9 Cholaquidis, Alejandro
9 De Rosa, Antonio
9 Golberg, Anatoly
9 Harrison, Jenny C.
9 Kinnunen, Juha
9 Liang, Xiangyu
9 Lutwak, Erwin
9 Merlo, Andrea
9 Mora-Corral, Carlos
9 Parks, Harold R.
9 Saracco, Giorgio
9 Sternberg, Peter J.
...and 3,907 more Authors
all top 5

Cited in 510 Serials

150 The Journal of Geometric Analysis
144 Transactions of the American Mathematical Society
136 Calculus of Variations and Partial Differential Equations
126 Archive for Rational Mechanics and Analysis
118 Advances in Mathematics
106 Journal of Functional Analysis
99 Journal of Mathematical Analysis and Applications
93 Proceedings of the American Mathematical Society
69 Mathematische Zeitschrift
67 Inventiones Mathematicae
64 Annali di Matematica Pura ed Applicata. Serie Quarta
63 Manuscripta Mathematica
62 Journal of Mathematical Sciences (New York)
60 Mathematische Annalen
51 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
49 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
47 Journal de Mathématiques Pures et Appliquées. Neuvième Série
46 Duke Mathematical Journal
46 Siberian Mathematical Journal
46 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
43 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
42 Communications in Mathematical Physics
42 Journal of Differential Equations
38 Communications in Partial Differential Equations
37 Annales de l’Institut Fourier
37 Mathematische Nachrichten
36 Journal d’Analyse Mathématique
35 Geometric and Functional Analysis. GAFA
31 Rendiconti del Seminario Matematico della Università di Padova
31 Advances in Calculus of Variations
30 Acta Mathematica
29 Discrete & Computational Geometry
29 Bulletin of the American Mathematical Society. New Series
28 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
27 Bulletin of the American Mathematical Society
26 Mathematical Notes
26 Journal für die Reine und Angewandte Mathematik
25 Communications on Pure and Applied Mathematics
25 Israel Journal of Mathematics
25 Czechoslovak Mathematical Journal
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
24 SIAM Journal on Mathematical Analysis
23 Geometriae Dedicata
23 Revista Matemática Iberoamericana
22 Arkiv för Matematik
21 Mathematika
21 Potential Analysis
21 Journal of Convex Analysis
21 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
19 Stochastic Processes and their Applications
19 St. Petersburg Mathematical Journal
18 Archiv der Mathematik
18 Probability Theory and Related Fields
18 Annals of Mathematics. Second Series
18 Journal of the European Mathematical Society (JEMS)
18 Nonlinear Analysis. Theory, Methods & Applications
17 Mathematical Proceedings of the Cambridge Philosophical Society
17 Annals of Global Analysis and Geometry
16 Ukrainian Mathematical Journal
16 The Annals of Statistics
16 Indiana University Mathematics Journal
16 Journal of Multivariate Analysis
16 Rendiconti del Circolo Matemàtico di Palermo. Serie II
16 Journal of the American Mathematical Society
16 Analysis and Geometry in Metric Spaces
15 Topology and its Applications
15 Journal of Mathematical Imaging and Vision
15 Doklady Mathematics
15 Foundations of Computational Mathematics
14 Journal of Soviet Mathematics
14 Differential Geometry and its Applications
14 Communications in Contemporary Mathematics
13 Journal of Statistical Physics
13 Ergodic Theory and Dynamical Systems
13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
13 Discrete and Continuous Dynamical Systems
12 Advances in Applied Probability
12 Applicable Analysis
12 Mathematical Methods in the Applied Sciences
12 Mathematics of Computation
12 Chaos, Solitons and Fractals
12 Journal of Geometry and Physics
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Applied Mathematics and Optimization
12 Publications Mathématiques
12 Monatshefte für Mathematik
12 Annales Academiae Scientiarum Fennicae. Mathematica
12 Acta Mathematica Sinica. English Series
12 Electronic Journal of Statistics
11 Tôhoku Mathematical Journal. Second Series
11 Advances in Applied Mathematics
11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
11 NoDEA. Nonlinear Differential Equations and Applications
11 Geometry & Topology
10 Journal of Approximation Theory
10 Memoirs of the American Mathematical Society
10 Bernoulli
10 Conformal Geometry and Dynamics
10 Complex Analysis and Operator Theory
9 Journal of Computational Physics
...and 410 more Serials
all top 5

Cited in 63 Fields

1,092 Calculus of variations and optimal control; optimization (49-XX)
908 Differential geometry (53-XX)
775 Partial differential equations (35-XX)
661 Measure and integration (28-XX)
486 Functional analysis (46-XX)
451 Global analysis, analysis on manifolds (58-XX)
432 Real functions (26-XX)
357 Functions of a complex variable (30-XX)
327 Probability theory and stochastic processes (60-XX)
287 Convex and discrete geometry (52-XX)
231 Several complex variables and analytic spaces (32-XX)
179 Mechanics of deformable solids (74-XX)
178 Dynamical systems and ergodic theory (37-XX)
173 Potential theory (31-XX)
160 Numerical analysis (65-XX)
150 Operator theory (47-XX)
142 Statistics (62-XX)
133 Manifolds and cell complexes (57-XX)
112 Computer science (68-XX)
98 Harmonic analysis on Euclidean spaces (42-XX)
94 General topology (54-XX)
91 Fluid mechanics (76-XX)
88 Topological groups, Lie groups (22-XX)
81 Statistical mechanics, structure of matter (82-XX)
79 Algebraic topology (55-XX)
77 Ordinary differential equations (34-XX)
76 Algebraic geometry (14-XX)
71 Operations research, mathematical programming (90-XX)
57 Abstract harmonic analysis (43-XX)
56 Geometry (51-XX)
53 Number theory (11-XX)
50 Quantum theory (81-XX)
47 Approximations and expansions (41-XX)
45 Information and communication theory, circuits (94-XX)
43 Systems theory; control (93-XX)
37 Group theory and generalizations (20-XX)
35 Combinatorics (05-XX)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Biology and other natural sciences (92-XX)
25 Relativity and gravitational theory (83-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Difference and functional equations (39-XX)
19 Mechanics of particles and systems (70-XX)
18 Optics, electromagnetic theory (78-XX)
16 Mathematical logic and foundations (03-XX)
12 Classical thermodynamics, heat transfer (80-XX)
11 Integral transforms, operational calculus (44-XX)
11 Integral equations (45-XX)
9 Order, lattices, ordered algebraic structures (06-XX)
8 History and biography (01-XX)
8 Commutative algebra (13-XX)
5 General and overarching topics; collections (00-XX)
5 Special functions (33-XX)
5 Sequences, series, summability (40-XX)
5 Geophysics (86-XX)
3 Field theory and polynomials (12-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
1 General algebraic systems (08-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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