Edit Profile (opens in new tab) Federer, Herbert (b. 1920 d. 2010) Co-Author Distance Author ID: 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 all top 5 Co-Authors 30 single-authored 2 Fleming, Wendell Helms 1 Demers, Maurice R. 1 Fomenko, Anatoliĭ Timofeevich 1 Ivanov, L. D. 1 Jónsson, Bjarni 1 Morse, Anthony Perry 1 Vitushkin, Anatoliĭ Georgievich 1 Ziemer, William Paul all top 5 Serials 12 Transactions of the American Mathematical Society 6 Bulletin of the American Mathematical Society 4 Indiana University Mathematics Journal 4 Proceedings of the American Mathematical Society 3 Annals of Mathematics. Second Series 2 Proceedings of the National Academy of Sciences of the United States of America 1 Archive for Rational Mechanics and Analysis 1 Grundlehren der Mathematischen Wissenschaften 1 Classics in Mathematics all top 5 Fields 11 Calculus of variations and optimal control; optimization (49-XX) 10 Measure and integration (28-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Differential geometry (53-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 4,934 times in 4,261 Documents Cited by ▼ Year ▼ Geometric measure theory. Zbl 0176.00801 Federer, Herbert 3,043 1969 Curvature measures. Zbl 0089.38402 Federer, Herbert 571 1959 Normal and integral currents. Zbl 0187.31301 Federer, H.; Fleming, W. H. 397 1960 Geometric measure theory. Repr. of the 1969 ed. Zbl 0874.49001 Federer, Herbert 188 1996 The Lebesgue set of a function whose distribution derivatives are \(p\)-th power summable. Zbl 0238.28015 Federer, Herbert; Ziemer, William P. 120 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. 90 1970 Real flat chains, cochains and variational problems. Zbl 0289.49044 Federer, Herbert 78 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 A note on the Gauss-Green theorem. Zbl 0087.27302 Federer, Herbert 35 1958 Colloquium lectures on geometric measure theory. Zbl 0392.49021 Federer, Herbert 35 1978 Some theorems on integral currents. Zbl 0136.18204 Federer, H. 32 1965 Surface area. I. II. Zbl 0060.14003 Federer, H. 27 1944 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 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. 22 1987 Some integralgeometric theorems. Zbl 0058.16405 Federer, Herbert 18 1954 On Lebesgue area. Zbl 0065.04002 Federer, Herbert 14 1955 Two theorems in geometric measure theory. Zbl 0147.31502 Federer, Herbert 13 1966 Some properties of free groups. Zbl 0035.29402 Federer, Herbert; Jonsson, Bjarni 13 1950 Currents and area. Zbl 0187.31302 Federer, H. 11 1961 Some properties of measurable functions. Zbl 0063.01319 Federer, H.; Morse, A. P. 10 1943 Hausdorff measure and Lebesgue area. Zbl 0042.28402 Federer, Herbert 10 1951 Coincidence functions and their integrals. Zbl 0060.14101 Federer, Herbert 10 1946 Essential multiplicity and Lebesgue area. Zbl 0032.14903 Federer, Herbert 8 1948 The area of a nonparametric surface. Zbl 0095.04601 Federer, Herbert 6 1960 Some properties of distributions whose partial derivatives are representable by integration. Zbl 0163.36503 Federer, H. 6 1968 Dimension and measure. Zbl 0032.15001 Federer, Herbert 6 1947 Flat chains with positive densities. Zbl 0611.49029 Federer, Herbert 5 1986 A minimizing property of extremal submanifolds. Zbl 0331.49036 Federer, Herbert 4 1975 On spherical summation of the Fourier transform of a distribution whose partial derivatives are representable by integration. Zbl 0187.04901 Federer, H. 4 1970 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 188 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. 22 1987 Flat chains with positive densities. Zbl 0611.49029 Federer, Herbert 5 1986 Colloquium lectures on geometric measure theory. Zbl 0392.49021 Federer, Herbert 35 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 78 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. 120 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. 90 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 3,043 1969 Some properties of distributions whose partial derivatives are representable by integration. Zbl 0163.36503 Federer, H. 6 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. 397 1960 The area of a nonparametric surface. Zbl 0095.04601 Federer, Herbert 6 1960 Curvature measures. Zbl 0089.38402 Federer, Herbert 571 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 13 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. 10 1943 all cited Publications top 5 cited Publications all top 5 Cited by 3,900 Authors 42 Ambrosio, Luigi 33 Sevost’yanov, Yevgen Oleksandrovych 30 Hug, Daniel 29 Morgan, Frank 28 Bory Reyes, Juan 27 Abreu-Blaya, Ricardo 25 Franchi, Bruno 25 Hardt, Robert M. 25 Lahti, Panu 25 Vodop’yanov, Sergeĭ Konstantinovich 24 Rataj, Jan 24 Ryazanov, Vladimir Il’ich 24 Ziemer, William Paul 23 Dal Maso, Gianni 23 Duzaar, Frank 23 Magnani, Valentino 22 De Lellis, Camillo 22 Salimov, Ruslan Radikovich 20 Giaquinta, Mariano 20 Mucci, Domenico 20 Zähle, Martina 19 Thibault, Lionel 19 Tien Cuong Dinh 18 Orlandi, Giandomenico 17 De Pauw, Thierry 17 Delladio, Silvano 17 Malý, Jan 16 Federer, Herbert 16 Koskela, Pekka 15 Almgren, Frederick Justin jun. 15 Fu, Joseph Howland Guthrie 15 Hajłasz, Piotr 15 Krantz, Steven George 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 Chambolle, Antonin 13 De Cicco, Virginia 13 De Philippis, Guido 13 Leaci, Antonio 13 Lin, Fang Hua 13 Marchese, Andrea 13 Martio, Olli 13 Scheven, Christoph 13 Sibony, Nessim 13 Šilhavý, Miroslav 12 Boissonnat, Jean-Daniel 12 Cianchi, Andrea 12 Figalli, Alessio 12 Fusco, Nicola 12 Schneider, Rolf G. 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 Lieutier, André 11 Lytchak, Alexander 11 Maz’ya, Vladimir Gilelevich 11 Modica, Giuseppe 11 Rivière, Tristan 11 Shanmugalingam, Nageswari 11 Simon, Leon Melvin 11 Soucek, Jiri 11 Xiao, Jie 10 Carriero, Michele 10 Fraiman, Ricardo 10 Giga, Yoshikazu 10 Heinonen, Juha 10 Hencl, Stanislav 10 Massaccesi, Annalisa 10 Müller, Stefan 10 Nour, Chadi 10 Shlyk, Vladimir Alekseevich 10 Ukhlov, Alexander Dadar-Oolovich 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 Leonardi, Gian Paolo 9 Liang, Xiangyu 9 Merlo, Andrea 9 Miklyukov, Vladimir Mikhaiĭlovich 9 Mora-Corral, Carlos 9 Parks, Harold R. 9 Sternberg, Peter J. 9 Taylor, Jonathan E. 9 Villa, Elena 9 Vittone, Davide ...and 3,800 more Authors all top 5 Cited in 503 Serials 147 The Journal of Geometric Analysis 144 Transactions of the American Mathematical Society 130 Calculus of Variations and Partial Differential Equations 125 Archive for Rational Mechanics and Analysis 113 Advances in Mathematics 103 Journal of Functional Analysis 98 Journal of Mathematical Analysis and Applications 93 Proceedings of the American Mathematical Society 69 Mathematische Zeitschrift 67 Inventiones Mathematicae 63 Annali di Matematica Pura ed Applicata. Serie Quarta 61 Manuscripta Mathematica 61 Journal of Mathematical Sciences (New York) 57 Mathematische Annalen 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 47 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 Journal of Differential Equations 41 Communications in Mathematical Physics 38 Communications in Partial Differential Equations 37 Annales de l’Institut Fourier 37 Mathematische Nachrichten 36 Journal d’Analyse Mathématique 33 Geometric and Functional Analysis. GAFA 31 Rendiconti del Seminario Matematico della Università di Padova 30 Acta Mathematica 30 Advances in Calculus of Variations 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 25 Israel Journal of Mathematics 25 Czechoslovak Mathematical Journal 25 Journal für die Reine und Angewandte Mathematik 24 Communications on Pure and Applied Mathematics 23 Revista Matemática Iberoamericana 23 SIAM Journal on Mathematical Analysis 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Arkiv för Matematik 22 Geometriae Dedicata 21 Mathematika 21 Potential Analysis 21 Journal of Convex Analysis 20 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 Nonlinear Analysis. Theory, Methods & Applications 17 Mathematical Proceedings of the Cambridge Philosophical Society 17 Annals of Global Analysis and Geometry 17 Journal of the European Mathematical Society (JEMS) 16 Ukrainian Mathematical Journal 16 The Annals of Statistics 16 Journal of Multivariate Analysis 16 Rendiconti del Circolo Matemàtico di Palermo. Serie II 15 Journal of the American Mathematical Society 15 Journal of Mathematical Imaging and Vision 15 Doklady Mathematics 15 Foundations of Computational Mathematics 14 Indiana University Mathematics Journal 14 Journal of Soviet Mathematics 14 Topology and its Applications 14 Differential Geometry and its Applications 13 Journal of Statistical Physics 13 Ergodic Theory and Dynamical Systems 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Communications in Contemporary Mathematics 13 Analysis and Geometry in Metric Spaces 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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Applied Mathematics and Optimization 12 Publications Mathématiques 12 Discrete and Continuous Dynamical Systems 12 Annales Academiae Scientiarum Fennicae. Mathematica 12 Electronic Journal of Statistics 11 Journal of Geometry and Physics 11 Tôhoku Mathematical Journal. Second Series 11 Advances in Applied Mathematics 11 Geometry & Topology 11 Acta Mathematica Sinica. English Series 10 Journal of Approximation Theory 10 Memoirs of the American Mathematical Society 10 Monatshefte für Mathematik 10 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 10 NoDEA. Nonlinear Differential Equations and Applications 10 Bernoulli 10 Conformal Geometry and Dynamics 10 Complex Analysis and Operator Theory 9 Journal of Computational Physics ...and 403 more Serials all top 5 Cited in 63 Fields 1,065 Calculus of variations and optimal control; optimization (49-XX) 887 Differential geometry (53-XX) 752 Partial differential equations (35-XX) 642 Measure and integration (28-XX) 473 Functional analysis (46-XX) 441 Global analysis, analysis on manifolds (58-XX) 420 Real functions (26-XX) 345 Functions of a complex variable (30-XX) 320 Probability theory and stochastic processes (60-XX) 282 Convex and discrete geometry (52-XX) 227 Several complex variables and analytic spaces (32-XX) 173 Dynamical systems and ergodic theory (37-XX) 173 Mechanics of deformable solids (74-XX) 169 Potential theory (31-XX) 156 Numerical analysis (65-XX) 148 Operator theory (47-XX) 140 Statistics (62-XX) 131 Manifolds and cell complexes (57-XX) 108 Computer science (68-XX) 93 Harmonic analysis on Euclidean spaces (42-XX) 92 General topology (54-XX) 89 Fluid mechanics (76-XX) 86 Topological groups, Lie groups (22-XX) 80 Statistical mechanics, structure of matter (82-XX) 76 Algebraic topology (55-XX) 75 Ordinary differential equations (34-XX) 74 Algebraic geometry (14-XX) 72 Operations research, mathematical programming (90-XX) 54 Abstract harmonic analysis (43-XX) 52 Number theory (11-XX) 52 Geometry (51-XX) 49 Quantum theory (81-XX) 47 Approximations and expansions (41-XX) 45 Information and communication theory, circuits (94-XX) 41 Systems theory; control (93-XX) 37 Group theory and generalizations (20-XX) 32 Biology and other natural sciences (92-XX) 31 Combinatorics (05-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Relativity and gravitational theory (83-XX) 19 Difference and functional equations (39-XX) 18 Mechanics of particles and systems (70-XX) 18 Optics, electromagnetic theory (78-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Mathematical logic and foundations (03-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Integral transforms, operational calculus (44-XX) 10 Integral equations (45-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 7 History and biography (01-XX) 7 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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