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 123 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 4,589 times in 3,969 Documents Cited by ▼ Year ▼ Geometric measure theory. Zbl 0176.00801Federer, Herbert 2,772 1969 Curvature measures. Zbl 0089.38402Federer, Herbert 536 1959 Normal and integral currents. Zbl 0187.31301Federer, H.; Fleming, W. H. 384 1960 Geometric measure theory. Repr. of the 1969 ed. Zbl 0874.49001Federer, Herbert 179 1996 The Lebesgue set of a function whose distribution derivatives are \(p\)-th power summable. Zbl 0238.28015Federer, Herbert; Ziemer, William P. 117 1972 The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension. Zbl 0194.35803Federer, H. 83 1970 Real flat chains, cochains and variational problems. Zbl 0289.49044Federer, Herbert 76 1974 The \((\Phi,k)\) rectifiable subsets of \(n\) space. Zbl 0032.14902Federer, Herbert 62 1947 The Gauss-Green theorem. Zbl 0060.14102Federer, Herbert 38 1945 Colloquium lectures on geometric measure theory. Zbl 0392.49021Federer, Herbert 34 1978 A note on the Gauss-Green theorem. Zbl 0087.27302Federer, Herbert 34 1958 Some theorems on integral currents. Zbl 0136.18204Federer, H. 32 1965 Surface area. I. II. Zbl 0060.14003Federer, H. 27 1944 A study of function spaces by spectral sequences. Zbl 0071.16602Federer, Herbert 23 1956 Measure and area. Zbl 0046.28402Federer, 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 0634.49001Federer, H. 22 1987 Some integralgeometric theorems. Zbl 0058.16405Federer, Herbert 18 1954 On Lebesgue area. Zbl 0065.04002Federer, Herbert 14 1955 Two theorems in geometric measure theory. Zbl 0147.31502Federer, Herbert 13 1966 Some properties of free groups. Zbl 0035.29402Federer, Herbert; Jonsson, Bjarni 13 1950 Currents and area. Zbl 0187.31302Federer, H. 11 1961 Some properties of measurable functions. Zbl 0063.01319Federer, H.; Morse, A. P. 10 1943 Hausdorff measure and Lebesgue area. Zbl 0042.28402Federer, Herbert 10 1951 Coincidence functions and their integrals. Zbl 0060.14101Federer, Herbert 10 1946 Essential multiplicity and Lebesgue area. Zbl 0032.14903Federer, Herbert 8 1948 Some properties of distributions whose partial derivatives are representable by integration. Zbl 0163.36503Federer, H. 6 1968 The area of a nonparametric surface. Zbl 0095.04601Federer, Herbert 6 1960 Dimension and measure. Zbl 0032.15001Federer, Herbert 6 1947 Flat chains with positive densities. Zbl 0611.49029Federer, Herbert 4 1986 A minimizing property of extremal submanifolds. Zbl 0331.49036Federer, Herbert 4 1975 On spherical summation of the Fourier transform of a distribution whose partial derivatives are representable by integration. Zbl 0187.04901Federer, H. 4 1970 Real flat chains, cochains and variational problems. Zbl 0278.49045Federer, Herbert 3 1974 Approximation of integral currents by cycles. Zbl 0187.31303Federer, H. 2 1961 An addition theorem for Lebesgue area. Zbl 0067.28301Federer, Herbert 2 1955 On Lebesgue area. II. Zbl 0086.04801Demers, Maurice R.; Federer, Herbert 2 1959 Slices and potentials. Zbl 0256.49047Federer, Herbert 1 1971 Geometric measure theory. Repr. of the 1969 ed. Zbl 0874.49001Federer, Herbert 179 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 0634.49001Federer, H. 22 1987 Flat chains with positive densities. Zbl 0611.49029Federer, Herbert 4 1986 Colloquium lectures on geometric measure theory. Zbl 0392.49021Federer, Herbert 34 1978 A minimizing property of extremal submanifolds. Zbl 0331.49036Federer, Herbert 4 1975 Real flat chains, cochains and variational problems. Zbl 0289.49044Federer, Herbert 76 1974 Real flat chains, cochains and variational problems. Zbl 0278.49045Federer, Herbert 3 1974 The Lebesgue set of a function whose distribution derivatives are \(p\)-th power summable. Zbl 0238.28015Federer, Herbert; Ziemer, William P. 117 1972 Slices and potentials. Zbl 0256.49047Federer, 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 0194.35803Federer, H. 83 1970 On spherical summation of the Fourier transform of a distribution whose partial derivatives are representable by integration. Zbl 0187.04901Federer, H. 4 1970 Geometric measure theory. Zbl 0176.00801Federer, Herbert 2,772 1969 Some properties of distributions whose partial derivatives are representable by integration. Zbl 0163.36503Federer, H. 6 1968 Two theorems in geometric measure theory. Zbl 0147.31502Federer, Herbert 13 1966 Some theorems on integral currents. Zbl 0136.18204Federer, H. 32 1965 Currents and area. Zbl 0187.31302Federer, H. 11 1961 Approximation of integral currents by cycles. Zbl 0187.31303Federer, H. 2 1961 Normal and integral currents. Zbl 0187.31301Federer, H.; Fleming, W. H. 384 1960 The area of a nonparametric surface. Zbl 0095.04601Federer, Herbert 6 1960 Curvature measures. Zbl 0089.38402Federer, Herbert 536 1959 On Lebesgue area. II. Zbl 0086.04801Demers, Maurice R.; Federer, Herbert 2 1959 A note on the Gauss-Green theorem. Zbl 0087.27302Federer, Herbert 34 1958 A study of function spaces by spectral sequences. Zbl 0071.16602Federer, Herbert 23 1956 On Lebesgue area. Zbl 0065.04002Federer, Herbert 14 1955 An addition theorem for Lebesgue area. Zbl 0067.28301Federer, Herbert 2 1955 Some integralgeometric theorems. Zbl 0058.16405Federer, Herbert 18 1954 Measure and area. Zbl 0046.28402Federer, Herbert 23 1952 Hausdorff measure and Lebesgue area. Zbl 0042.28402Federer, Herbert 10 1951 Some properties of free groups. Zbl 0035.29402Federer, Herbert; Jonsson, Bjarni 13 1950 Essential multiplicity and Lebesgue area. Zbl 0032.14903Federer, Herbert 8 1948 The \((\Phi,k)\) rectifiable subsets of \(n\) space. Zbl 0032.14902Federer, Herbert 62 1947 Dimension and measure. Zbl 0032.15001Federer, Herbert 6 1947 Coincidence functions and their integrals. Zbl 0060.14101Federer, Herbert 10 1946 The Gauss-Green theorem. Zbl 0060.14102Federer, Herbert 38 1945 Surface area. I. II. Zbl 0060.14003Federer, H. 27 1944 Some properties of measurable functions. Zbl 0063.01319Federer, H.; Morse, A. P. 10 1943 all cited Publications top 5 cited Publications all top 5 Cited by 3,644 Authors 42 Ambrosio, Luigi 32 Sevost’yanov, Yevgen Oleksandrovych 30 Hug, Daniel 29 Morgan, Frank 27 Bory Reyes, Juan 25 Abreu-Blaya, Ricardo 25 Hardt, Robert M. 24 Rataj, Jan 24 Ryazanov, Vladimir Il’ich 24 Vodop’yanov, Sergeĭ Konstantinovich 24 Ziemer, William Paul 23 Dal Maso, Gianni 23 Duzaar, Frank 23 Franchi, Bruno 22 Magnani, Valentino 20 Giaquinta, Mariano 20 Mucci, Domenico 20 Salimov, Ruslan Radikovich 20 Zähle, Martina 19 De Lellis, Camillo 19 Lahti, Panu 19 Thibault, Lionel 17 Tien Cuong Dinh 16 Federer, Herbert 16 Orlandi, Giandomenico 15 Almgren, Frederick Justin jun. 15 De Pauw, Thierry 15 Fu, Joseph Howland Guthrie 15 Koskela, Pekka 15 Malý, Jan 15 Pfeffer, Washek Frank 14 Fonseca, Irene 14 Harvey, Reese 14 Lawson, Herbert Blaine jun. 14 Mattila, Pertti 13 Delladio, Silvano 13 Hajłasz, Piotr 13 Leaci, Antonio 13 Recupero, Vincenzo 12 Chambolle, Antonin 12 Cianchi, Andrea 12 Figalli, Alessio 12 Fusco, Nicola 12 Krantz, Steven George 12 Lin, Fang Hua 12 Martio, Olli 12 Schneider, Rolf G. 12 Sibony, Nessim 12 Šilhavý, Miroslav 12 White, Brian Cabell 11 Bernig, Andreas 11 De Cicco, Virginia 11 De Philippis, Guido 11 Giusti, Enrico 11 Jerrard, Robert Leon 11 Lapidus, Michel L. 11 Maz’ya, Vladimir Gilelevich 11 Modica, Giuseppe 11 Rivière, Tristan 11 Scheven, Christoph 11 Simon, Leon Melvin 11 Soucek, Jiri 11 Xiao, Jie 10 Boissonnat, Jean-Daniel 10 Carriero, Michele 10 Fraiman, Ricardo 10 Heinonen, Juha 10 Katz, Mikhail G. 10 Müller, Stefan 10 Shlyk, Vladimir Alekseevich 9 Bellettini, Giovanni 9 Buttazzo, Giuseppe 9 Casado-Díaz, Juan 9 Chen, Gui-Qiang G. 9 David, Guy 9 Giga, Yoshikazu 9 Harrison, Jenny C. 9 Kinnunen, Juha 9 Leonardi, Gian Paolo 9 Lieutier, André 9 Marchese, Andrea 9 Miklyukov, Vladimir Mikhaiĭlovich 9 Nour, Chadi 9 Parks, Harold R. 9 Shanmugalingam, Nageswari 9 Sternberg, Peter J. 9 Taylor, Jonathan E. 9 Ukhlov, Alexander Dadar-Oolovich 9 Villa, Elena 9 Weil, Wolfgang 8 Anzellotti, Gabriele 8 Arias-Castro, Ery 8 Bangert, Victor 8 Bombieri, Enrico 8 Cholaquidis, Alejandro 8 Colombo, Giovanni 8 Fleming, Wendell Helms 8 Frid, Hermano 8 Fuchs, Martin 8 Garofalo, Nicola ...and 3,544 more Authors all top 5 Cited in 482 Serials 144 Transactions of the American Mathematical Society 130 The Journal of Geometric Analysis 116 Calculus of Variations and Partial Differential Equations 113 Archive for Rational Mechanics and Analysis 113 Advances in Mathematics 99 Journal of Functional Analysis 96 Journal of Mathematical Analysis and Applications 93 Proceedings of the American Mathematical Society 66 Inventiones Mathematicae 65 Mathematische Zeitschrift 60 Manuscripta Mathematica 54 Journal of Mathematical Sciences (New York) 53 Annali di Matematica Pura ed Applicata. Serie Quarta 48 Mathematische Annalen 47 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 45 Journal de Mathématiques Pures et Appliquées. Neuvième Série 44 Duke Mathematical Journal 44 Siberian Mathematical Journal 43 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 42 Journal of Differential Equations 39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Communications in Mathematical Physics 36 Annales de l’Institut Fourier 35 Journal d’Analyse Mathématique 35 Communications in Partial Differential Equations 34 Mathematische Nachrichten 31 Rendiconti del Seminario Matematico della Università di Padova 31 Geometric and Functional Analysis. GAFA 30 Acta Mathematica 29 Bulletin of the American Mathematical Society. New Series 27 Bulletin of the American Mathematical Society 27 Advances in Calculus of Variations 26 Mathematical Notes 26 Discrete & Computational Geometry 26 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 24 Israel Journal of Mathematics 24 Czechoslovak Mathematical Journal 24 Journal für die Reine und Angewandte Mathematik 23 Revista Matemática Iberoamericana 23 Comptes Rendus. Mathématique. Académie des Sciences, Paris 22 Communications on Pure and Applied Mathematics 22 Arkiv för Matematik 22 Geometriae Dedicata 21 Mathematika 20 SIAM Journal on Mathematical Analysis 20 Journal of Convex Analysis 19 Stochastic Processes and their Applications 19 Potential Analysis 18 Probability Theory and Related Fields 18 Annals of Mathematics. Second Series 18 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 18 Nonlinear Analysis. Theory, Methods & Applications 17 Mathematical Proceedings of the Cambridge Philosophical Society 17 St. Petersburg Mathematical Journal 16 The Annals of Statistics 16 Archiv der Mathematik 16 Journal of Multivariate Analysis 16 Rendiconti del Circolo Matemàtico di Palermo. Serie II 16 Journal of the European Mathematical Society (JEMS) 15 Ukrainian Mathematical Journal 15 Annals of Global Analysis and Geometry 15 Journal of the American Mathematical Society 15 Journal of Mathematical Imaging and Vision 15 Doklady Mathematics 14 Journal of Soviet Mathematics 14 Topology and its Applications 13 Journal of Statistical Physics 13 Ergodic Theory and Dynamical Systems 13 Differential Geometry and its Applications 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Communications in Contemporary Mathematics 13 Foundations of Computational Mathematics 12 Advances in Applied Probability 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 Annales Academiae Scientiarum Fennicae. Mathematica 12 Electronic Journal of Statistics 11 Mathematical Methods in the Applied Sciences 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 Applicable Analysis 10 Journal of Approximation Theory 10 Memoirs of the American Mathematical Society 10 Discrete and Continuous Dynamical Systems 10 Conformal Geometry and Dynamics 10 Complex Analysis and Operator Theory 9 Journal of Computational Physics 9 Functional Analysis and its Applications 9 Journal of Computational and Applied Mathematics 9 Monatshefte für Mathematik 9 Zeitschrift für Analysis und ihre Anwendungen 9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 9 Set-Valued and Variational Analysis ...and 382 more Serials all top 5 Cited in 63 Fields 980 Calculus of variations and optimal control; optimization (49-XX) 813 Differential geometry (53-XX) 690 Partial differential equations (35-XX) 587 Measure and integration (28-XX) 431 Functional analysis (46-XX) 412 Global analysis, analysis on manifolds (58-XX) 377 Real functions (26-XX) 307 Functions of a complex variable (30-XX) 305 Probability theory and stochastic processes (60-XX) 267 Convex and discrete geometry (52-XX) 215 Several complex variables and analytic spaces (32-XX) 159 Dynamical systems and ergodic theory (37-XX) 155 Mechanics of deformable solids (74-XX) 153 Potential theory (31-XX) 146 Numerical analysis (65-XX) 135 Operator theory (47-XX) 134 Statistics (62-XX) 127 Manifolds and cell complexes (57-XX) 100 Computer science (68-XX) 88 Harmonic analysis on Euclidean spaces (42-XX) 84 General topology (54-XX) 82 Fluid mechanics (76-XX) 79 Topological groups, Lie groups (22-XX) 74 Algebraic topology (55-XX) 72 Statistical mechanics, structure of matter (82-XX) 71 Algebraic geometry (14-XX) 70 Ordinary differential equations (34-XX) 62 Operations research, mathematical programming (90-XX) 51 Number theory (11-XX) 50 Abstract harmonic analysis (43-XX) 48 Quantum theory (81-XX) 45 Approximations and expansions (41-XX) 45 Geometry (51-XX) 42 Information and communication theory, circuits (94-XX) 36 Group theory and generalizations (20-XX) 35 Systems theory; control (93-XX) 30 Combinatorics (05-XX) 29 Biology and other natural sciences (92-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Relativity and gravitational theory (83-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Mathematical logic and foundations (03-XX) 16 Difference and functional equations (39-XX) 16 Mechanics of particles and systems (70-XX) 16 Optics, electromagnetic theory (78-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) 6 Commutative algebra (13-XX) 5 Sequences, series, summability (40-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 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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