Edit Profile (opens in new tab) Federer, Herbert Compute Distance To: Compute 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 4,390 times in 3,794 Documents Cited by ▼ Year ▼ Geometric measure theory. Zbl 0176.00801Federer, Herbert 2,670 1969 Curvature measures. Zbl 0089.38402Federer, Herbert 500 1959 Normal and integral currents. Zbl 0187.31301Federer, H.; Fleming, W. H. 365 1960 Geometric measure theory. Repr. of the 1969 ed. Zbl 0874.49001Federer, Herbert 161 1996 The Lebesgue set of a function whose distribution derivatives are \(p\)-th power summable. Zbl 0238.28015Federer, Herbert; Ziemer, William P. 113 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. 80 1970 Real flat chains, cochains and variational problems. Zbl 0289.49044Federer, Herbert 74 1974 The \((\Phi,k)\) rectifiable subsets of \(n\) space. Zbl 0032.14902Federer, Herbert 57 1947 The Gauss-Green theorem. Zbl 0060.14102Federer, Herbert 38 1945 A note on the Gauss-Green theorem. Zbl 0087.27302Federer, Herbert 34 1958 Colloquium lectures on geometric measure theory. Zbl 0392.49021Federer, Herbert 32 1978 Some theorems on integral currents. Zbl 0136.18204Federer, H. 30 1965 Surface area. I. II. Zbl 0060.14003Federer, H. 25 1944 Measure and area. Zbl 0046.28402Federer, Herbert 23 1952 A study of function spaces by spectral sequences. Zbl 0071.16602Federer, Herbert 22 1956 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. 21 1987 Some integralgeometric theorems. Zbl 0058.16405Federer, Herbert 18 1954 Two theorems in geometric measure theory. Zbl 0147.31502Federer, Herbert 13 1966 On Lebesgue area. Zbl 0065.04002Federer, Herbert 13 1955 Some properties of free groups. Zbl 0035.29402Federer, Herbert; Jonsson, Bjarni 13 1950 Currents and area. Zbl 0187.31302Federer, H. 11 1961 Coincidence functions and their integrals. Zbl 0060.14101Federer, Herbert 10 1946 Some properties of measurable functions. Zbl 0063.01319Federer, H.; Morse, A. P. 10 1943 Hausdorff measure and Lebesgue area. Zbl 0042.28402Federer, Herbert 9 1951 Essential multiplicity and Lebesgue area. Zbl 0032.14903Federer, Herbert 8 1948 The area of a nonparametric surface. Zbl 0095.04601Federer, Herbert 6 1960 Dimension and measure. Zbl 0032.15001Federer, Herbert 6 1947 Some properties of distributions whose partial derivatives are representable by integration. Zbl 0163.36503Federer, H. 6 1968 On spherical summation of the Fourier transform of a distribution whose partial derivatives are representable by integration. Zbl 0187.04901Federer, H. 4 1970 Flat chains with positive densities. Zbl 0611.49029Federer, Herbert 4 1986 A minimizing property of extremal submanifolds. Zbl 0331.49036Federer, Herbert 4 1975 Real flat chains, cochains and variational problems. Zbl 0278.49045Federer, Herbert 3 1974 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 Approximation of integral currents by cycles. Zbl 0187.31303Federer, H. 2 1961 Slices and potentials. Zbl 0256.49047Federer, Herbert 1 1971 Geometric measure theory. Repr. of the 1969 ed. Zbl 0874.49001Federer, Herbert 161 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. 21 1987 Flat chains with positive densities. Zbl 0611.49029Federer, Herbert 4 1986 Colloquium lectures on geometric measure theory. Zbl 0392.49021Federer, Herbert 32 1978 A minimizing property of extremal submanifolds. Zbl 0331.49036Federer, Herbert 4 1975 Real flat chains, cochains and variational problems. Zbl 0289.49044Federer, Herbert 74 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. 113 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. 80 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 2,670 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. 30 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. 365 1960 The area of a nonparametric surface. Zbl 0095.04601Federer, Herbert 6 1960 Curvature measures. Zbl 0089.38402Federer, Herbert 500 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 22 1956 On Lebesgue area. Zbl 0065.04002Federer, Herbert 13 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 9 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 57 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. 25 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 3,470 Authors 41 Ambrosio, Luigi 31 Sevost’yanov, Yevgen Oleksandrovych 29 Morgan, Frank 28 Hug, Daniel 27 Bory Reyes, Juan 25 Abreu-Blaya, Ricardo 24 Hardt, Robert M. 24 Ryazanov, Vladimir Il’ich 24 Ziemer, William Paul 23 Dal Maso, Gianni 23 Franchi, Bruno 23 Rataj, Jan 23 Vodop’yanov, Sergeĭ Konstantinovich 22 Duzaar, Frank 20 Giaquinta, Mariano 20 Magnani, Valentino 20 Mucci, Domenico 20 Salimov, Ruslan Radikovich 18 De Lellis, Camillo 18 Thibault, Lionel 17 Zähle, Martina 16 Federer, Herbert 16 Orlandi, Giandomenico 16 Tien Cuong Dinh 15 Almgren, Frederick Justin jun. 15 De Pauw, Thierry 15 Koskela, Pekka 14 Fonseca, Irene 14 Fu, Joseph Howland Guthrie 14 Lahti, Panu 14 Malý, Jan 14 Mattila, Pertti 14 Pfeffer, Washek Frank 13 Delladio, Silvano 13 Harvey, Reese 13 Lawson, Herbert Blaine jun. 13 Leaci, Antonio 12 Chambolle, Antonin 12 Figalli, Alessio 12 Fusco, Nicola 12 Hajłasz, Piotr 12 Recupero, Vincenzo 12 Schneider, Rolf G. 12 Sibony, Nessim 12 White, Brian Cabell 11 Bernig, Andreas 11 Cianchi, Andrea 11 Giusti, Enrico 11 Jerrard, Robert Leon 11 Krantz, Steven George 11 Lin, Fang Hua 11 Martio, Olli 11 Modica, Giuseppe 11 Rivière, Tristan 11 Šilhavý, Miroslav 11 Simon, Leon Melvin 11 Soucek, Jiri 11 Xiao, Jie 10 Carriero, Michele 10 De Philippis, Guido 10 Heinonen, Juha 10 Lapidus, Michel L. 10 Scheven, Christoph 9 Bellettini, Giovanni 9 Boissonnat, Jean-Daniel 9 Buttazzo, Giuseppe 9 Casado-Díaz, Juan 9 De Cicco, Virginia 9 Giga, Yoshikazu 9 Harrison, Jenny C. 9 Katz, Mikhail G. 9 Leonardi, Gian Paolo 9 Lieutier, André 9 Maz’ya, Vladimir Gilelevich 9 Miklyukov, Vladimir Mikhaiĭlovich 9 Parks, Harold R. 9 Shlyk, Vladimir Alekseevich 9 Sternberg, Peter J. 9 Taylor, Jonathan E. 9 Villa, Elena 8 Anzellotti, Gabriele 8 Bangert, Victor 8 Bombieri, Enrico 8 Chen, Gui-Qiang G. 8 Colombo, Giovanni 8 David, Guy 8 Fleming, Wendell Helms 8 Fraiman, Ricardo 8 Frid, Hermano 8 Fuchs, Martin 8 Gutlyanskiĭ, Vladimir Ya. 8 Hencl, Stanislav 8 Karmanova, Maria B. 8 Kinnunen, Juha 8 Kirchheim, Bernd 8 Lutwak, Erwin 8 Marcus, Moshe M. 8 Müller, Stefan 8 Nour, Chadi 8 Shiffman, Bernard ...and 3,370 more Authors all top 5 Cited in 461 Serials 141 Transactions of the American Mathematical Society 130 The Journal of Geometric Analysis 111 Advances in Mathematics 110 Archive for Rational Mechanics and Analysis 108 Calculus of Variations and Partial Differential Equations 98 Journal of Functional Analysis 93 Journal of Mathematical Analysis and Applications 93 Proceedings of the American Mathematical Society 66 Inventiones Mathematicae 64 Mathematische Zeitschrift 60 Manuscripta Mathematica 53 Annali di Matematica Pura ed Applicata. Serie Quarta 53 Journal of Mathematical Sciences (New York) 47 Mathematische Annalen 45 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 45 Journal de Mathématiques Pures et Appliquées. Neuvième Série 44 Duke Mathematical Journal 43 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 43 Siberian Mathematical Journal 42 Journal of Differential Equations 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Annales de l’Institut Fourier 35 Communications in Partial Differential Equations 34 Communications in Mathematical Physics 34 Journal d’Analyse Mathématique 31 Mathematische Nachrichten 31 Rendiconti del Seminario Matematico della Università di Padova 30 Acta Mathematica 29 Geometric and Functional Analysis. GAFA 29 Bulletin of the American Mathematical Society. New Series 27 Bulletin of the American Mathematical Society 26 Mathematical Notes 26 Discrete & Computational Geometry 25 Israel Journal of Mathematics 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 24 Czechoslovak Mathematical Journal 24 Advances in Calculus of Variations 22 Arkiv för Matematik 22 Geometriae Dedicata 22 Revista Matemática Iberoamericana 22 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Journal für die Reine und Angewandte Mathematik 20 Mathematika 20 SIAM Journal on Mathematical Analysis 19 Communications on Pure and Applied Mathematics 18 Probability Theory and Related Fields 18 Stochastic Processes and their Applications 18 Annals of Mathematics. Second Series 18 Nonlinear Analysis. Theory, Methods & Applications 17 Potential Analysis 17 St. Petersburg Mathematical Journal 17 Journal of Convex Analysis 16 Archiv der Mathematik 16 Rendiconti del Circolo Matemàtico di Palermo. Serie II 15 Mathematical Proceedings of the Cambridge Philosophical Society 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 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 14 The Annals of Statistics 14 Journal of Soviet Mathematics 14 Topology and its Applications 14 Journal of the European Mathematical Society (JEMS) 13 Journal of Statistical Physics 13 Journal of Multivariate Analysis 13 Ergodic Theory and Dynamical Systems 13 Differential Geometry and its Applications 13 Foundations of Computational Mathematics 12 Advances in Applied Probability 12 Mathematics of Computation 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Applied Mathematics and Optimization 12 Publications Mathématiques 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Annales Academiae Scientiarum Fennicae. Mathematica 12 Communications in Contemporary Mathematics 12 Electronic Journal of Statistics 11 Mathematical Methods in the Applied Sciences 11 Chaos, Solitons and Fractals 11 Journal of Geometry and Physics 11 Tôhoku Mathematical Journal. Second Series 11 Advances in Applied Mathematics 11 Geometry & Topology 10 Applicable Analysis 10 Journal of Approximation Theory 10 Discrete and Continuous Dynamical Systems 10 Conformal Geometry and Dynamics 10 Acta Mathematica Sinica. English Series 9 Journal of Computational Physics 9 Functional Analysis and its Applications 9 Journal of Computational and Applied Mathematics 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 Analysis and Geometry in Metric Spaces 8 Compositio Mathematica 8 Journal of Mathematical Economics 8 Journal of Optimization Theory and Applications ...and 361 more Serials all top 5 Cited in 63 Fields 945 Calculus of variations and optimal control; optimization (49-XX) 776 Differential geometry (53-XX) 665 Partial differential equations (35-XX) 552 Measure and integration (28-XX) 414 Functional analysis (46-XX) 401 Global analysis, analysis on manifolds (58-XX) 361 Real functions (26-XX) 293 Probability theory and stochastic processes (60-XX) 291 Functions of a complex variable (30-XX) 261 Convex and discrete geometry (52-XX) 207 Several complex variables and analytic spaces (32-XX) 148 Mechanics of deformable solids (74-XX) 147 Dynamical systems and ergodic theory (37-XX) 144 Potential theory (31-XX) 141 Numerical analysis (65-XX) 130 Operator theory (47-XX) 124 Manifolds and cell complexes (57-XX) 122 Statistics (62-XX) 94 Computer science (68-XX) 84 Harmonic analysis on Euclidean spaces (42-XX) 79 General topology (54-XX) 75 Topological groups, Lie groups (22-XX) 72 Fluid mechanics (76-XX) 69 Algebraic topology (55-XX) 66 Ordinary differential equations (34-XX) 65 Statistical mechanics, structure of matter (82-XX) 62 Algebraic geometry (14-XX) 60 Operations research, mathematical programming (90-XX) 49 Abstract harmonic analysis (43-XX) 46 Number theory (11-XX) 44 Approximations and expansions (41-XX) 44 Quantum theory (81-XX) 42 Geometry (51-XX) 39 Information and communication theory, circuits (94-XX) 35 Group theory and generalizations (20-XX) 34 Systems theory; control (93-XX) 28 Biology and other natural sciences (92-XX) 26 Combinatorics (05-XX) 26 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 Mechanics of particles and systems (70-XX) 15 Mathematical logic and foundations (03-XX) 15 Difference and functional equations (39-XX) 15 Optics, electromagnetic theory (78-XX) 12 Classical thermodynamics, heat transfer (80-XX) 10 Integral equations (45-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Integral transforms, operational calculus (44-XX) 7 History and biography (01-XX) 6 Commutative algebra (13-XX) 4 Special functions (33-XX) 4 Sequences, series, summability (40-XX) 4 Geophysics (86-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Category theory; homological algebra (18-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-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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