# zbMATH — the first resource for mathematics

## Loewner, Charles

Compute Distance To:
 Author ID: loewner.charles Published as: Loewner, C.; Loewner, Charles; Lowner, Karl; Löwner, K.; Löwner, Karl External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 38 Publications since 1917, including 3 Books Biographic References: 2 Publications
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#### Co-Authors

 31 single-authored 1 Bergman, Stefan 1 Frank, Philipp 1 Gilbarg, David 1 Karlin, Samuel 1 Mann, Henry Berthold 1 Netanyahu, Elisha 1 Neyman, Jerzy 1 Nirenberg, Louis 1 Rado, Tibor 1 Schiffer, Menahem Max 1 Solomon, Herbert 1 Szegő, Gábor
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#### Serials

 6 Mathematische Zeitschrift 3 Annals of Mathematics. Second Series 3 Bulletin of the American Mathematical Society 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal d’Analyse Mathématique 2 Advances in Mathematics 2 Journal of Mathematics and Mechanics 2 Journal of Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Duke Mathematical Journal 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Časopis Pro Pěstování Matematiky a Fysiky 1 Annals of Mathematics Studies 1 Mathematicians of Our Time 1 Contemporary Mathematicians
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#### Fields

 3 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 960 times in 841 Documents Cited by Year
Über monotone Matrixfunktionen. Zbl 0008.11301
Löwner, Karl
1934
Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. I. JFM 49.0714.01
Löwner, K.
1923
Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018
Loewner, Charles; Nirenberg, Louis
1974
Über monotone Matrixfunktionen. JFM 60.0055.01
Löwner, K.
1934
On totally positive matrices. Zbl 0068.25004
Loewner, Charles
1955
On the conformal capacity in space. Zbl 0086.28203
Loewner, Charles
1959
Generation of solutions of systems of partial differential equations by composition of infinitesimal Bäcklund transformations. Zbl 0053.38801
Loewner, Charles
1953
Some classes of functions defined by difference or differential inequalities. Zbl 0041.18202
Loewner, Charles
1950
Über Extremumsätze bei der konformen Abbildung des Äußeren des Einheitskreises. JFM 47.0325.02
Löwner, K.
1919
On generation of solutions of the biharmonic equation in the plane by conformal mappings. Zbl 0050.32306
Loewner, Charles
1953
Untersuchungen über die Verzerrung bei konformen Abbildungen des Einheitskreises $$| z| <1$$, die durch Funktionen mit nicht verschwindender Ableitung geliefert werden. JFM 46.0556.02
Löwner, K.
1917
On schlicht-monotonic functions of higher order. Zbl 0145.06405
Loewner, C.
1966
On semigroups in analysis and geometry. Zbl 0196.23701
Loewner, C.
1964
On some transformation semigroups invariant under Euclidean or non- Euclidean isometries. Zbl 0090.37202
Loewner, Charles
1959
A theorem on the partial order derived from a certain transformation semigroup. Zbl 0091.26101
Loewner, Charles
1959
A topological characterization of a class of integral operators. Zbl 0032.07401
Loewner, Charles
1948
Theory of continuous groups. Notes by Harley Flanders and Murray H. Protter. Zbl 0224.22001
Loewner, Charles
1971
On some compositions of Hadamard type in classes of analytic functions. Zbl 0089.28503
Loewner, C.; Netanyahu, E.
1959
On some transformation semigroups. Zbl 0070.38301
Loewner, Charles
1956
On the difference between the geometric and the arithmetric mean of $$n$$ quantitities. Zbl 0208.32504
Loewner, C.; Mann, H. B.
1971
Grundzüge einer Inhaltslehre im Hilbertschen Raume. JFM 65.1174.02
Löwner, K.
1939
On generation of monotonic transformations of higher order by infinitesimal transformations. Zbl 0121.29401
Loewner, Charles
1963
Some bounds for the critical free stream Mach number of a compressible flow around an obstacle. Zbl 0057.18001
Loewner, Charles
1954
Conservation laws in compressible fluid flow and associated mapping. Zbl 0051.17403
Loewner, Charles
1953
Determination of the critical exponent of the Green’s function. Zbl 0169.44202
Loewner, C.
1966
Partial differential equations invariant under conformal or projective transformations. Zbl 0298.35018
Loewner, Charles; Nirenberg, Louis
1974
Theory of continuous groups. Notes by Harley Flanders and Murray H. Protter. Zbl 0224.22001
Loewner, Charles
1971
On the difference between the geometric and the arithmetric mean of $$n$$ quantitities. Zbl 0208.32504
Loewner, C.; Mann, H. B.
1971
On schlicht-monotonic functions of higher order. Zbl 0145.06405
Loewner, C.
1966
Determination of the critical exponent of the Green’s function. Zbl 0169.44202
Loewner, C.
1966
On semigroups in analysis and geometry. Zbl 0196.23701
Loewner, C.
1964
On generation of monotonic transformations of higher order by infinitesimal transformations. Zbl 0121.29401
Loewner, Charles
1963
On the conformal capacity in space. Zbl 0086.28203
Loewner, Charles
1959
On some transformation semigroups invariant under Euclidean or non- Euclidean isometries. Zbl 0090.37202
Loewner, Charles
1959
A theorem on the partial order derived from a certain transformation semigroup. Zbl 0091.26101
Loewner, Charles
1959
On some compositions of Hadamard type in classes of analytic functions. Zbl 0089.28503
Loewner, C.; Netanyahu, E.
1959
On some transformation semigroups. Zbl 0070.38301
Loewner, Charles
1956
On totally positive matrices. Zbl 0068.25004
Loewner, Charles
1955
Some bounds for the critical free stream Mach number of a compressible flow around an obstacle. Zbl 0057.18001
Loewner, Charles
1954
Generation of solutions of systems of partial differential equations by composition of infinitesimal Bäcklund transformations. Zbl 0053.38801
Loewner, Charles
1953
On generation of solutions of the biharmonic equation in the plane by conformal mappings. Zbl 0050.32306
Loewner, Charles
1953
Conservation laws in compressible fluid flow and associated mapping. Zbl 0051.17403
Loewner, Charles
1953
Some classes of functions defined by difference or differential inequalities. Zbl 0041.18202
Loewner, Charles
1950
A topological characterization of a class of integral operators. Zbl 0032.07401
Loewner, Charles
1948
Grundzüge einer Inhaltslehre im Hilbertschen Raume. JFM 65.1174.02
Löwner, K.
1939
Über monotone Matrixfunktionen. Zbl 0008.11301
Löwner, Karl
1934
Über monotone Matrixfunktionen. JFM 60.0055.01
Löwner, K.
1934
Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. I. JFM 49.0714.01
Löwner, K.
1923
Über Extremumsätze bei der konformen Abbildung des Äußeren des Einheitskreises. JFM 47.0325.02
Löwner, K.
1919
Untersuchungen über die Verzerrung bei konformen Abbildungen des Einheitskreises $$| z| <1$$, die durch Funktionen mit nicht verschwindender Ableitung geliefert werden. JFM 46.0556.02
Löwner, K.
1917
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#### Cited by 900 Authors

 15 Rogers, Colin 13 Furuta, Takayuki 12 Prokhorov, Dmitriĭ Vladimirovich 12 Uchiyama, Mitsuru 11 Gumenyuk, Pavel 11 Hansen, Frank-Peter 10 García-Melián, Jorge 10 Jensen, Donald R. 9 Zhang, Zhijun 8 Contreras, Manuel D. 8 Díaz-Madrigal, Santiago 8 Schiffer, Menahem Max 8 Yang, Zuodong 7 Baksalary, Jerzy K. 7 Schief, Wolfgang Karl 7 Vasilev, Alexander 7 Vavřín, Zdeněk 7 Wirths, Karl-Joachim 6 Cîrstea, Florica-Corina Şt. 6 FitzGerald, Carl H. 6 Friedland, Shmuel 6 Hiai, Fumio 6 Horn, Roger Alan 6 Sun, Defeng 6 Véron, Laurent 5 Alpay, Daniel Aron 5 Bhatia, Rajendra 5 Bracci, Filippo 5 Dragomir, Sever Silvestru 5 Grunau, Hans-Christoph 5 Jian, Huaiyu 5 Osaka, Hiroyuki 5 Pascoe, James Eldred 5 Pederson, Roger N. 5 Schleissinger, Sebastian 5 Schober, Glenn Edward 5 Tomiyama, Jun 5 Trenkler, Götz 5 Vasudeva, Harkrishan Lal 5 Zhang, Liwei 4 Andrievskii, Vladimir V. 4 Avkhadiev, Farit Gabidinovich 4 Bauer, Robert Otto 4 Brézis, Haïm 4 Chon, Inheung 4 Ding, Chao 4 Donoghue, William F. jun. 4 Fiedler, Miroslav 4 Fujii, Masatoshi 4 Gehring, Frederick William 4 Gross, Jürgen 4 Hamidi, Samaneh Gholizadeh 4 Hilgert, Joachim 4 Hofmann, Karl Heinrich 4 Hotta, Ikkei 4 Jahangiri, Jay M. 4 Kamei, Eizaburo 4 Ko, Eungil 4 Lawson, Jimmie Don 4 Marcus, Moshe M. 4 Rădulescu, Vicenţiu D. 4 Ramirez, Donald E. 4 Rossi, Julio Daniel 4 Ruskai, Mary Beth 4 Sabina-de-Lis, José Claudio 4 Sano, Takashi 4 Srivastava, Hari Mohan 4 Toh, Kimchuan 4 Van Barel, Marc 4 Wang, Xu-Jia 3 Arosio, Leandro 3 Aujla, Jaspal Singh 3 Aviles, Patricio 3 Baksalary, Oskar Maria 3 Chansangiam, Pattrawut 3 de Branges de Bourcia, Louis 3 Fomin, Sergey Vladimirovich 3 Friedrich, Roland M. 3 Fritzsche, Bernd 3 Goodman, Adolph-W. 3 Grillot, Michèle 3 Iancu, Mihai 3 Kichenassamy, Satyanad 3 Kim, Yoenha 3 Kirstein, Bernd 3 Koepf, Wolfram A. 3 Lawler, Gregory Francis 3 Li, Shengguo 3 Lim, Yongdo 3 Liski, Erkki P. 3 Markham, Thomas L. 3 Mathias, Roy 3 Mi, Ling 3 Mohammed, Ahmed 3 Netanyahu, Elisha 3 Nordström, Kenneth 3 Pedersen, Gert Kjærgård 3 Ponnusamy, Saminathan 3 Roth, Oliver 3 Rovnyak, James ...and 800 more Authors
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#### Cited in 227 Serials

 85 Linear Algebra and its Applications 45 Journal of Mathematical Analysis and Applications 45 Proceedings of the American Mathematical Society 31 Transactions of the American Mathematical Society 28 Journal d’Analyse Mathématique 24 Journal of Functional Analysis 22 Journal of Differential Equations 21 Mathematische Annalen 16 Advances in Mathematics 16 Mathematische Zeitschrift 16 Bulletin of the American Mathematical Society 15 Archive for Rational Mechanics and Analysis 15 Integral Equations and Operator Theory 14 Journal of Mathematical Physics 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Computational Methods and Function Theory 11 Communications in Mathematical Physics 11 Acta Mathematica 11 Applied Mathematics and Computation 10 Linear and Multilinear Algebra 8 Israel Journal of Mathematics 7 Mathematical Programming. Series A. Series B 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Inequalities and Applications 6 Analysis and Mathematical Physics 6 Nonlinear Analysis. Theory, Methods & Applications 5 Mathematical Notes 5 Arkiv för Matematik 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 The Journal of Geometric Analysis 5 Communications in Statistics. Theory and Methods 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Rocky Mountain Journal of Mathematics 4 The Mathematical Intelligencer 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Czechoslovak Mathematical Journal 4 Journal of Statistical Planning and Inference 4 Results in Mathematics 4 Siberian Mathematical Journal 4 Constructive Approximation 4 International Journal of Mathematics 4 Lobachevskii Journal of Mathematics 3 Mathematics of Computation 3 Inventiones Mathematicae 3 Journal of Computational and Applied Mathematics 3 Journal of Multivariate Analysis 3 Journal of Soviet Mathematics 3 Monatshefte für Mathematik 3 Numerische Mathematik 3 Proceedings of the Japan Academy. Series A 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Journal of the American Mathematical Society 3 Journal of Statistical Computation and Simulation 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Positivity 3 Annales Henri Poincaré 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Kodai Mathematical Seminar Reports 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 2 Computers & Mathematics with Applications 2 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Kodai Mathematical Journal 2 Nagoya Mathematical Journal 2 Semigroup Forum 2 Studies in Applied Mathematics 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 Topology and its Applications 2 Advances in Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 SIAM Journal on Matrix Analysis and Applications 2 MCSS. Mathematics of Control, Signals, and Systems 2 Economics Letters 2 Differential Geometry and its Applications 2 Communications in Partial Differential Equations 2 Stochastic Processes and their Applications 2 Bulletin of the American Mathematical Society. New Series 2 SIAM Journal on Optimization 2 Russian Mathematics 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Journal of Applied Analysis 2 Abstract and Applied Analysis 2 Annals of Mathematics. Second Series 2 Journal of Nonlinear Mathematical Physics 2 JP Journal of Geometry and Topology 2 Journal of Statistical Mechanics: Theory and Experiment 2 Boundary Value Problems 2 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Science China. Mathematics ...and 127 more Serials
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#### Cited in 56 Fields

 202 Functions of a complex variable (30-XX) 168 Operator theory (47-XX) 164 Partial differential equations (35-XX) 132 Linear and multilinear algebra; matrix theory (15-XX) 43 Numerical analysis (65-XX) 41 Differential geometry (53-XX) 35 Real functions (26-XX) 34 Functional analysis (46-XX) 33 Probability theory and stochastic processes (60-XX) 30 Several complex variables and analytic spaces (32-XX) 30 Quantum theory (81-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Statistics (62-XX) 22 Global analysis, analysis on manifolds (58-XX) 21 Ordinary differential equations (34-XX) 21 Operations research, mathematical programming (90-XX) 18 Topological groups, Lie groups (22-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Approximations and expansions (41-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Potential theory (31-XX) 13 Systems theory; control (93-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Convex and discrete geometry (52-XX) 12 Fluid mechanics (76-XX) 10 Combinatorics (05-XX) 10 Manifolds and cell complexes (57-XX) 9 Information and communication theory, circuits (94-XX) 8 Algebraic geometry (14-XX) 8 Special functions (33-XX) 8 Computer science (68-XX) 7 Difference and functional equations (39-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Mechanics of deformable solids (74-XX) 6 Nonassociative rings and algebras (17-XX) 6 Group theory and generalizations (20-XX) 5 History and biography (01-XX) 5 Measure and integration (28-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

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