## Monographs in Mathematics

 Short Title: Monogr. Math., Basel Publisher: Birkhäuser, Cham ISSN: 1017-0480; 2296-4886/e Online: http://rd.springer.com/bookseries/4843 Predecessor: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften. Mathematische Reihe Comments: Book series; Indexed cover-to-cover
 Documents Indexed: 33 Publications (since 1983)
all top 5

### Latest Volumes

 109 (2021) 108 (2020) 107 (2020) 106 (2019) 105 (2016) 104 (2014) 103 (2012) 102 (2012) 101 (2011) 100 (2006) 99 (2006) 98 (2004) 97 (2001) 96 (2001/2011) 95 (2001) 94 (2000) 93 (1998) 92 (1998) 91 (1997) 90 (1997) 89 (1995) 88 (1994) 87 (1993) 86 (1993) 85 (1992) 84 (1992) 83 (1988) 82 (1985) 81 (1984) 80 (1984) 79 (1984) 78 (1983)
all top 5

### Authors / Editors

 6 Triebel, Hans 3 Nagasawa, Masao 2 Amann, Herbert 2 Arendt, Wolfgang 2 Arnol’d, Vladimir Igorevich 2 Batty, Charles J. K. 2 Brudnyi, Alexander 2 Brudnyi, Yuri A. 2 Gusein-Zade, Sabir M. 2 Hieber, Matthias 2 Neubrander, Frank 2 Prüß, Jan Wilhelm 2 Varchenko, Alexander Nikolaevich 2 Volpert, Vitaly A. 1 Behrndt, Jussi 1 Bruggeman, Roelof Wichert 1 de Snoo, Hendrik S. V. 1 Giga, Yoshikazu 1 Giusti, Enrico 1 Hassi, Seppo 1 Khenkin, Gennadiĭ Markovich 1 Leiterer, Jürgen 1 Palamodov, Victor Pavlovitch 1 Parthasarathy, Kalyanapuram Rangachari 1 Porteous, Hugh L. 1 Simonett, Gieri 1 Spring, David 1 Timmesfeld, Franz Georg 1 Tondeur, Philippe 1 Van Maldeghem, Hendrik J. 1 Zimmer, Robert J.
all top 5

### Fields

 12 Partial differential equations (35-XX) 11 Functional analysis (46-XX) 7 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 4,747 times in 4,389 Documents Cited by Year
Minimal surfaces and functions of bounded variation. Zbl 0545.49018
Giusti, Enrico
1984
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2001
Theory of function spaces II. Zbl 0763.46025
Triebel, Hans
1992
Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001
Amann, Herbert
1995
Ergodic theory and semisimple groups. Zbl 0571.58015
Zimmer, Robert J.
1984
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2011
Theory of function spaces. III. Zbl 1104.46001
Triebel, Hans
2006
An introduction to quantum stochastic calculus. Zbl 0751.60046
Parthasarathy, K. R.
1992
Evolutionary integral equations and applications. Zbl 0784.45006
Prüss, Jan
1993
Theory of function spaces. Zbl 0546.46027
Triebel, Hans
1983
Generalized polygons. Zbl 0914.51005
van Maldeghem, Hendrik
1998
Surface evolution equations. A level set approach. Zbl 1096.53039
Giga, Yoshikazu
2006
Moving interfaces and quasilinear parabolic evolution equations. Zbl 1435.35004
Prüss, Jan; Simonett, Gieri
2016
Geometry of foliations. Zbl 0905.53002
Tondeur, Philippe
1997
Fractals and spectra related to Fourier analysis and function spaces. Zbl 0898.46030
Triebel, Hans
1997
Singularities of differentiable maps. Volume I: The classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, ed. by V. I. Arnol’d. Zbl 0554.58001
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
1985
The structure of functions. Zbl 0984.46021
Triebel, Hans
2001
Elliptic partial differential equations. Volume 1: Fredholm theory of elliptic problems in unbounded domains. Zbl 1222.35002
Volpert, Vitaly
2011
Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. Zbl 0659.58002
Arnol’d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
1988
Abstract root subgroups and simple groups of Lie-type. Zbl 0984.20019
Timmesfeld, Franz Georg
2001
Elliptic partial differential equations. Volume 2: Reaction-diffusion equations. Zbl 1307.35004
Volpert, Vitaly
2014
Schrödinger equations and diffusion theory. Zbl 0780.60003
Nagasawa, Masao
1993
Boundary value problems, Weyl functions, and differential operators. Zbl 1457.47001
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk
2020
Reconstructive integral geometry. Zbl 1063.44002
Palamodov, Victor
2004
Methods of geometric analysis in extension and trace problems. Vol. 1. Zbl 1253.46001
Brudnyi, Alexander; Brudnyi, Yuri
2012
Theory of functions on complex manifolds. Licensed ed. Zbl 0573.32001
1984
Stochastic processes in quantum physics. Zbl 0998.81519
Nagasawa, Masao
2000
Convex integration theory. Solutions to the $$h$$-principle in geometry and topology. Zbl 0997.57500
Spring, David
1998
Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004
Amann, Herbert
2019
Methods of geometric analysis in extension and trace problems. Vol. 2. Zbl 1252.46001
Brudnyi, Alexander; Brudnyi, Yuri
2012
Families of automorphic forms. Zbl 0821.11029
Bruggeman, Roelof W.
1994
Theory of function spaces. IV. Zbl 1445.46002
Triebel, Hans
2020
Boundary value problems, Weyl functions, and differential operators. Zbl 1457.47001
Behrndt, Jussi; Hassi, Seppo; de Snoo, Henk
2020
Theory of function spaces. IV. Zbl 1445.46002
Triebel, Hans
2020
Linear and quasilinear parabolic problems. Volume II: Function spaces. Zbl 1448.46004
Amann, Herbert
2019
Moving interfaces and quasilinear parabolic evolution equations. Zbl 1435.35004
Prüss, Jan; Simonett, Gieri
2016
Elliptic partial differential equations. Volume 2: Reaction-diffusion equations. Zbl 1307.35004
Volpert, Vitaly
2014
Methods of geometric analysis in extension and trace problems. Vol. 1. Zbl 1253.46001
Brudnyi, Alexander; Brudnyi, Yuri
2012
Methods of geometric analysis in extension and trace problems. Vol. 2. Zbl 1252.46001
Brudnyi, Alexander; Brudnyi, Yuri
2012
Vector-valued Laplace transforms and Cauchy problems. 2nd ed. Zbl 1226.34002
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2011
Elliptic partial differential equations. Volume 1: Fredholm theory of elliptic problems in unbounded domains. Zbl 1222.35002
Volpert, Vitaly
2011
Theory of function spaces. III. Zbl 1104.46001
Triebel, Hans
2006
Surface evolution equations. A level set approach. Zbl 1096.53039
Giga, Yoshikazu
2006
Reconstructive integral geometry. Zbl 1063.44002
Palamodov, Victor
2004
Vector-valued Laplace transforms and Cauchy problems. Zbl 0978.34001
Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank
2001
The structure of functions. Zbl 0984.46021
Triebel, Hans
2001
Abstract root subgroups and simple groups of Lie-type. Zbl 0984.20019
Timmesfeld, Franz Georg
2001
Stochastic processes in quantum physics. Zbl 0998.81519
Nagasawa, Masao
2000
Generalized polygons. Zbl 0914.51005
van Maldeghem, Hendrik
1998
Convex integration theory. Solutions to the $$h$$-principle in geometry and topology. Zbl 0997.57500
Spring, David
1998
Geometry of foliations. Zbl 0905.53002
Tondeur, Philippe
1997
Fractals and spectra related to Fourier analysis and function spaces. Zbl 0898.46030
Triebel, Hans
1997
Linear and quasilinear parabolic problems. Vol. 1: Abstract linear theory. Zbl 0819.35001
Amann, Herbert
1995
Families of automorphic forms. Zbl 0821.11029
Bruggeman, Roelof W.
1994
Evolutionary integral equations and applications. Zbl 0784.45006
Prüss, Jan
1993
Schrödinger equations and diffusion theory. Zbl 0780.60003
Nagasawa, Masao
1993
Theory of function spaces II. Zbl 0763.46025
Triebel, Hans
1992
An introduction to quantum stochastic calculus. Zbl 0751.60046
Parthasarathy, K. R.
1992
Singularities of differentiable maps. Volume II: Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous. Zbl 0659.58002
Arnol&rsquo;d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
1988
Singularities of differentiable maps. Volume I: The classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, ed. by V. I. Arnol’d. Zbl 0554.58001
Arnol&rsquo;d, V. I.; Gusejn-Zade, S. M.; Varchenko, A. N.
1985
Minimal surfaces and functions of bounded variation. Zbl 0545.49018
Giusti, Enrico
1984
Ergodic theory and semisimple groups. Zbl 0571.58015
Zimmer, Robert J.
1984
Theory of functions on complex manifolds. Licensed ed. Zbl 0573.32001
1984
Theory of function spaces. Zbl 0546.46027
Triebel, Hans
1983
all top 5

### Cited by 4,474 Authors

 48 Yang, Dachun 46 Lizama, Carlos 43 Kostić, Marko 40 Giga, Yoshikazu 39 Van Maldeghem, Hendrik J. 36 Volpert, Vitaly A. 35 Prüß, Jan Wilhelm 29 Hieber, Matthias 29 Shakhmurov, Veli B. 29 Yuan, Wen 27 Sickel, Winfried 24 Fuchs, Martin 23 Miana, Pedro J. 22 Valdinoci, Enrico 21 Vougalter, Vitali 20 Bildhauer, Michael 20 Haroske, Dorothee D. 19 Lahti, Panu 19 Novaga, Matteo 19 Triebel, Hans 18 Skrzypczak, Leszek 18 Walker, Christoph 17 Arendt, Wolfgang 17 De Bruyn, Bart 17 Magal, Pierre 17 Veraar, Mark C. 17 Zimmer, Robert J. 16 Bellettini, Giovanni 16 Escher, Joachim 16 Mugnolo, Delio 16 Pilipović, Stevan 16 Tomilov, Yuri 15 Bobrowski, Adam 15 Bu, Shangquan 15 Henríquez, Hernán R. 15 Nguyen Van Minh 14 Batty, Charles J. K. 14 Lindsay, J. Martin 14 Matioc, Bogdan-Vasile 14 Petersen, Ian Richard 14 Sawano, Yoshihiro 14 Simonett, Gieri 13 Ambrosio, Luigi 13 Cobos, Fernando 13 Ezzinbi, Khalil 13 Fagnola, Franco 13 Gesztesy, Fritz 13 Meerschaert, Mark Marvin 13 Ponce, Rodrigo F. 13 Seifert, David 13 Warma, Mahamadi 12 Abadias, Luciano 12 Chambolle, Antonin 12 Denk, Robert 12 Kovács, Mihály 12 Li, Buyang 12 Rodríguez-Bernal, Aníbal 11 Abels, Helmut 11 Bekka, Mohammed el Bachir 11 Chill, Ralph 11 Dahlke, Stephan 11 Fëdorov, Vladimir Evgen’evich 11 Hussein, Amru 11 Keyantuo, Valentin 11 Kunisch, Karl 11 Li, Miao 11 Shibata, Yoshihiro 11 Thas, Joseph Adolphe 11 Timmesfeld, Franz Georg 11 Vybíral, Jan 10 Amann, Herbert 10 Bader, Uri 10 Baskakov, Anatoliĭ Grigor’evich 10 Bäumer, Boris 10 Caffarelli, Luis Ángel 10 Cai, Gang 10 Cuevas, Claudio 10 Dal Maso, Gianni 10 Drihem, Douadi 10 Fonseca, Irene 10 Garcke, Harald 10 Gough, John E. 10 Johnsen, Jon 10 Jung, Seoung Dal 10 Paunonen, Lassi 10 Schnaubelt, Roland 10 Ullrich, Tino 10 Wu, Jiahong 9 Agarwal, Ravi P. 9 Bothe, Dieter 9 Bownik, Marcin 9 Ducrot, Arnaud 9 Fan, Zhenbin 9 Galé, José E. 9 Hintermüller, Michael 9 Hudson, Robin Lyth 9 Li, Gang 9 Liu, Qing 9 N’Guérékata, Gaston Mandata 9 Nolasco de Carvalho, Alexandre ...and 4,374 more Authors
all top 5

### Cited in 530 Journals

 175 Journal of Mathematical Analysis and Applications 151 Journal of Differential Equations 113 Journal of Functional Analysis 100 Journal of Evolution Equations 95 Transactions of the American Mathematical Society 73 Calculus of Variations and Partial Differential Equations 72 Archive for Rational Mechanics and Analysis 70 Proceedings of the American Mathematical Society 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Semigroup Forum 48 Israel Journal of Mathematics 47 The Journal of Fourier Analysis and Applications 46 Communications in Mathematical Physics 45 Duke Mathematical Journal 45 Journal of Mathematical Sciences (New York) 42 Mathematische Annalen 41 The Journal of Geometric Analysis 39 Advances in Mathematics 39 Mathematische Zeitschrift 38 Annales de l’Institut Fourier 38 Inventiones Mathematicae 32 Annali di Matematica Pura ed Applicata. Serie Quarta 32 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 32 SIAM Journal on Mathematical Analysis 31 Journal of Algebra 31 Mathematische Nachrichten 30 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 30 Integral Equations and Operator Theory 30 Zeitschrift für Analysis und ihre Anwendungen 29 Acta Mathematica Sinica. English Series 28 Communications in Partial Differential Equations 27 Ergodic Theory and Dynamical Systems 26 Revista Matemática Complutense 25 Journal of Approximation Theory 24 Geometriae Dedicata 24 Journal of Integral Equations and Applications 24 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 24 Communications on Pure and Applied Analysis 23 Archiv der Mathematik 23 Journal of the American Mathematical Society 23 NoDEA. Nonlinear Differential Equations and Applications 23 Discrete and Continuous Dynamical Systems 21 Applicable Analysis 21 Journal of Mathematical Physics 21 Mathematical Methods in the Applied Sciences 21 Mathematical Notes 21 Applied Mathematics and Optimization 20 Journal d’Analyse Mathématique 20 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 20 Journal of Function Spaces and Applications 19 Journal of Combinatorial Theory. Series A 19 Numerische Mathematik 19 SIAM Journal on Control and Optimization 19 Abstract and Applied Analysis 18 Mathematics of Computation 18 Revista Matemática Iberoamericana 18 Geometric and Functional Analysis. GAFA 18 Discrete and Continuous Dynamical Systems. Series S 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 The Annals of Statistics 17 Annals of Global Analysis and Geometry 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 17 Stochastic Processes and their Applications 17 Journal of Mathematical Fluid Mechanics 16 Discrete Mathematics 15 Computers & Mathematics with Applications 15 Results in Mathematics 15 Journal of Mathematical Imaging and Vision 15 Fractional Calculus & Applied Analysis 15 Annals of Mathematics. Second Series 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 Science China. Mathematics 14 Reports on Mathematical Physics 14 Ukrainian Mathematical Journal 14 Journal of Geometry and Physics 14 Acta Applicandae Mathematicae 14 Probability Theory and Related Fields 14 Potential Analysis 14 Mediterranean Journal of Mathematics 14 Advances in Difference Equations 14 Evolution Equations and Control Theory 13 Communications on Pure and Applied Mathematics 13 Journal of Statistical Physics 13 The Annals of Probability 13 Czechoslovak Mathematical Journal 13 Journal of Complexity 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Applied and Computational Harmonic Analysis 13 Complex Analysis and Operator Theory 13 Journal of Elliptic and Parabolic Equations 12 Manuscripta Mathematica 12 Numerical Functional Analysis and Optimization 12 Constructive Approximation 12 St. Petersburg Mathematical Journal 12 Discrete and Continuous Dynamical Systems. Series B 12 SIAM Journal on Imaging Sciences 11 Studia Mathematica 11 Chaos, Solitons and Fractals 11 Indiana University Mathematics Journal 11 Journal für die Reine und Angewandte Mathematik ...and 430 more Journals
all top 5

### Cited in 63 Fields

 1,594 Partial differential equations (35-XX) 861 Operator theory (47-XX) 693 Functional analysis (46-XX) 462 Calculus of variations and optimal control; optimization (49-XX) 398 Differential geometry (53-XX) 371 Ordinary differential equations (34-XX) 349 Harmonic analysis on Euclidean spaces (42-XX) 346 Probability theory and stochastic processes (60-XX) 288 Fluid mechanics (76-XX) 268 Dynamical systems and ergodic theory (37-XX) 261 Numerical analysis (65-XX) 231 Quantum theory (81-XX) 222 Topological groups, Lie groups (22-XX) 208 Real functions (26-XX) 193 Global analysis, analysis on manifolds (58-XX) 175 Group theory and generalizations (20-XX) 158 Measure and integration (28-XX) 158 Integral equations (45-XX) 144 Geometry (51-XX) 132 Manifolds and cell complexes (57-XX) 131 Biology and other natural sciences (92-XX) 130 Mechanics of deformable solids (74-XX) 123 Systems theory; control (93-XX) 98 Information and communication theory, circuits (94-XX) 91 Abstract harmonic analysis (43-XX) 90 Approximations and expansions (41-XX) 90 Statistical mechanics, structure of matter (82-XX) 88 Functions of a complex variable (30-XX) 86 Several complex variables and analytic spaces (32-XX) 72 Statistics (62-XX) 72 Computer science (68-XX) 71 Combinatorics (05-XX) 68 Algebraic geometry (14-XX) 62 Integral transforms, operational calculus (44-XX) 51 Potential theory (31-XX) 50 Number theory (11-XX) 32 Classical thermodynamics, heat transfer (80-XX) 32 Operations research, mathematical programming (90-XX) 31 General topology (54-XX) 29 Mathematical logic and foundations (03-XX) 29 Optics, electromagnetic theory (78-XX) 26 Difference and functional equations (39-XX) 23 Nonassociative rings and algebras (17-XX) 23 Geophysics (86-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Convex and discrete geometry (52-XX) 17 Sequences, series, summability (40-XX) 15 Special functions (33-XX) 15 Relativity and gravitational theory (83-XX) 10 Associative rings and algebras (16-XX) 10 Mechanics of particles and systems (70-XX) 9 Algebraic topology (55-XX) 7 History and biography (01-XX) 7 Category theory; homological algebra (18-XX) 6 Commutative algebra (13-XX) 4 General and overarching topics; collections (00-XX) 4 $$K$$-theory (19-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX)