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## Kannai, Yakar

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 Author ID: kannai.yakar Published as: Kannai, Yakar; Kannai, Y.
 Documents Indexed: 62 Publications since 1963
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#### Co-Authors

 34 single-authored 5 Beals, Richard W. 4 Greiner, Peter C. 4 Horowitz, Isaac M. 4 Kelemen, Matei 2 Gaveau, Bernard 2 Peleg, Bezalel 2 Raimondo, Roberto C. 2 Selden, Larry 1 Agmon, Shmuel 1 Apartsin, Yevgenia 1 Baruch, Shmuel 1 Calin, Ovidiu L. 1 Chang, Der-Chen E. 1 Helffer, Bernard 1 Holcman, David 1 Hurwicz, Leonid 1 Jordan, James S. 1 Kang, Minwook 1 Rosenmüller, Joachim 1 Tannenbaum, Emmanuel 1 Wei, Xiao 1 Weiss, George 1 Wooders, Myrna Holtz
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#### Serials

 9 Journal of Mathematical Economics 6 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Econometrica 2 International Journal of Control 2 Journal of Economic Theory 2 Communications in Partial Differential Equations 2 Economic Theory 2 Bulletin des Sciences Mathématiques 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Duke Mathematical Journal 1 IEEE Transactions on Automatic Control 1 International Journal of Game Theory 1 Journal of Differential Equations 1 Mathematics of Operations Research 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Adaptive Control and Signal Processing 1 Games and Economic Behavior 1 SIAM Journal on Applied Mathematics 1 Abstract and Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Cubo Matemática Educacional 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
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#### Fields

 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Partial differential equations (35-XX) 6 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 3 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 510 times in 443 Documents Cited by Year
Continuity properties of the core of a market. Zbl 0222.90004
Kannai, Yakar
1970
A note on the extension of an order on a set to the power set. Zbl 0533.90005
Kannai, Yakar; Peleg, Bezalel
1984
Concavifiability and constructions of concave utility functions. Zbl 0361.90008
Kannai, Yakar
1977
On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators. Zbl 0148.13003
Agmon, S.; Kannai, Y.
1967
Off diagonal short time asymptotics for fundamental solutions of of diffusion equations. Zbl 0381.35039
Kannai, Y.
1978
Countably additive measures in cores of games. Zbl 0181.46902
Kannai, Y.
1969
The core and balancedness. Zbl 0968.91503
Kannai, Yakar
1992
Existence of a utility in infinite dimensional partially ordered spaces. Zbl 0152.38404
Kannai, Y.
1963
An unsolvable hypoelliptic differential operator. Zbl 0211.40601
Kannai, Y.
1971
Approximation of convex preferences. Zbl 0288.90011
Kannai, Yakar
1974
Wave kernels related to second-order operators. Zbl 1072.35130
Greiner, Peter C.; Holcman, David; Kannai, Yakar
2002
The ALEP definition of complementarity and least concave utility functions. Zbl 0433.90006
Kannai, Yakar
1980
On the asymptotic behavior of resolvent kernels, spectral functions and eigenvalues of semi-elliptic systems. Zbl 0193.07301
Kannai, Y.
1969
Values of games with a continuum of prayers. Zbl 0151.25401
Kannai, Yakar
1966
Causality and stability of linear systems described by partial differential operators. Zbl 0492.93053
Kannai, Yakar
1982
Non-standard concave utility functions. Zbl 0813.90004
Kannai, Yakar
1992
A further extension of the KKMS theorem. Zbl 1073.91511
Kannai, Yakar; Wooders, Myrna H.
2000
A characterization of monotone individual demand functions. Zbl 0674.90005
Kannai, Yakar
1989
On the geometry induced by a Grusin operator. Zbl 1096.53019
Calin, Ovidiu; Chang, Der-Chen; Greiner, Peter; Kannai, Yakar
2005
Continuity properties of the core of a market: a correction. Zbl 0265.90002
Kannai, Yakar
1972
Transversally elliptic operators. Zbl 1125.35302
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
2004
Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
1999
On the demand generated by a smooth and concavifiable preference ordering. Zbl 0639.90006
Hurwicz, Leonid; Jordan, James; Kannai, Yakar
1987
Exact propagators for some degenerate hyperbolic operators. Zbl 1171.35438
Beals, Richard; Kannai, Yakar
2006
Violation of the law of demand. Zbl 1285.91074
Kannai, Yakar; Selden, Larry
2014
Concave utility functions - existence, constructions and cardinality. Zbl 0534.90008
Kannai, Yakar
1981
Hypoelliptic ordinary differential operators. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces I. Zbl 0256.35021
Kannai, Yakar
1973
Determining factors and hypoellipticity of ordinary differential operators with double ”characteristics”. Zbl 0272.34006
Helffer, Bernard; Kannai, Yakar
1973
Hypoellipticity of certain degenerate elliptic boundary value problems. Zbl 0318.35016
Kannai, Yakar
1976
Exact solutions and branching of singularities for some hyperbolic equations in two variables. Zbl 1172.35304
Beals, Richard; Kannai, Yakar
2009
The method of ascent and $$\cos(\sqrt{A^2+B^2})$$. Zbl 0967.35007
Kannai, Yakar
2000
An elementary proof of the no-retraction theorem. Zbl 0598.26027
Kannai, Yakar
1981
On closed coverings of simplexes. Zbl 0206.52303
Kannai, Y.
1970
Quasi-analytic solutions of linear parabolic equations. Zbl 1307.35135
Kannai, Yakar; Raimondo, Roberto C.
2013
Strategic behavior in financial markets. Zbl 1200.91307
Kannai, Yakar; Rosenmüller, Joachim
2010
Non-convexifiable Pareto sets. Zbl 0382.90014
Kannai, Yakar; Mantel, Rolf
1978
Remarks concerning concave utility functions on finite sets. Zbl 1085.91018
Kannai, Yakar
2005
A hyperbolic approach to elliptic and parabolic singular perturbation problems. Zbl 0802.35005
Kannai, Yakar
1992
Engel curves, marginal utility of income, and concavifiable preferences. Zbl 0647.90010
Kannai, Yakar
1986
One-point feedback approach to distributed linear systems. Zbl 0675.93044
Kelemen, Matei; Kannai, Yakar; Horowitz, Isaac
1989
Improved method for designing linear distributed feedback systems. Zbl 0727.93066
Kelemen, M.; Kannai, Y.; Horowitz, I.
1990
Inverse Laplace transforms of products of Whittaker functions. Zbl 1142.44001
Beals, Richard; Kannai, Yakar
2008
Paths leading to the Nash set for nonsmooth games. Zbl 1058.91503
Kannai, Yakar; Tannenbaum, Emmanuel
1998
Spatial discretization and approximation of distributed feedback loops and inputs. Zbl 0786.93033
Kannai, Yakar; Kelemen, Matei; Horowitz, Isaac
1993
Approximating signals by fast impulse sampling. Zbl 0786.93069
Kannai, Yakar; Weiss, George
1993
Inferior goods, Giffen goods, and Shochu. Zbl 1064.91516
Baruch, Shmuel; Kannai, Yakar
2001
When is individual demand concavifiable? Zbl 1059.91057
Kannai, Yakar
2004
The initial value problem for a degenerate wave equation. Zbl 0675.35061
Kannai, Y.; Kiro, S.
1988
Arbitrarily low sensitivity (ALS) in linear distributed systems using pointwise linear feedback. Zbl 0724.93024
Kelemen, Matei; Kannai, Yakar; Horowitz, Isaac
1990
Nonexistence for a boundary value problem arising in parabolic theory. Zbl 0727.35001
Kannai, Yakar
1990
Violation of the law of demand. Zbl 1285.91074
Kannai, Yakar; Selden, Larry
2014
Quasi-analytic solutions of linear parabolic equations. Zbl 1307.35135
Kannai, Yakar; Raimondo, Roberto C.
2013
Strategic behavior in financial markets. Zbl 1200.91307
Kannai, Yakar; Rosenmüller, Joachim
2010
Exact solutions and branching of singularities for some hyperbolic equations in two variables. Zbl 1172.35304
Beals, Richard; Kannai, Yakar
2009
Inverse Laplace transforms of products of Whittaker functions. Zbl 1142.44001
Beals, Richard; Kannai, Yakar
2008
Exact propagators for some degenerate hyperbolic operators. Zbl 1171.35438
Beals, Richard; Kannai, Yakar
2006
On the geometry induced by a Grusin operator. Zbl 1096.53019
Calin, Ovidiu; Chang, Der-Chen; Greiner, Peter; Kannai, Yakar
2005
Remarks concerning concave utility functions on finite sets. Zbl 1085.91018
Kannai, Yakar
2005
Transversally elliptic operators. Zbl 1125.35302
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
2004
When is individual demand concavifiable? Zbl 1059.91057
Kannai, Yakar
2004
Wave kernels related to second-order operators. Zbl 1072.35130
Greiner, Peter C.; Holcman, David; Kannai, Yakar
2002
Inferior goods, Giffen goods, and Shochu. Zbl 1064.91516
Baruch, Shmuel; Kannai, Yakar
2001
A further extension of the KKMS theorem. Zbl 1073.91511
Kannai, Yakar; Wooders, Myrna H.
2000
The method of ascent and $$\cos(\sqrt{A^2+B^2})$$. Zbl 0967.35007
Kannai, Yakar
2000
Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
1999
Paths leading to the Nash set for nonsmooth games. Zbl 1058.91503
Kannai, Yakar; Tannenbaum, Emmanuel
1998
Spatial discretization and approximation of distributed feedback loops and inputs. Zbl 0786.93033
Kannai, Yakar; Kelemen, Matei; Horowitz, Isaac
1993
Approximating signals by fast impulse sampling. Zbl 0786.93069
Kannai, Yakar; Weiss, George
1993
The core and balancedness. Zbl 0968.91503
Kannai, Yakar
1992
Non-standard concave utility functions. Zbl 0813.90004
Kannai, Yakar
1992
A hyperbolic approach to elliptic and parabolic singular perturbation problems. Zbl 0802.35005
Kannai, Yakar
1992
Improved method for designing linear distributed feedback systems. Zbl 0727.93066
Kelemen, M.; Kannai, Y.; Horowitz, I.
1990
Arbitrarily low sensitivity (ALS) in linear distributed systems using pointwise linear feedback. Zbl 0724.93024
Kelemen, Matei; Kannai, Yakar; Horowitz, Isaac
1990
Nonexistence for a boundary value problem arising in parabolic theory. Zbl 0727.35001
Kannai, Yakar
1990
A characterization of monotone individual demand functions. Zbl 0674.90005
Kannai, Yakar
1989
One-point feedback approach to distributed linear systems. Zbl 0675.93044
Kelemen, Matei; Kannai, Yakar; Horowitz, Isaac
1989
The initial value problem for a degenerate wave equation. Zbl 0675.35061
Kannai, Y.; Kiro, S.
1988
On the demand generated by a smooth and concavifiable preference ordering. Zbl 0639.90006
Hurwicz, Leonid; Jordan, James; Kannai, Yakar
1987
Engel curves, marginal utility of income, and concavifiable preferences. Zbl 0647.90010
Kannai, Yakar
1986
A note on the extension of an order on a set to the power set. Zbl 0533.90005
Kannai, Yakar; Peleg, Bezalel
1984
Causality and stability of linear systems described by partial differential operators. Zbl 0492.93053
Kannai, Yakar
1982
Concave utility functions - existence, constructions and cardinality. Zbl 0534.90008
Kannai, Yakar
1981
An elementary proof of the no-retraction theorem. Zbl 0598.26027
Kannai, Yakar
1981
The ALEP definition of complementarity and least concave utility functions. Zbl 0433.90006
Kannai, Yakar
1980
Off diagonal short time asymptotics for fundamental solutions of of diffusion equations. Zbl 0381.35039
Kannai, Y.
1978
Non-convexifiable Pareto sets. Zbl 0382.90014
Kannai, Yakar; Mantel, Rolf
1978
Concavifiability and constructions of concave utility functions. Zbl 0361.90008
Kannai, Yakar
1977
Hypoellipticity of certain degenerate elliptic boundary value problems. Zbl 0318.35016
Kannai, Yakar
1976
Approximation of convex preferences. Zbl 0288.90011
Kannai, Yakar
1974
Hypoelliptic ordinary differential operators. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces I. Zbl 0256.35021
Kannai, Yakar
1973
Determining factors and hypoellipticity of ordinary differential operators with double ”characteristics”. Zbl 0272.34006
Helffer, Bernard; Kannai, Yakar
1973
Continuity properties of the core of a market: a correction. Zbl 0265.90002
Kannai, Yakar
1972
An unsolvable hypoelliptic differential operator. Zbl 0211.40601
Kannai, Y.
1971
Continuity properties of the core of a market. Zbl 0222.90004
Kannai, Yakar
1970
On closed coverings of simplexes. Zbl 0206.52303
Kannai, Y.
1970
Countably additive measures in cores of games. Zbl 0181.46902
Kannai, Y.
1969
On the asymptotic behavior of resolvent kernels, spectral functions and eigenvalues of semi-elliptic systems. Zbl 0193.07301
Kannai, Y.
1969
On the asymptotic behavior of spectral functions and resolvent kernels of elliptic operators. Zbl 0148.13003
Agmon, S.; Kannai, Y.
1967
Values of games with a continuum of prayers. Zbl 0151.25401
Kannai, Yakar
1966
Existence of a utility in infinite dimensional partially ordered spaces. Zbl 0152.38404
Kannai, Y.
1963
all top 5

#### Cited by 549 Authors

 24 Kannai, Yakar 9 Wooders, Myrna Holtz 7 Beals, Richard W. 6 Bossert, Walter 6 Fishburn, Peter Clingerman 6 Horowitz, Isaac M. 6 Le Breton, Michel 5 Federico, Serena 5 Peters, Hans J. M. 5 Tijs, Stef H. 4 Billera, Louis J. 4 Einy, Ezra 4 Greiner, Peter C. 4 Ichiishi, Tatsuro 4 Induráin, Esteban 4 Sanver, M. Remzi 4 Shitovitz, Benyamin 3 Ballester, Miguel Ángel 3 Candeal, Juan Carlos 3 Chang, Der-Chen E. 3 Chateauneuf, Alain 3 Delgado, Julio 3 Evstigneev, Igor V. 3 Gaveau, Bernard 3 Gómez, Juan Camilo 3 Hart, Sergiu 3 Hosoya, Yuhki 3 Kelemen, Matei 3 Khan, Mohammed Ali 3 Kindler, Jürgen 3 Kohlberg, Elon 3 Lewis, Alain A. 3 Pattanaik, Prasanta K. 3 Polterovich, Iosif 3 Reny, Philip J. 3 Roberto, Lucchetti E. 3 Sun, Yeneng 3 Taksar, Michael I. 3 Tsutsumi, Akira 3 Weber, Shlomo 2 Allen, Beth 2 Amano, Kazuo 2 Arlegi, Ricardo 2 Arnaudon, Marc 2 Askoura, Youcef 2 Aumann, Robert John 2 Azor, Ruth 2 Back, Kerry E. 2 Baigent, Nick 2 Barberà, Salvador 2 Bejan, Camelia 2 Birman, Mikhail Shlëmovich 2 Brüning, Jochen 2 Bryant, William D. A. 2 Calin, Ovidiu L. 2 Calleja, Pedro 2 Campión, María Jesús 2 de Miguel, Juan Ramón 2 Driesen, Bram 2 Dubey, Pradeep K. 2 Eguia, Jon X. 2 Eskin, Gregory 2 Evren, Özgür 2 Franchi, Bruno 2 Franks, Edwin 2 Fuchs-Seliger, Susanne 2 Giarlotta, Alfio 2 Girotto, Bruno 2 Gonzalez, Stéphane 2 Grabisch, Michel 2 Greco, Salvatore 2 Grodal, Birgit 2 Grubb, Gerd 2 Hamel, Andreas H. 2 Hildenbrand, Werner 2 Holzer, Silvano 2 Klee, Victor LaRue 2 Kurz, Mordecai 2 LaValle, Irving H. 2 Li, Yutian 2 Loya, Paul A. 2 Maccheroni, Fabio 2 Marinacci, Massimo 2 Mas-Colell, Andreu 2 Miyake, Masatake 2 Momi, Takeshi 2 Moretti, Stefano 2 Neyman, Abraham 2 Nitzan, Shmuel I. 2 Ok, Efe A. 2 Özyurt, Selçuk 2 Patrone, Fioravante 2 Rafels, Carles 2 Redekop, James 2 Ryan, Matthew J. 2 Selden, Larry 2 Sertel, Murat R. 2 Takahashi, Wataru 2 Thalmaier, Anton 2 Vantaggi, Barbara ...and 449 more Authors
all top 5

#### Cited in 113 Serials

 67 Journal of Mathematical Economics 49 Journal of Economic Theory 22 Mathematical Social Sciences 22 Social Choice and Welfare 14 Journal of Mathematical Analysis and Applications 13 Games and Economic Behavior 12 Journal of Differential Equations 11 International Journal of Game Theory 10 Journal of Functional Analysis 10 Theory and Decision 10 Economics Letters 9 Economic Theory 8 Journal d’Analyse Mathématique 7 Israel Journal of Mathematics 7 Communications in Partial Differential Equations 5 International Journal of Control 5 Transactions of the American Mathematical Society 5 European Journal of Operational Research 5 Journal of Pseudo-Differential Operators and Applications 4 Journal of Soviet Mathematics 4 Manuscripta Mathematica 4 Mathematical Programming 4 Proceedings of the Japan Academy 3 Journal of Mathematical Physics 3 Archiv der Mathematik 3 Functional Analysis and its Applications 3 Journal of Econometrics 3 Topology and its Applications 3 Bulletin des Sciences Mathématiques 2 Archive for Rational Mechanics and Analysis 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Acta Mathematica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Annals of Statistics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Automatica 2 Duke Mathematical Journal 2 Information Sciences 2 Journal of Mathematical Psychology 2 Journal of Optimization Theory and Applications 2 Mathematische Zeitschrift 2 Tohoku Mathematical Journal. Second Series 2 Order 2 Journal of Economics 2 MCSS. Mathematics of Control, Signals, and Systems 2 Annals of Operations Research 2 The Journal of Geometric Analysis 2 International Journal of Robust and Nonlinear Control 2 International Game Theory Review 2 Scandinavian Actuarial Journal 2 Decisions in Economics and Finance 2 Milan Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Algebra Universalis 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematical Systems Theory 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 OR Spektrum 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 International Journal of Approximate Reasoning 1 Journal of Economic Dynamics & Control 1 Computational Mathematics and Modeling 1 Historia Mathematica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Cybernetics and Systems Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Journal of Applied Non-Classical Logics 1 Journal of Mathematical Sciences (New York) 1 Top 1 The Journal of Fourier Analysis and Applications 1 Finance and Stochastics 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of Interdisciplinary Mathematics 1 Natural Resource Modeling 1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems ...and 13 more Serials
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#### Cited in 44 Fields

 271 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 103 Partial differential equations (35-XX) 28 Operator theory (47-XX) 26 Global analysis, analysis on manifolds (58-XX) 24 Operations research, mathematical programming (90-XX) 19 Systems theory; control (93-XX) 13 Functional analysis (46-XX) 13 General topology (54-XX) 12 Probability theory and stochastic processes (60-XX) 11 Mathematical logic and foundations (03-XX) 11 Real functions (26-XX) 11 Statistics (62-XX) 10 Measure and integration (28-XX) 10 Differential geometry (53-XX) 10 Quantum theory (81-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 7 Convex and discrete geometry (52-XX) 6 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 5 Combinatorics (05-XX) 4 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)