## Forti, Gian Luigi

Compute Distance To:
 Author ID: forti.gian-luigi Published as: Forti, Gian Luigi; Forti, G. L.; Forti, Gian-Luigi; Forti, Gian L.; Forti, G.-L.; Forti, G. more...less
 Documents Indexed: 63 Publications since 1977 2 Contributions as Editor Reviewing Activity: 237 Reviews Co-Authors: 19 Co-Authors with 40 Joint Publications 332 Co-Co-Authors
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### Co-Authors

 25 single-authored 21 Paganoni, Luigi 7 Borelli, Costanza 4 Smítal, Jaroslav 3 Basios, Vasileios 3 Shalfeev, Vladimir D. 2 Gilbert, Thomas 2 Gronau, Detlef 2 Nicolis, Gregoire 1 Baron, Karol 1 Fenyö, Istvan S. 1 García Cantú Ros, A. 1 Gardini, Laura 1 Ivanchenko, Mikhail V. 1 Kanakov, Oleg I. 1 Kuznetsov, Alexey S. 1 Reich, Ludwig 1 Schwaiger, Jens 1 Shulman, Ekaterina V. 1 Sikorska, Justyna
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### Serials

 16 Aequationes Mathematicae 3 Stochastica 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Grazer Mathematische Berichte 2 Bulletin of the Australian Mathematical Society 2 Journal of Mathematical Analysis and Applications 2 Publicationes Mathematicae Debrecen 2 Results in Mathematics 2 Comptes Rendus Mathématiques de l’Académie des Sciences 2 Mathematica Pannonica 2 Bollettino della Unione Matemàtica Italiana. Serie VI. B 2 Bollettino della Unione Matematica Italiana. Series V. A 2 Journal of Physics A: Mathematical and Theoretical 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 International Journal of Mathematics and Mathematical Sciences 1 Le Matematiche 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Rendiconti del Seminario Matematico 1 Topology and its Applications 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 Chaos 1 Communications in Nonlinear Science and Numerical Simulation 1 Annales Mathematicae Silesianae 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A
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### Fields

 50 Difference and functional equations (39-XX) 16 Dynamical systems and ergodic theory (37-XX) 6 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 General topology (54-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 626 times in 453 Documents Cited by Year
Hyers-Ulam stability of functional equations in several variables. Zbl 0836.39007
Forti, Gian Luigi
1995
Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations. Zbl 1052.39031
Forti, Gian-Luigi
2004
On a general Hyers-Ulam stability result. Zbl 0826.39009
Borelli, Costanza; Forti, Gian Luigi
1995
The stability of homomorphisms and amenability, with applications to functional equations. Zbl 0619.39012
Forti, G. L.
1987
Dynamics of homeomorphisms on minimal sets generated by triangular mappings. Zbl 0976.54043
Forti, Gian Luigi; Paganoni, Luigi; Smítal, Jaroslav
1999
An existence and stability theorem for a class of functional equations. Zbl 0442.39005
Forti, Gian Luigi
1980
Elementary remarks on Ulam-Hyers stability of linear functional equations. Zbl 1111.39026
Forti, Gian-Luigi
2007
Strange triangular maps of the square. Zbl 0832.54033
Forti, G. L.; Paganoni, L.; Smítal, J.
1995
Stability of homomorphisms and completeness. Zbl 0697.39013
Forti, Gian Luigi; Schwaiger, Jens
1989
Various notions of chaos for discrete dynamical systems. A brief survey. Zbl 1080.37010
Forti, Gian Luigi
2005
Variations on the Drygas equation and its stability. Zbl 1201.39023
Forti, Gian-Luigi; Sikorska, Justyna
2011
On an alternative functional equation related to the Cauchy equation. Zbl 0517.39007
Forti, Gian Luigi
1982
On the inhomogeneous Cauchy functional equation. Zbl 0492.39002
Fenyö, Istvan; Forti, Gian Luigi
1981
Triangular maps with all periods and no infinite $$\omega$$-limit set containing periodic points. Zbl 1176.37010
Forti, G.-L.; Paganoni, L.; Smítal, J.
2005
A method for solving a conditional Cauchy equation on Abelian groups. Zbl 0494.39005
Forti, Gian Luigi; Paganoni, Luigi
1981
Orthogonality and additivity modulo $$\mathbb{Z}$$. Zbl 0828.39010
Baron, Karol; Forti, Gian Luigi
1994
The general solution of a functional equation in two variables. Zbl 0593.39007
Forti, Gian Luigi
1985
La soluzione generale dell’equazione funzionale $$\{cf(x+y) - af(x) - bf(y) - d\} \{f(x+y) - f(x) - f(y)\}=0$$. Zbl 0493.39003
Forti, Gian Luigi
1979
On some conditional Cauchy equations on thin sets. Zbl 0509.39010
Forti, Gian Luigi
1983
Stability of quadratic and Drygas functional equations, with an application for solving an alternative quadratic equation. Zbl 1311.39044
Forti, Gian Luigi
2014
$$\Omega$$-additive functions on topological groups. Zbl 0741.39012
Forti, Gian Luigi; Paganoni, Luigi
1991
A system of functional equations related to plurality functions. A method for the construction of the solutions. Zbl 0861.39021
Forti, Gian Luigi; Paganoni, Luigi
1996
On an alternative Cauchy equation in two unknown functions. Some classes of solutions. Zbl 0739.39009
Forti, Gian Luigi; Paganoni, Luigi
1991
On some properties of triangular maps. Zbl 0965.37036
Forti, Gian Luigi; Paganoni, Luigi
1999
Symbolic dynamics generated by a combination of graphs. Zbl 1165.37302
Basios, Vasileios; Forti, Gian-Luigi; Nicolis, Gregoire
2008
On an alternative functional equation in $$\mathbb{R}^ n$$. Zbl 0877.39019
Borelli-Forti, Costanza; Forti, Gian Luigi
1994
Conitnuous increasing weakly bisymmetric groupoids and quasi-groups in $${\mathbb R}$$. Zbl 0880.39017
Forti, G. L.
1997
Description of the solutions of a system of functional equations related to plurality functions: The low-dimensional cases. Zbl 0876.39009
Forti, Gian Luigi; Paganoni, Luigi
1995
Stability of functional equations and properties of groups. Zbl 1425.39016
Forti, Gian Luigi
2019
On the stability of homomorphisms and their applications to functional equations. Zbl 0712.39024
Forti, Gian Luigi
1988
A comparison among methods for proving stability. Zbl 1440.39019
Forti, Gian Luigi; Shulman, Ekaterina
2020
Redundancy conditions for the functional equation $$f(x+h(x))=f(x)+f(h(x))$$. Zbl 0561.39003
Forti, G. L.
1984
Local solutions of an alternative Cauchy equation. Zbl 0827.39007
Forti, Gian Luigi; Paganoni, Luigi
1994
Network representation of dynamical systems: connectivity patterns, information and predictability. Zbl 1277.37109
García Cantú Ros, A.; Forti, G.; Nicolis, G.
2013
A note on an alternative quadratic equation. Zbl 1289.39055
Forti, Gian Luigi
2013
On the structure of semigroups occurring in the representation of the solutions of a functional equation. Zbl 0502.39008
Borelli Forti, Costanza; Forti, Gian Luigi
1981
Statistical properties of time-reversible triangular maps of the square. Zbl 1185.37102
Basios, Vasileios; Forti, Gian Luigi; Gilbert, Thomas
2009
Stationary patterns in CNN-like ensembles with modified cell output functions. Zbl 1192.37030
Kanakov, Oleg I.; Shalfeev, Vladimir D.; Forti, Gian Luigi
2006
Bibliography: Works on functional equations and inequalities in several variables. XXI. Zbl 1210.00021
Forti, Gian-Luigi; Paganoni, Luigi
2007
Bibliography: Works on functional and inequalities in several variables. XVII. Zbl 0784.39001
Paganoni, L.; Forti, G. L.
1993
On a class of functions of the interval with zero topological entropy. Zbl 1215.26005
Forti, Gian Luigi; Paganoni, Luigi
2010
A distributionally chaotic triangular map with zero sequence topological entropy. Zbl 0913.58015
Forti, G. L.; Paganoni, L.
1998
A comparison among methods for proving stability. Zbl 1440.39019
Forti, Gian Luigi; Shulman, Ekaterina
2020
Stability of functional equations and properties of groups. Zbl 1425.39016
Forti, Gian Luigi
2019
Stability of quadratic and Drygas functional equations, with an application for solving an alternative quadratic equation. Zbl 1311.39044
Forti, Gian Luigi
2014
Network representation of dynamical systems: connectivity patterns, information and predictability. Zbl 1277.37109
García Cantú Ros, A.; Forti, G.; Nicolis, G.
2013
A note on an alternative quadratic equation. Zbl 1289.39055
Forti, Gian Luigi
2013
Variations on the Drygas equation and its stability. Zbl 1201.39023
Forti, Gian-Luigi; Sikorska, Justyna
2011
On a class of functions of the interval with zero topological entropy. Zbl 1215.26005
Forti, Gian Luigi; Paganoni, Luigi
2010
Statistical properties of time-reversible triangular maps of the square. Zbl 1185.37102
Basios, Vasileios; Forti, Gian Luigi; Gilbert, Thomas
2009
Symbolic dynamics generated by a combination of graphs. Zbl 1165.37302
Basios, Vasileios; Forti, Gian-Luigi; Nicolis, Gregoire
2008
Elementary remarks on Ulam-Hyers stability of linear functional equations. Zbl 1111.39026
Forti, Gian-Luigi
2007
Bibliography: Works on functional equations and inequalities in several variables. XXI. Zbl 1210.00021
Forti, Gian-Luigi; Paganoni, Luigi
2007
Stationary patterns in CNN-like ensembles with modified cell output functions. Zbl 1192.37030
Kanakov, Oleg I.; Shalfeev, Vladimir D.; Forti, Gian Luigi
2006
Various notions of chaos for discrete dynamical systems. A brief survey. Zbl 1080.37010
Forti, Gian Luigi
2005
Triangular maps with all periods and no infinite $$\omega$$-limit set containing periodic points. Zbl 1176.37010
Forti, G.-L.; Paganoni, L.; Smítal, J.
2005
Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations. Zbl 1052.39031
Forti, Gian-Luigi
2004
Dynamics of homeomorphisms on minimal sets generated by triangular mappings. Zbl 0976.54043
Forti, Gian Luigi; Paganoni, Luigi; Smítal, Jaroslav
1999
On some properties of triangular maps. Zbl 0965.37036
Forti, Gian Luigi; Paganoni, Luigi
1999
A distributionally chaotic triangular map with zero sequence topological entropy. Zbl 0913.58015
Forti, G. L.; Paganoni, L.
1998
Conitnuous increasing weakly bisymmetric groupoids and quasi-groups in $${\mathbb R}$$. Zbl 0880.39017
Forti, G. L.
1997
A system of functional equations related to plurality functions. A method for the construction of the solutions. Zbl 0861.39021
Forti, Gian Luigi; Paganoni, Luigi
1996
Hyers-Ulam stability of functional equations in several variables. Zbl 0836.39007
Forti, Gian Luigi
1995
On a general Hyers-Ulam stability result. Zbl 0826.39009
Borelli, Costanza; Forti, Gian Luigi
1995
Strange triangular maps of the square. Zbl 0832.54033
Forti, G. L.; Paganoni, L.; Smítal, J.
1995
Description of the solutions of a system of functional equations related to plurality functions: The low-dimensional cases. Zbl 0876.39009
Forti, Gian Luigi; Paganoni, Luigi
1995
Orthogonality and additivity modulo $$\mathbb{Z}$$. Zbl 0828.39010
Baron, Karol; Forti, Gian Luigi
1994
On an alternative functional equation in $$\mathbb{R}^ n$$. Zbl 0877.39019
Borelli-Forti, Costanza; Forti, Gian Luigi
1994
Local solutions of an alternative Cauchy equation. Zbl 0827.39007
Forti, Gian Luigi; Paganoni, Luigi
1994
Bibliography: Works on functional and inequalities in several variables. XVII. Zbl 0784.39001
Paganoni, L.; Forti, G. L.
1993
$$\Omega$$-additive functions on topological groups. Zbl 0741.39012
Forti, Gian Luigi; Paganoni, Luigi
1991
On an alternative Cauchy equation in two unknown functions. Some classes of solutions. Zbl 0739.39009
Forti, Gian Luigi; Paganoni, Luigi
1991
Stability of homomorphisms and completeness. Zbl 0697.39013
Forti, Gian Luigi; Schwaiger, Jens
1989
On the stability of homomorphisms and their applications to functional equations. Zbl 0712.39024
Forti, Gian Luigi
1988
The stability of homomorphisms and amenability, with applications to functional equations. Zbl 0619.39012
Forti, G. L.
1987
The general solution of a functional equation in two variables. Zbl 0593.39007
Forti, Gian Luigi
1985
Redundancy conditions for the functional equation $$f(x+h(x))=f(x)+f(h(x))$$. Zbl 0561.39003
Forti, G. L.
1984
On some conditional Cauchy equations on thin sets. Zbl 0509.39010
Forti, Gian Luigi
1983
On an alternative functional equation related to the Cauchy equation. Zbl 0517.39007
Forti, Gian Luigi
1982
On the inhomogeneous Cauchy functional equation. Zbl 0492.39002
Fenyö, Istvan; Forti, Gian Luigi
1981
A method for solving a conditional Cauchy equation on Abelian groups. Zbl 0494.39005
Forti, Gian Luigi; Paganoni, Luigi
1981
On the structure of semigroups occurring in the representation of the solutions of a functional equation. Zbl 0502.39008
Borelli Forti, Costanza; Forti, Gian Luigi
1981
An existence and stability theorem for a class of functional equations. Zbl 0442.39005
Forti, Gian Luigi
1980
La soluzione generale dell’equazione funzionale $$\{cf(x+y) - af(x) - bf(y) - d\} \{f(x+y) - f(x) - f(y)\}=0$$. Zbl 0493.39003
Forti, Gian Luigi
1979
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### Cited by 374 Authors

 34 Brzdęk, Janusz 28 Jung, Soon-Mo 23 Rassias, John Michael 21 Park, Choonkil 16 Eshaghi Gordji, Madjid 15 Forti, Gian Luigi 13 Kim, Hark-Mahn 12 Chung, Jaeyoung 12 Najati, Abbas 12 Popa, Dorian 12 Smítal, Jaroslav 11 Rassias, Themistocles Michael 11 Xu, Bing 10 Paganoni, Luigi 10 Sahoo, Prasanna K. 9 Ciepliński, Krzysztof 9 Kim, Gwang Hui 8 Khodaei, Hamid 8 Lee, Young-Su 7 Balibrea, Francisco 7 Cho, Yeol Je 7 El-Fassi, Iz-Iddine 7 García Guirao, Juan Luis 7 Štefánková, Marta 6 Badora, Roman 6 Bahyrycz, Anna 6 Chudziak, Jacek 6 Jun, Kil-Woung 6 Schwaiger, Jens 6 Wang, Zhihua 5 Alizadeh, Zahra 5 Almahalebi, Muaadh 5 Bae, Jae-Hyeong 5 Kabbaj, Samir 5 Lee, Young Whan 5 Moslehian, Mohammad Sal 5 Moszner, Zenon 5 Piszczek, Magdalena 5 Shtern, Aleksandr Isaakovich 5 Snoha, Ľubomír 5 Xu, Tianzhou 4 Cădariu, Liviu I. 4 Charifi, Ahmed 4 Chung, Soon-Yeong 4 Faĭziev, Valeriĭ A. 4 Fechner, Włodzimierz 4 Kim, Dohan 4 Lampart, Marek 4 Liao, Gongfu 4 Przebieracz, Barbara 4 Saadati, Reza 4 Sikorska, Justyna 4 Sintunavarat, Wutiphol 4 Tabor, Józef 4 Wang, Hui 4 Zhang, Weinian 4 Zlatoš, Pavol Ján 3 Agbeko, Nutefe Kwami 3 Aiemsomboon, Laddawan 3 Batko, Bogdan 3 Bouikhalene, Belaid 3 Cabello Sánchez, Félix 3 Chu, Hahng-Yun 3 El-hady, El-sayed 3 Elhoucien, Elqorachi 3 Elqorachi, Elhoucien 3 Fan, Qinjie 3 Fu, Heman 3 Găvruţă, Paşc 3 Ger, Roman 3 Jabłońska, Eliza 3 Ku, Se-Hyun 3 Kupka, Jiří 3 Lee, Jung-Rye 3 Lee, Juri 3 Lee, Yang-Hi 3 Moghimi, Mohammad Bagher Farshbaf 3 Oprocha, Piotr 3 Páles, Zsolt 3 Park, Wongil 3 Rasa, Ioan 3 Rassias, Matina John 3 Sadr, Maysam Maysami 3 Son, Eunyoung 3 Tabor, Jacek 3 Tan, Feng 3 Wang, Lidong 3 Xiong, Jincheng 2 Ahmed, Redouani 2 Alimohammady, Mohsen 2 Alizadeh, Badrkhan 2 Baghani, Hamid 2 Baron, Karol 2 Başcı, Yasemin 2 Basios, Vasileios 2 Bavand Savadkouhi, Meysam 2 Ben Makhlouf, Abdellatif 2 Borelli, Costanza 2 Buşe, Constantin 2 Cánovas, Jose S. ...and 274 more Authors
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### Cited in 112 Serials

 61 Journal of Mathematical Analysis and Applications 45 Aequationes Mathematicae 26 Journal of Inequalities and Applications 21 Abstract and Applied Analysis 19 Results in Mathematics 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Chaos, Solitons and Fractals 12 Advances in Difference Equations 11 Fixed Point Theory and Applications 9 Topology and its Applications 8 Acta Mathematica Hungarica 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Applied Mathematics and Computation 7 Applied Mathematics Letters 6 Journal of Function Spaces 5 Proceedings of the American Mathematical Society 5 Journal of Fixed Point Theory and Applications 4 Discrete and Continuous Dynamical Systems 4 Acta Mathematica Sinica. English Series 4 Annales Mathematicae Silesianae 4 Mathematics 3 Computers & Mathematics with Applications 3 Journal of Mathematical Physics 3 Journal of Approximation Theory 3 Indagationes Mathematicae. New Series 3 Bulletin des Sciences Mathématiques 3 Journal of Difference Equations and Applications 3 Discrete Dynamics in Nature and Society 3 Dynamical Systems 3 Proyecciones 3 Journal of Nonlinear Science and Applications 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Mathematical Sciences 3 Korean Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Demonstratio Mathematica 2 Fuzzy Sets and Systems 2 Mathematische Nachrichten 2 Quaestiones Mathematicae 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 International Journal of Computer Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 Georgian Mathematical Journal 2 Soft Computing 2 Banach Journal of Mathematical Analysis 2 Tbilisi Mathematical Journal 2 Advances in Pure and Applied Mathematics 2 International Journal of Nonlinear Analysis and Applications 2 AIMS Mathematics 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Acta Mathematica Vietnamica 1 Algebra Universalis 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Functional Analysis and its Applications 1 Information Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Journal of Soviet Mathematics 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Real Analysis Exchange 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Bulletin of the Korean Mathematical Society 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Science in China. Series A 1 Linear Algebra and its Applications 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Filomat 1 Journal of Mathematical Chemistry 1 Journal of Applied Analysis 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 The ANZIAM Journal 1 Nonlinear Analysis. Modelling and Control 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Central European Journal of Mathematics 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 International Journal of Geometric Methods in Modern Physics 1 Boundary Value Problems 1 Stochastics 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Mathematical Inequalities 1 Acta Universitatis Sapientiae. Mathematica ...and 12 more Serials
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### Cited in 33 Fields

 337 Difference and functional equations (39-XX) 75 Dynamical systems and ergodic theory (37-XX) 74 Functional analysis (46-XX) 46 General topology (54-XX) 40 Operator theory (47-XX) 16 Ordinary differential equations (34-XX) 13 Real functions (26-XX) 11 Group theory and generalizations (20-XX) 9 Topological groups, Lie groups (22-XX) 8 Approximations and expansions (41-XX) 8 Abstract harmonic analysis (43-XX) 5 Partial differential equations (35-XX) 5 Integral equations (45-XX) 5 Numerical analysis (65-XX) 4 Associative rings and algebras (16-XX) 3 Mathematical logic and foundations (03-XX) 3 Number theory (11-XX) 3 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX)