## Peszat, Szymon

Compute Distance To:
 Author ID: peszat.szymon Published as: Peszat, Szymon; Peszat, S. External Links: MGP
 Documents Indexed: 46 Publications since 1992, including 1 Book 1 Contribution as Editor Co-Authors: 24 Co-Authors with 36 Joint Publications 611 Co-Co-Authors
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### Co-Authors

 11 single-authored 10 Zabczyk, Jerzy 9 Brzeźniak, Zdzisław 6 Komorowski, Tomasz 4 Goldys, Beniamin 2 Capiński, Marek 2 Russo, Francesco 2 Stettner, Łukasz 2 Szarek, Tomasz Jakub 1 Chojnowska-Michalik, Anna 1 Constantin, Adrian 1 Crisan, Dan O. 1 Dong, Zhao 1 Fannjiang, Albert C. 1 Imkeller, Peter 1 Kondrat, Grzegorz 1 Otobe, Yoshiki 1 Priola, Enrico 1 Ryzhik, Lenya 1 Seidler, Jan 1 Talarczyk, Anna 1 Tindel, Samy 1 Xu, Lihu 1 Zawisza, Dariusz 1 Zegarlinski, Boguslaw
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### Serials

 3 The Annals of Probability 3 Stochastic Processes and their Applications 2 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Probability Theory and Related Fields 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Journal of Evolution Equations 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal of Statistical Physics 1 Nonlinearity 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Differential and Integral Equations 1 Mathematica Bohemica 1 Journal of Physics A: Mathematical and General 1 Stochastics and Stochastics Reports 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Electronic Communications in Probability 1 Bernoulli 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Banach Center Publications 1 Encyclopedia of Mathematics and Its Applications
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### Fields

 44 Probability theory and stochastic processes (60-XX) 15 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 877 times in 681 Documents Cited by Year
Stochastic partial differential equations with Lévy noise. An evolution equation approach. Zbl 1205.60122
Peszat, S.; Zabczyk, J.
2007
Strong Feller property and irreducibility for diffusions on Hilbert spaces. Zbl 0831.60083
Peszat, Szymon; Zabczyk, Jerzy
1995
Nonlinear stochastic wave and heat equations. Zbl 0959.60044
Peszat, Szymon; Zabczyk, Jerzy
2000
Stochastic evolution equations with a spatially homogeneous Wiener process. Zbl 0943.60048
Peszat, Szymon; Zabczyk, Jerzy
1997
On ergodicity of some Markov processes. Zbl 1214.60035
Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz
2010
Stochastic two dimensional Euler equations. Zbl 1032.60055
Brzeźniak, Zdzisław; Peszat, Szymon
2001
Large deviation principle for stochastic evolution equations. Zbl 0792.60057
Peszat, Szymon
1994
The Cauchy problem for a nonlinear stochastic wave equation in any dimension. Zbl 1375.60109
Peszat, Szymon
2002
Space-time continuous solutions to SPDE’s driven by a homogeneous Wiener process. Zbl 0944.60075
Brzeźniak, Zdzisław; Peszat, Szymon
1999
On the existence of a solution to stochastic Navier-Stokes equations. Zbl 0976.60063
Capiński, Marek; Peszat, Szymon
2001
Stochastic heat and wave equations driven by an impulsive noise. Zbl 1115.60320
Peszat, Szymon; Zabczyk, Jerzy
2006
Time regularity of solutions to linear equations with Lévy noise in infinite dimensions. Zbl 1262.60061
Peszat, S.; Zabczyk, J.
2013
Time irregularity of generalized Ornstein-Uhlenbeck processes. (Irrégularité en temps des processus Ornstein-Uhlenbeck généralisés.) Zbl 1205.60119
Brzeźniak, Zdzisław; Goldys, Ben; Imkeller, Peter; Peszat, Szymon; Priola, Enrico; Zabczyk, Jerzy
2010
Strong local and global solutions for stochastic Navier-Stokes equations. Zbl 0985.35061
Brzeźniak, Zdzisław; Peszat, Szymon
2000
Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations. Zbl 0882.60055
Capiński, Marek; Peszat, Szymon
1997
Existence and uniqueness of the solution for stochastic equations on Banach spaces. Zbl 0886.60064
Peszat, Szymon
1995
Maximal inequalities and exponential estimates for stochastic convolutions in Banach spaces. Zbl 0978.60071
Brzeźniak, Zdisław; Peszat, Szymon
2000
On a Sobolev space of functions of infinite number of variables. Zbl 0801.46040
Peszat, Szymon
1993
Continuity of stochastic convolutions. Zbl 1001.60056
Brzeźniak, Zdzisław; Peszat, Szymon; Zabczyk, Jerzy
2001
Second order PDEs with Dirichlet white noise boundary conditions. Zbl 1317.60075
Brzeźniak, Zdzisław; Goldys, Ben; Peszat, Szymon; Russo, Francesco
2015
Exponential tail estimates for infinite-dimensional stochastic convolutions. Zbl 0818.60050
Peszat, Szymon
1992
Maximal inequalities and space-time regularity of stochastic convolutions. Zbl 0903.60047
Peszat, Szymon; Seidler, Jan
1998
Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator. Zbl 1231.47041
Peszat, S.
2011
Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056
Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya
2009
Passive tracer in a flow corresponding to two-dimensional stochastic Navier-Stokes equations. Zbl 1273.76083
Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz
2013
Time regularity for stochastic Volterra equations by the dilation theorem. Zbl 1322.60128
Peszat, S.; Zabczyk, J.
2014
Hyperbolic equations with random boundary conditions. Zbl 1203.60082
Brzeźniak, Zdzisław; Peszat, Szymon
2010
Lagrangian dynamics for a passive tracer in a class of Gaussian Markovian flows. Zbl 1058.60048
Fannjiang, Albert; Komorowski, Tomasz; Peszat, Szymon
2002
Global existence of solutions of semilinear parabolic evolution equations. Zbl 1038.35025
2000
Stochastic heat and wave equations on a Lie group. Zbl 1203.60090
Peszat, Szymon; Tindel, Samy
2010
On some smoothening effects of the transition semigroup of a Lévy process. Zbl 1350.47056
Dong, Zhao; Peszat, Szymon; Xu, Lihu
2016
Stochastic partial differential equations with Lévy noise (a few aspects). Zbl 1333.60142
Peszat, Szymon
2015
Large-noise asymptotic for one-dimensional diffusions. Zbl 1072.60014
Peszat, Szymon; Russo, Francesco
2005
Law equivalence of solutions of some linear stochastic equations in Hilbert spaces. Zbl 0809.60075
Peszat, Szymon
1992
Equivalence of distributions of some Ornstein-Uhlenbeck processes taking values in Hilbert space. Zbl 0772.60029
Peszat, S.
1992
Inverse problems for stochastic transport equations. Zbl 1322.35172
Crisan, Dan; Otobe, Yoshiki; Peszat, Szymon
2015
Ergodicity for generalized Kawasaki dynamics. Zbl 0980.82019
Kondrat, G.; Peszat, S.; Zegarlinski, B.
2000
Functional central limit theorem for additive functionals of $$\alpha$$-stable processes. Zbl 1197.60033
Peszat, Szymon; Talarczyk, Anna
2010
SPDEs driven by a homogeneous Wiener process. Zbl 1006.60060
Peszat, Szymon
2002
Law equivalence of stochastic linear systems. Zbl 0933.60069
Gołdys, Beniamin; Peszat, Szymon
1999
Transport of a passive tracer by an irregular velocity field. Zbl 1157.76335
Komorowski, Tomasz; Peszat, Szymon
2004
Sobolev spaces of functions on an infinite-dimensional domain. Zbl 0865.46022
Peszat, Szymon
1996
On some smoothening effects of the transition semigroup of a Lévy process. Zbl 1350.47056
Dong, Zhao; Peszat, Szymon; Xu, Lihu
2016
Second order PDEs with Dirichlet white noise boundary conditions. Zbl 1317.60075
Brzeźniak, Zdzisław; Goldys, Ben; Peszat, Szymon; Russo, Francesco
2015
Stochastic partial differential equations with Lévy noise (a few aspects). Zbl 1333.60142
Peszat, Szymon
2015
Inverse problems for stochastic transport equations. Zbl 1322.35172
Crisan, Dan; Otobe, Yoshiki; Peszat, Szymon
2015
Time regularity for stochastic Volterra equations by the dilation theorem. Zbl 1322.60128
Peszat, S.; Zabczyk, J.
2014
Time regularity of solutions to linear equations with Lévy noise in infinite dimensions. Zbl 1262.60061
Peszat, S.; Zabczyk, J.
2013
Passive tracer in a flow corresponding to two-dimensional stochastic Navier-Stokes equations. Zbl 1273.76083
Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz
2013
Lévy-Ornstein-Uhlenbeck transition semigroup as second quantized operator. Zbl 1231.47041
Peszat, S.
2011
On ergodicity of some Markov processes. Zbl 1214.60035
Komorowski, Tomasz; Peszat, Szymon; Szarek, Tomasz
2010
Time irregularity of generalized Ornstein-Uhlenbeck processes. (Irrégularité en temps des processus Ornstein-Uhlenbeck généralisés.) Zbl 1205.60119
Brzeźniak, Zdzisław; Goldys, Ben; Imkeller, Peter; Peszat, Szymon; Priola, Enrico; Zabczyk, Jerzy
2010
Hyperbolic equations with random boundary conditions. Zbl 1203.60082
Brzeźniak, Zdzisław; Peszat, Szymon
2010
Stochastic heat and wave equations on a Lie group. Zbl 1203.60090
Peszat, Szymon; Tindel, Samy
2010
Functional central limit theorem for additive functionals of $$\alpha$$-stable processes. Zbl 1197.60033
Peszat, Szymon; Talarczyk, Anna
2010
Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056
Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya
2009
Stochastic partial differential equations with Lévy noise. An evolution equation approach. Zbl 1205.60122
Peszat, S.; Zabczyk, J.
2007
Stochastic heat and wave equations driven by an impulsive noise. Zbl 1115.60320
Peszat, Szymon; Zabczyk, Jerzy
2006
Large-noise asymptotic for one-dimensional diffusions. Zbl 1072.60014
Peszat, Szymon; Russo, Francesco
2005
Transport of a passive tracer by an irregular velocity field. Zbl 1157.76335
Komorowski, Tomasz; Peszat, Szymon
2004
The Cauchy problem for a nonlinear stochastic wave equation in any dimension. Zbl 1375.60109
Peszat, Szymon
2002
Lagrangian dynamics for a passive tracer in a class of Gaussian Markovian flows. Zbl 1058.60048
Fannjiang, Albert; Komorowski, Tomasz; Peszat, Szymon
2002
SPDEs driven by a homogeneous Wiener process. Zbl 1006.60060
Peszat, Szymon
2002
Stochastic two dimensional Euler equations. Zbl 1032.60055
Brzeźniak, Zdzisław; Peszat, Szymon
2001
On the existence of a solution to stochastic Navier-Stokes equations. Zbl 0976.60063
Capiński, Marek; Peszat, Szymon
2001
Continuity of stochastic convolutions. Zbl 1001.60056
Brzeźniak, Zdzisław; Peszat, Szymon; Zabczyk, Jerzy
2001
Nonlinear stochastic wave and heat equations. Zbl 0959.60044
Peszat, Szymon; Zabczyk, Jerzy
2000
Strong local and global solutions for stochastic Navier-Stokes equations. Zbl 0985.35061
Brzeźniak, Zdzisław; Peszat, Szymon
2000
Maximal inequalities and exponential estimates for stochastic convolutions in Banach spaces. Zbl 0978.60071
Brzeźniak, Zdisław; Peszat, Szymon
2000
Global existence of solutions of semilinear parabolic evolution equations. Zbl 1038.35025
2000
Ergodicity for generalized Kawasaki dynamics. Zbl 0980.82019
Kondrat, G.; Peszat, S.; Zegarlinski, B.
2000
Space-time continuous solutions to SPDE’s driven by a homogeneous Wiener process. Zbl 0944.60075
Brzeźniak, Zdzisław; Peszat, Szymon
1999
Law equivalence of stochastic linear systems. Zbl 0933.60069
Gołdys, Beniamin; Peszat, Szymon
1999
Maximal inequalities and space-time regularity of stochastic convolutions. Zbl 0903.60047
Peszat, Szymon; Seidler, Jan
1998
Stochastic evolution equations with a spatially homogeneous Wiener process. Zbl 0943.60048
Peszat, Szymon; Zabczyk, Jerzy
1997
Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations. Zbl 0882.60055
Capiński, Marek; Peszat, Szymon
1997
Sobolev spaces of functions on an infinite-dimensional domain. Zbl 0865.46022
Peszat, Szymon
1996
Strong Feller property and irreducibility for diffusions on Hilbert spaces. Zbl 0831.60083
Peszat, Szymon; Zabczyk, Jerzy
1995
Existence and uniqueness of the solution for stochastic equations on Banach spaces. Zbl 0886.60064
Peszat, Szymon
1995
Large deviation principle for stochastic evolution equations. Zbl 0792.60057
Peszat, Szymon
1994
On a Sobolev space of functions of infinite number of variables. Zbl 0801.46040
Peszat, Szymon
1993
Exponential tail estimates for infinite-dimensional stochastic convolutions. Zbl 0818.60050
Peszat, Szymon
1992
Law equivalence of solutions of some linear stochastic equations in Hilbert spaces. Zbl 0809.60075
Peszat, Szymon
1992
Equivalence of distributions of some Ornstein-Uhlenbeck processes taking values in Hilbert space. Zbl 0772.60029
Peszat, S.
1992
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### Cited by 682 Authors

 31 Brzeźniak, Zdzisław 17 Zabczyk, Jerzy 15 Hausenblas, Erika 14 Peszat, Szymon 13 Duan, Jinqiao 12 Benth, Fred Espen 11 Gao, Hongjun 11 Liu, Wei 11 Manna, Utpal 11 Ondreját, Martin 11 Razafimandimby, Paul André 11 Szarek, Tomasz Jakub 11 Zhang, Tusheng S. 10 Goldys, Beniamin 10 Redmann, Martin 9 Albeverio, Sergio A. 9 Huang, Jianhua 9 Komorowski, Tomasz 9 Riedle, Markus 9 Xu, Lihu 8 Cerrai, Sandra 8 Dalang, Robert C. 8 Maslowski, Bohdan 8 Tappe, Stefan 8 Zhai, Jianliang 7 Balan, Raluca M. 7 Blömker, Dirk 7 Deugoue, Gabriel 7 Gess, Benjamin 7 Lang, Annika 7 Mohan, Manil Thankamani 7 Quer-Sardanyons, Lluís 7 Röckner, Michael 7 Sango, Mamadou 7 Wang, Ran 7 Xie, Bin 6 Da Prato, Giuseppe 6 Dong, Zhao 6 Glatt-Holtz, Nathan E. 6 Khoshnevisan, Davar 6 Majee, Ananta K. 6 Millet, Annie 6 Priola, Enrico 6 Süss, André 6 Tachim Medjo, Theodore 6 Temam, Roger Meyer 6 Tindel, Samy 5 Barski, Michał 5 Barth, Andrea 5 Chong, Carsten 5 Flandoli, Franco 5 Liu, Jicheng 5 Rüdiger, Barbara 5 Shen, Tianlong 5 Świȩch, Andrzej 5 Yamazaki, Kazuo 5 Zhao, Huaizhong 4 Benner, Peter 4 Bessaih, Hakima 4 Breit, Dominic 4 Criens, David 4 Debussche, Arnaud 4 Di Persio, Luca 4 Hille, Sander Cornelis 4 Horbacz, Katarzyna 4 Huan, Diem Dang 4 Kovács, Mihály 4 Krühner, Paul 4 Kulik, Alexey M. 4 Li, Yuhong 4 Liu, Kai 4 Marinelli, Carlo 4 Masiero, Federica 4 Mikulevicius, Remigijus 4 Mukherjee, Debopriya 4 Nualart, David 4 Salins, Michael 4 Sanz-Solé, Marta 4 Schwab, Christoph 4 Talarczyk, Anna 4 van Neerven, Jan M. A. M. 4 Wang, Jian 4 Wu, Jianglun 4 Xie, Yingchao 4 Zheng, Yan 4 Zhu, Jiahui 3 Agarwal, Ravi P. 3 Applebaum, David B. 3 Ascanelli, Alessia 3 Baccouch, Mahboub 3 Bao, Jianhai 3 Barbu, Viorel 3 Bierkens, Joris 3 Biswas, Imran H. 3 Chen, Le 3 Chen, Yong 3 Chow, Pao-Liu 3 Conus, Daniel 3 Feng, Chunrong 3 Ferrario, Benedetta ...and 582 more Authors
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### Cited in 164 Serials

 58 Stochastic Processes and their Applications 35 Journal of Differential Equations 29 Stochastic Analysis and Applications 27 Journal of Mathematical Analysis and Applications 25 Potential Analysis 22 Journal of Functional Analysis 19 The Annals of Probability 18 Stochastic and Partial Differential Equations. Analysis and Computations 17 Journal of Theoretical Probability 13 Applied Mathematics and Computation 13 Applied Mathematics and Optimization 12 Journal of Evolution Equations 12 Discrete and Continuous Dynamical Systems. Series B 12 Stochastics and Dynamics 11 NoDEA. Nonlinear Differential Equations and Applications 9 Statistics & Probability Letters 9 Electronic Journal of Probability 9 Infinite Dimensional Analysis, Quantum Probability and Related Topics 8 Communications in Mathematical Physics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Probability Theory and Related Fields 8 The Annals of Applied Probability 8 SIAM Journal on Mathematical Analysis 8 Discrete and Continuous Dynamical Systems 7 Physica D 7 Stochastics 6 Czechoslovak Mathematical Journal 6 Abstract and Applied Analysis 5 Archive for Rational Mechanics and Analysis 5 Journal of Computational and Applied Mathematics 5 Transactions of the American Mathematical Society 5 Acta Applicandae Mathematicae 5 Theory of Probability and Mathematical Statistics 5 Finance and Stochastics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 International Journal of Stochastic Analysis 4 Communications in Partial Differential Equations 4 Stochastics and Stochastics Reports 4 Random Operators and Stochastic Equations 4 Acta Mathematica Sinica. English Series 4 Advances in Difference Equations 4 Science China. Mathematics 3 Journal of Mathematical Physics 3 Journal of Statistical Physics 3 BIT 3 Osaka Journal of Mathematics 3 Applied Numerical Mathematics 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Filomat 3 Electronic Communications in Probability 3 Bernoulli 3 Mathematical Finance 3 Journal of Inequalities and Applications 3 International Journal of Theoretical and Applied Finance 3 Journal of Mathematical Fluid Mechanics 3 Nonlinear Analysis. Real World Applications 3 Communications on Pure and Applied Analysis 3 Frontiers of Mathematics in China 3 Kinetic and Related Models 3 Probability Surveys 2 Advances in Applied Probability 2 Computers & Mathematics with Applications 2 International Journal of Control 2 Journal of Mathematical Biology 2 Chaos, Solitons and Fractals 2 Integral Equations and Operator Theory 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Ergodic Theory and Dynamical Systems 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Asymptotic Analysis 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Scientific Computing 2 Forum Mathematicum 2 Communications in Statistics. Theory and Methods 2 Bulletin des Sciences Mathématiques 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Nonlinear Analysis. Hybrid Systems 2 SIAM Journal on Financial Mathematics 2 Communications in Mathematics and Statistics 2 SIAM/ASA Journal on Uncertainty Quantification 2 Nonlinear Analysis. Theory, Methods & Applications 2 Chinese Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Lithuanian Mathematical Journal 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics ...and 64 more Serials
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### Cited in 36 Fields

 613 Probability theory and stochastic processes (60-XX) 299 Partial differential equations (35-XX) 78 Fluid mechanics (76-XX) 66 Dynamical systems and ergodic theory (37-XX) 59 Operator theory (47-XX) 49 Numerical analysis (65-XX) 45 Ordinary differential equations (34-XX) 39 Systems theory; control (93-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Functional analysis (46-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 16 Biology and other natural sciences (92-XX) 14 Integral equations (45-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Measure and integration (28-XX) 9 Geophysics (86-XX) 7 Real functions (26-XX) 6 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Abstract harmonic analysis (43-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)