## Pliska, Stanley R.

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 Author ID: pliska.stanley-r Published as: Pliska, Stanley R.; Pliska, S. R.; Pliska, Stanley; Pliska, S. more...less External Links: MGP
 Documents Indexed: 52 Publications since 1973 2 Contributions as Editor Co-Authors: 31 Co-Authors with 38 Joint Publications 727 Co-Co-Authors
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### Co-Authors

 16 single-authored 11 Bielecki, Tomasz R. 3 Deshmukh, Sudhakar D. 2 Back, Kerry E. 2 Cadenillas, Abel 2 Duan, Jin-Chuan 2 Duarte, Isabel 2 Harrison, John Michael 2 Hernández-Hernández, Daniel 2 Milioni, Armando Zeferino 2 Pinheiro, Diogo 2 Pinto, Alberto Adrego 2 Selby, Michael J. P. 1 Atkinson, Colin 1 Buescu, Cristin 1 De Morais, Paul Renato 1 Dempster, Michael A. H. 1 Geman, Hélyette 1 Jin, Hanqing 1 Konno, Hiroshi 1 Madan, Dilip B. 1 Morton, Andrew J. 1 Özekici, Süleyman 1 Sherris, Michael 1 Suzuki, Ken-ichi 1 Suzuki, Kiyoshi 1 Tcha, Dongwan 1 Vorst, Ton C. F. 1 Weiss, Howard J. 1 Wilmott, Paul 1 Yong, Jiongmin 1 Zhou, Xunyu
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### Serials

 3 Stochastic Processes and their Applications 3 Mathematical Finance 2 IEEE Transactions on Automatic Control 2 Mathematics of Operations Research 2 Naval Research Logistics 2 Operations Research 2 Journal of Economic Dynamics & Control 2 Finance and Stochastics 2 SIAM Journal on Control 1 Stochastics 1 Applied Mathematics and Optimization 1 The Australian Journal of Statistics 1 Econometrica 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Journal of Economic Theory 1 Journal of Mathematical Economics 1 Journal of Optimization Theory and Applications 1 Management Science 1 Opsearch 1 The Review of Economic Studies 1 SIAM Journal on Control and Optimization 1 Optimization 1 Annals of Operations Research 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Philosophical Transactions of the Royal Society of London. Series A 1 Mathematical Methods of Operations Research 1 International Journal of Theoretical and Applied Finance 1 Quantitative Finance 1 Springer Finance
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### Fields

 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Probability theory and stochastic processes (60-XX) 21 Operations research, mathematical programming (90-XX) 21 Systems theory; control (93-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Operator theory (47-XX)

### Citations contained in zbMATH Open

46 Publications have been cited 1,462 times in 1,185 Documents Cited by Year
Martingales and stochastic integrals in the theory of continuous trading. Zbl 0482.60097
Harrison, J. Michael; Pliska, Stanley R.
1981
A stochastic calculus model of continuous trading: optimal portfolios. Zbl 1011.91503
Pliska, Stanley R.
1986
Continuous-time mean-variance portfolio selection with bankruptcy prohibition. Zbl 1153.91466
Bielecki, Tomasz; Jin, Hanqing; Pliska, Stanley R.; Zhou, Xun Yu
2005
A stochastic calculus model of continuous trading: Complete markets. Zbl 0511.60094
Harrison, J. Michael; Pliska, Stanley R.
1983
Risk-sensitive dynamic asset management. Zbl 0984.91047
Bielecki, T. R.; Pliska, S. R.
1999
Optimal portfolio management with fixed transaction costs. Zbl 0866.90020
Morton, Andrew J.; Pliska, Stanley R.
1995
On the fundamental theorem of asset pricing with an infinite state space. Zbl 0721.90016
Back, Kerry; Pliska, Stanley R.
1991
Controlled jump processes. Zbl 0313.60055
Pliska, Stanley R.
1975
Risk sensitive control of finite state Markov chains in discrete time, with applications to portfolio management. Zbl 0959.91029
Bielecki, Tomasz; Hernández-Hernández, Daniel; Pliska, Stanley R.
1999
Risk sensitive asset management with transaction costs. Zbl 0982.91024
Bielecki, Tomasz R.; Pliska, Stanley R.
2000
Risk-sensitive ICAPM with application to fixed-income management. Zbl 1366.91164
Bielecki, Tomasz R.; Pliska, Stanley R.
2004
Option valuation with co-integrated asset prices. Zbl 1179.91261
Duan, Jin-Chuan; Pliska, Stanley R.
2004
Risk sensitive asset allocation. Zbl 0951.90051
Bielecki, T. R.; Pliska, S. R.; Sherris, M.
2000
Risk sensitive portfolio management with Cox-Ingersoll-Ross interest rates: the HJB equation. Zbl 1158.91370
Bielecki, Tomasz R.; Pliska, Stanley R.; Sheu, Shuenn-Jyi
2006
Optimal control of single-server queueing networks and multi-class M/G/1 queues with feedback. Zbl 0372.60137
Tcha, Dong-Wan; Pliska, Stanley R.
1977
Portfolio management with transaction costs. Zbl 0873.90007
Atkinson, Colin; Pliska, Stanley R.; Wilmott, Paul
1997
Optimal life insurance purchase, consumption and investment on a financial market with multi-dimensional diffusive terms. Zbl 1297.93184
Duarte, I.; Pinheiro, D.; Pinto, A. A.; Pliska, S. R.
2014
Optimal trading of a security when there are taxes and transaction costs. Zbl 0924.90008
1999
Optimal consumption and exploration of nonrenewable resources under uncertainty. Zbl 0427.90031
Deshmukh, Sudhakar D.; Pliska, Stanley R.
1980
Optimization of multitype branching processes. Zbl 0345.90043
Pliska, Stanley R.
1976
Optimal portfolios with asymptotic criteria. Zbl 0785.90015
Konno, Hiroshi; Pliska, Stanley R.; Suzuki, Ken-Ichi
1993
The shadow price of information in continuous time decision problems. Zbl 0628.93076
Back, Kerry; Pliska, Stanley R.
1987
On a free boundary problem that arises in portfolio management. Zbl 0822.90011
Pliska, Stanley R.; Selby, Michael J. P.
1994
Optimal scheduling of inspections: A delayed Markov model with false positives and negatives. Zbl 0729.90046
Özekici, Suleyman; Pliska, Stanley R.
1991
Mortgage valuation and optimal refinancing. Zbl 1143.91351
Pliska, Stanley R.
2006
A semigroup representation of the maximum expected reward vector in continuous parameter Markov decision theory. Zbl 0313.60050
Pliska, Stanley R.
1975
A diffusion process model for the optimal operation of a reservoir system. Zbl 0329.60048
Pliska, Stanley R.
1975
An overview of optimal life insurance purchase, consumption and investment problems. Zbl 1246.91059
Duarte, Isabel; Pinheiro, Diogo; Pinto, Alberto A.; Pliska, Stanley R.
2011
Single person controlled diffusions with discounted costs. Zbl 0248.49015
Pliska, S. R.
1973
Optimal tracking for asset allocation with fixed and proportional transaction costs. Zbl 1405.91568
Pliska, Stanley R.; Suzuki, Kiyoshi
2004
Mathematics of derivative securities. Forewords are given by R. C. Merton and M. F. Atiyah. Zbl 0874.00033
1997
Optimal investment decisions for a portfolio with a rolling horizon bond and a discount bond. Zbl 1137.91430
Bielecki, Tomasz R.; Pliska, Stanley; Yong, Jiongmin
2005
Optimal inspection under semi-Markovian deterioration: Basic results. Zbl 0654.90028
Milioni, Armando Z.; Pliska, Stanley R.
1988
On the transient case for Markov decision chains with general state spaces. Zbl 0458.90082
Pliska, Stanley R.
1978
Optimal consumption of a nonrenewable resource with stochastic discoveries and a random environment. Zbl 0511.90051
Deshmukh, Sudhakar D.; Pliska, Stanley R.
1983
On a functional differential equation that arises in a Markov control problem. Zbl 0369.34030
Pliska, Stanley R.
1978
Multi-person controlled diffusions. Zbl 0239.90058
Pliska, Stanley R.
1973
Risk sensitive asset management with constrained trading strategies. Zbl 1037.91046
Bielecki, Tomasz R.; Hernandez-Hernandez, Daniel; Pliska, Stanley R.
2002
Optimal inspection under semi-Markovian deterioration: The catastrophic case. Zbl 0654.90031
Milioni, Armando Z.; Pliska, Stanley R.
1988
On a free boundary problem that arises in portfolio management. Zbl 0854.90015
Pliska, Stanley R.; Selby, Michael J. P.
1995
Accretive operators and Markov decision processes. Zbl 0442.90103
Pliska, Stanley R.
1980
A discrete time stochastic decision model. Zbl 0501.90088
Pliska, Stanley R.
1982
A note on the effects of taxes on optimal investment. Zbl 1147.91025
Buescu, Cristin; Cadenillas, Abel; Pliska, Stanley R.
2007
A martingale characterization of the price of a nonrenewable resource with decisions involving uncertainty. Zbl 0576.90020
Deshmukh, Sudhakar D.; Pliska, Stanley R.
1985
Optimal policies for batch service queueing systems. Zbl 0483.90047
Weiss, Howard J.; Pliska, Stanley R.
1982
Duality theory for some stochastic control models. Zbl 0506.93076
Pliska, Stanley R.
1982
Optimal life insurance purchase, consumption and investment on a financial market with multi-dimensional diffusive terms. Zbl 1297.93184
Duarte, I.; Pinheiro, D.; Pinto, A. A.; Pliska, S. R.
2014
An overview of optimal life insurance purchase, consumption and investment problems. Zbl 1246.91059
Duarte, Isabel; Pinheiro, Diogo; Pinto, Alberto A.; Pliska, Stanley R.
2011
A note on the effects of taxes on optimal investment. Zbl 1147.91025
Buescu, Cristin; Cadenillas, Abel; Pliska, Stanley R.
2007
Risk sensitive portfolio management with Cox-Ingersoll-Ross interest rates: the HJB equation. Zbl 1158.91370
Bielecki, Tomasz R.; Pliska, Stanley R.; Sheu, Shuenn-Jyi
2006
Mortgage valuation and optimal refinancing. Zbl 1143.91351
Pliska, Stanley R.
2006
Continuous-time mean-variance portfolio selection with bankruptcy prohibition. Zbl 1153.91466
Bielecki, Tomasz; Jin, Hanqing; Pliska, Stanley R.; Zhou, Xun Yu
2005
Optimal investment decisions for a portfolio with a rolling horizon bond and a discount bond. Zbl 1137.91430
Bielecki, Tomasz R.; Pliska, Stanley; Yong, Jiongmin
2005
Risk-sensitive ICAPM with application to fixed-income management. Zbl 1366.91164
Bielecki, Tomasz R.; Pliska, Stanley R.
2004
Option valuation with co-integrated asset prices. Zbl 1179.91261
Duan, Jin-Chuan; Pliska, Stanley R.
2004
Optimal tracking for asset allocation with fixed and proportional transaction costs. Zbl 1405.91568
Pliska, Stanley R.; Suzuki, Kiyoshi
2004
Risk sensitive asset management with constrained trading strategies. Zbl 1037.91046
Bielecki, Tomasz R.; Hernandez-Hernandez, Daniel; Pliska, Stanley R.
2002
Risk sensitive asset management with transaction costs. Zbl 0982.91024
Bielecki, Tomasz R.; Pliska, Stanley R.
2000
Risk sensitive asset allocation. Zbl 0951.90051
Bielecki, T. R.; Pliska, S. R.; Sherris, M.
2000
Risk-sensitive dynamic asset management. Zbl 0984.91047
Bielecki, T. R.; Pliska, S. R.
1999
Risk sensitive control of finite state Markov chains in discrete time, with applications to portfolio management. Zbl 0959.91029
Bielecki, Tomasz; Hernández-Hernández, Daniel; Pliska, Stanley R.
1999
Optimal trading of a security when there are taxes and transaction costs. Zbl 0924.90008
1999
Portfolio management with transaction costs. Zbl 0873.90007
Atkinson, Colin; Pliska, Stanley R.; Wilmott, Paul
1997
Mathematics of derivative securities. Forewords are given by R. C. Merton and M. F. Atiyah. Zbl 0874.00033
1997
Optimal portfolio management with fixed transaction costs. Zbl 0866.90020
Morton, Andrew J.; Pliska, Stanley R.
1995
On a free boundary problem that arises in portfolio management. Zbl 0854.90015
Pliska, Stanley R.; Selby, Michael J. P.
1995
On a free boundary problem that arises in portfolio management. Zbl 0822.90011
Pliska, Stanley R.; Selby, Michael J. P.
1994
Optimal portfolios with asymptotic criteria. Zbl 0785.90015
Konno, Hiroshi; Pliska, Stanley R.; Suzuki, Ken-Ichi
1993
On the fundamental theorem of asset pricing with an infinite state space. Zbl 0721.90016
Back, Kerry; Pliska, Stanley R.
1991
Optimal scheduling of inspections: A delayed Markov model with false positives and negatives. Zbl 0729.90046
Özekici, Suleyman; Pliska, Stanley R.
1991
Optimal inspection under semi-Markovian deterioration: Basic results. Zbl 0654.90028
Milioni, Armando Z.; Pliska, Stanley R.
1988
Optimal inspection under semi-Markovian deterioration: The catastrophic case. Zbl 0654.90031
Milioni, Armando Z.; Pliska, Stanley R.
1988
The shadow price of information in continuous time decision problems. Zbl 0628.93076
Back, Kerry; Pliska, Stanley R.
1987
A stochastic calculus model of continuous trading: optimal portfolios. Zbl 1011.91503
Pliska, Stanley R.
1986
A martingale characterization of the price of a nonrenewable resource with decisions involving uncertainty. Zbl 0576.90020
Deshmukh, Sudhakar D.; Pliska, Stanley R.
1985
A stochastic calculus model of continuous trading: Complete markets. Zbl 0511.60094
Harrison, J. Michael; Pliska, Stanley R.
1983
Optimal consumption of a nonrenewable resource with stochastic discoveries and a random environment. Zbl 0511.90051
Deshmukh, Sudhakar D.; Pliska, Stanley R.
1983
A discrete time stochastic decision model. Zbl 0501.90088
Pliska, Stanley R.
1982
Optimal policies for batch service queueing systems. Zbl 0483.90047
Weiss, Howard J.; Pliska, Stanley R.
1982
Duality theory for some stochastic control models. Zbl 0506.93076
Pliska, Stanley R.
1982
Martingales and stochastic integrals in the theory of continuous trading. Zbl 0482.60097
Harrison, J. Michael; Pliska, Stanley R.
1981
Optimal consumption and exploration of nonrenewable resources under uncertainty. Zbl 0427.90031
Deshmukh, Sudhakar D.; Pliska, Stanley R.
1980
Accretive operators and Markov decision processes. Zbl 0442.90103
Pliska, Stanley R.
1980
On the transient case for Markov decision chains with general state spaces. Zbl 0458.90082
Pliska, Stanley R.
1978
On a functional differential equation that arises in a Markov control problem. Zbl 0369.34030
Pliska, Stanley R.
1978
Optimal control of single-server queueing networks and multi-class M/G/1 queues with feedback. Zbl 0372.60137
Tcha, Dong-Wan; Pliska, Stanley R.
1977
Optimization of multitype branching processes. Zbl 0345.90043
Pliska, Stanley R.
1976
Controlled jump processes. Zbl 0313.60055
Pliska, Stanley R.
1975
A semigroup representation of the maximum expected reward vector in continuous parameter Markov decision theory. Zbl 0313.60050
Pliska, Stanley R.
1975
A diffusion process model for the optimal operation of a reservoir system. Zbl 0329.60048
Pliska, Stanley R.
1975
Single person controlled diffusions with discounted costs. Zbl 0248.49015
Pliska, S. R.
1973
Multi-person controlled diffusions. Zbl 0239.90058
Pliska, Stanley R.
1973
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### Cited by 1,452 Authors

 32 Siu, Tak Kuen 21 Elliott, Robert James 16 Schachermayer, Walter 15 Madan, Dilip B. 13 Pliska, Stanley R. 11 Li, Zhongfei 10 Chiu, Mei Choi 10 Jarrow, Robert Alan 10 Korn, Ralf 10 Li, Duan 9 Aase, Knut Kristian 9 Forsyth, Peter A. 9 Hata, Hiroaki 8 Li, Xun 8 Schweizer, Martin 8 Wang, Shouyang 8 Zheng, Harry H. 7 Delbaen, Freddy 7 Frittelli, Marco 7 Wong, Hoi Ying 7 Yang, Hailiang 6 Bielecki, Tomasz R. 6 Cavazos-Cadena, Rolando 6 Guo, Xianping 6 Ji, Shaolin 6 Jin, Hanqing 6 Lau, John Wei 6 Nagai, Hideo 6 Pennanen, Teemu 6 Pham, Huyên 6 Stettner, Łukasz 6 Zhou, Xunyu 6 Žitković, Gordan 5 Atkinson, Colin 5 Bi, Junna 5 Borkar, Vivek Shripad 5 Boyle, Phelim P. 5 Chang, Mouhsiung 5 Cui, Xiangyu 5 Cvitanić, Jakša 5 Duffie, James Darrell 5 Etessami, Kousha 5 Gao, Jianjun 5 Geman, Hélyette 5 Guasoni, Paolo 5 Hernández-Hernández, Daniel 5 Jouini, Elyès 5 Karatzas, Ioannis 5 Klein, Irene 5 Kopp, Peter Ekkehard 5 Kramkov, Dmitriĭ Olegovich 5 Lépinette, Emmanuel 5 Özekici, Süleyman 5 Protter, Philip Elliott 5 Sekine, Jun 5 Stricker, Christophe 5 Willinger, Walter 5 Yannakakis, Mihalis 5 Ye, Zhongxing 5 Yor, Marc 5 Zeng, Yan 4 Belak, Christoph 4 Biagini, Sara 4 Biswas, Anup 4 Bo, Lijun 4 Cadenillas, Abel 4 Chan, Leunglung 4 Cheang, Gerald H. L. 4 Chen, An 4 Choulli, Tahir 4 Christensen, Soren 4 Dai, Tian-Shyr 4 Dempster, Michael A. H. 4 Dohi, Tadashi 4 Dong, Yinghui 4 Goovaerts, Marc J. 4 Guillaume, Tristan 4 Huang, Yonghui 4 Imkeller, Peter 4 Jaimungal, Sebastian 4 Lioui, Abraham 4 Lyuu, Yuh-Dauh 4 Mariani, Maria Cristina 4 Menoukeu Pamen, Olivier 4 Mykland, Per Aslak 4 Oosterlee, Cornelis Willebrordus 4 Osaki, Shunji 4 Pang, Tao 4 Pelsser, Antoon A. J. 4 Perkkiö, Ari-Pekka 4 Platen, Eckhard 4 Robertson, Scott 4 Shirakawa, Hiroshi 4 Soner, Halil Mete 4 Suzuki, Kiyoshi 4 Tchuindjo, Leonard 4 Touzi, Nizar 4 Vanduffel, Steven 4 Vellekoop, Michel H. 4 Wang, Anjiao ...and 1,352 more Authors
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### Cited in 205 Serials

 86 Mathematical Finance 81 Insurance Mathematics & Economics 57 International Journal of Theoretical and Applied Finance 49 Quantitative Finance 43 European Journal of Operational Research 40 Stochastic Processes and their Applications 39 Journal of Economic Dynamics & Control 38 The Annals of Applied Probability 38 Applied Mathematical Finance 25 Journal of Mathematical Economics 24 Finance and Stochastics 21 Applied Mathematics and Optimization 20 Annals of Operations Research 18 Stochastic Analysis and Applications 18 Asia-Pacific Financial Markets 17 Journal of Economic Theory 16 SIAM Journal on Control and Optimization 16 North American Actuarial Journal 16 Annals of Finance 14 Mathematical Methods of Operations Research 14 Mathematics and Financial Economics 13 Stochastics 11 Applied Mathematics and Computation 11 SIAM Journal on Financial Mathematics 10 Advances in Applied Probability 10 Journal of Applied Probability 10 Journal of Econometrics 10 Journal of Optimization Theory and Applications 9 Scandinavian Actuarial Journal 9 Review of Derivatives Research 9 Journal of Industrial and Management Optimization 8 Mathematical and Computer Modelling 8 Communications in Statistics. Theory and Methods 8 Journal of Systems Science and Complexity 7 Journal of Mathematical Analysis and Applications 7 Journal of Computational and Applied Mathematics 7 Mathematics of Operations Research 7 Operations Research Letters 7 Mathematical Programming. Series A. Series B 7 Decisions in Economics and Finance 7 ASTIN Bulletin 6 Automatica 6 Systems & Control Letters 6 Queueing Systems 6 Economics Letters 5 Physica A 5 Stochastics 5 The Annals of Probability 5 Statistics & Probability Letters 5 Journal of Applied Mathematics and Stochastic Analysis 5 The ANZIAM Journal 4 International Journal of Systems Science 4 Moscow University Mathematics Bulletin 4 Kybernetika 4 Optimization 4 Automation and Remote Control 4 Stochastics and Stochastics Reports 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Abstract and Applied Analysis 4 Methodology and Computing in Applied Probability 4 Applied Stochastic Models in Business and Industry 4 Journal of Applied Mathematics 3 Computers & Mathematics with Applications 3 International Journal of Control 3 Acta Mathematicae Applicatae Sinica. English Series 3 Sequential Analysis 3 Computers & Operations Research 3 International Journal of Computer Mathematics 3 Journal of Mathematical Sciences (New York) 3 Economic Theory 3 International Game Theory Review 3 Stochastic Models 3 Computational Management Science 3 Mathematical Control and Related Fields 2 Mathematical Biosciences 2 The Annals of Statistics 2 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 2 Journal of Statistical Planning and Inference 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Naval Research Logistics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Operations Research 2 Scandinavian Actuarial Journal 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Optimal Control Applications & Methods 2 Acta Applicandae Mathematicae 2 Applied Numerical Mathematics 2 Journal of Theoretical Probability 2 Applied Mathematics Letters 2 MCSS. Mathematics of Control, Signals, and Systems 2 Stochastic Hydrology and Hydraulics 2 Japan Journal of Industrial and Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Statistics 2 SIAM Review 2 ZOR. Zeitschrift für Operations Research 2 Computational Economics 2 Journal of Computer and Systems Sciences International ...and 105 more Serials
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### Cited in 35 Fields

 992 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 485 Probability theory and stochastic processes (60-XX) 252 Systems theory; control (93-XX) 159 Operations research, mathematical programming (90-XX) 113 Calculus of variations and optimal control; optimization (49-XX) 110 Statistics (62-XX) 47 Numerical analysis (65-XX) 43 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 10 Computer science (68-XX) 8 Operator theory (47-XX) 7 Measure and integration (28-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX)