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Nelson, Joseph Edward

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Author ID: nelson.edward Recent zbMATH articles by "Nelson, Joseph Edward"
Published as: Nelson, Edward; Nelson, E.; Nelson, Edwin
Homepage: https://web.math.princeton.edu/~nelson/
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 51 Publications since 1958, including 8 Books
1 Contribution as Editor · 1 Further Contribution
Biographic References: 2 Publications
Co-Authors: 27 Co-Authors with 9 Joint Publications
1,042 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 2,469 times in 2,172 Documents Cited by Year
Analytic vectors. Zbl 0091.10704
Nelson, Edward
376
1959
Dynamical theories of Brownian motion. Zbl 0165.58502
Nelson, Edward
357
1967
Notes on non-commutative integration. Zbl 0292.46030
Nelson, Edward
297
1974
The free Markoff field. Zbl 0273.60079
Nelson, Edward
231
1973
Feynman integrals and the Schrödinger equation. Zbl 0133.22905
Nelson, E.
196
1964
Quantum fluctuations. Zbl 0563.60001
Nelson, Edward
184
1985
Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040
Nelson, Edward
180
1977
Topics in dynamics. I: Flows. Zbl 0197.10702
Nelson, E.
97
1969
Construction of quantum fields from Markoff fields. Zbl 0252.60053
Nelson, Edward
92
1973
Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103
Nelson, Edward; Stinespring, W. Forrest
62
1959
Radically elementary probability theory. Zbl 0651.60001
Nelson, Edward
48
1987
The adjoint Markoff process. Zbl 0084.13402
Nelson, Edward
43
1958
Predicative arithmetic. Zbl 0617.03002
Nelson, Edward
37
1986
Regular probability measures on function space. Zbl 0087.13102
Nelson, Edward
29
1959
Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012
Nelson, Edward
27
1972
Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001
Nelson, Edward
23
1967
Quantum fields and Markoff fields. Zbl 0279.60096
Nelson, Edward
21
1973
The syntax of nonstandard analysis. Zbl 0642.03040
Nelson, Edward
20
1988
Probability theory and Euclidean field theory. Zbl 0367.60108
Nelson, Edward
20
1973
Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013
Nelson, Edward
17
2001
Operants: A functional calculus for non-commuting operators. Zbl 0239.47011
Nelson, Edward
16
1970
A functional calculus using singular Laplace integrals. Zbl 0081.33501
Nelson, Edward
16
1958
An existence theorem for second order parabolic equations. Zbl 0115.31101
Nelson, E.
14
1958
Kernel functions and eigenfunction expansions. Zbl 0086.09603
Nelson, Edward
11
1958
A proof of Liouville’s theorem. Zbl 0124.31203
Nelson, E.
8
1961
Optimal horizons for inflation targeting. Zbl 0978.91041
Batini, N.; Nelson, E.
6
2001
The distinguished boundary of the unit operator ball. Zbl 0103.08602
Nelson, Edward
6
1961
Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337
Walsh, M.; Hayes, M.; Nelson, J.
5
2009
The real-interest-rate gap as an inflation indicator. Zbl 1065.91031
Neiss, Katharine S.; Nelson, Edward
5
2003
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
4
2006
École d’été de probabilités de Saint-Flour XV-XVII, 1985-87 (2-19 Juil. 1985, 17 Août - 3 Sept. 1986, 1-18 Juil. 1987). Zbl 0649.00016
Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S.
4
1988
Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603
Nelson, Edward
4
1958
Les ecoulements incompressibles d’energie finie. Zbl 0237.35015
Nelson, Edward
3
1963
Field theory and the future of stochastic mechanics. Zbl 0605.60090
Nelson, Edward
2
1986
A remark on the polymer problem in four dimensions. Zbl 0522.60099
Nelson, Edward
2
1983
Taking formalism seriously. Zbl 0797.03060
Nelson, Edward
2
1993
Money and the natural rate of interest: structural estimates for the United States and the euro area. Zbl 1170.91459
Andrés, Javier; López-Salido, J. David; Nelson, Edward
2
2009
Critical diffusions. Zbl 0566.58037
Nelson, Edward
1
1985
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1
1999
Robust performance for an energy sensitive wireless body area network - an anti-windup approach. Zbl 1154.90337
Walsh, M.; Hayes, M.; Nelson, J.
5
2009
Money and the natural rate of interest: structural estimates for the United States and the euro area. Zbl 1170.91459
Andrés, Javier; López-Salido, J. David; Nelson, Edward
2
2009
Diffusion, quantum theory, and radically elementary mathematics. Zbl 1104.81003
4
2006
The real-interest-rate gap as an inflation indicator. Zbl 1065.91031
Neiss, Katharine S.; Nelson, Edward
5
2003
Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013
Nelson, Edward
17
2001
Optimal horizons for inflation targeting. Zbl 0978.91041
Batini, N.; Nelson, E.
6
2001
Irving Ezra Segal (1918–1998). Zbl 1194.01056
Baez, John C.; Beschler, Edwin F.; Gross, Leonard; Kostant, Bertram; Nelson, Edward; Vergne, Michèle; Wightman, Arthur S.
1
1999
Taking formalism seriously. Zbl 0797.03060
Nelson, Edward
2
1993
The syntax of nonstandard analysis. Zbl 0642.03040
Nelson, Edward
20
1988
École d’été de probabilités de Saint-Flour XV-XVII, 1985-87 (2-19 Juil. 1985, 17 Août - 3 Sept. 1986, 1-18 Juil. 1987). Zbl 0649.00016
Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S.
4
1988
Radically elementary probability theory. Zbl 0651.60001
Nelson, Edward
48
1987
Predicative arithmetic. Zbl 0617.03002
Nelson, Edward
37
1986
Field theory and the future of stochastic mechanics. Zbl 0605.60090
Nelson, Edward
2
1986
Quantum fluctuations. Zbl 0563.60001
Nelson, Edward
184
1985
Critical diffusions. Zbl 0566.58037
Nelson, Edward
1
1985
A remark on the polymer problem in four dimensions. Zbl 0522.60099
Nelson, Edward
2
1983
Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040
Nelson, Edward
180
1977
Notes on non-commutative integration. Zbl 0292.46030
Nelson, Edward
297
1974
The free Markoff field. Zbl 0273.60079
Nelson, Edward
231
1973
Construction of quantum fields from Markoff fields. Zbl 0252.60053
Nelson, Edward
92
1973
Quantum fields and Markoff fields. Zbl 0279.60096
Nelson, Edward
21
1973
Probability theory and Euclidean field theory. Zbl 0367.60108
Nelson, Edward
20
1973
Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012
Nelson, Edward
27
1972
Operants: A functional calculus for non-commuting operators. Zbl 0239.47011
Nelson, Edward
16
1970
Topics in dynamics. I: Flows. Zbl 0197.10702
Nelson, E.
97
1969
Dynamical theories of Brownian motion. Zbl 0165.58502
Nelson, Edward
357
1967
Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001
Nelson, Edward
23
1967
Feynman integrals and the Schrödinger equation. Zbl 0133.22905
Nelson, E.
196
1964
Les ecoulements incompressibles d’energie finie. Zbl 0237.35015
Nelson, Edward
3
1963
A proof of Liouville’s theorem. Zbl 0124.31203
Nelson, E.
8
1961
The distinguished boundary of the unit operator ball. Zbl 0103.08602
Nelson, Edward
6
1961
Analytic vectors. Zbl 0091.10704
Nelson, Edward
376
1959
Representation of elliptic operators in an enveloping algebra. Zbl 0092.32103
Nelson, Edward; Stinespring, W. Forrest
62
1959
Regular probability measures on function space. Zbl 0087.13102
Nelson, Edward
29
1959
The adjoint Markoff process. Zbl 0084.13402
Nelson, Edward
43
1958
A functional calculus using singular Laplace integrals. Zbl 0081.33501
Nelson, Edward
16
1958
An existence theorem for second order parabolic equations. Zbl 0115.31101
Nelson, E.
14
1958
Kernel functions and eigenfunction expansions. Zbl 0086.09603
Nelson, Edward
11
1958
Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603
Nelson, Edward
4
1958
all top 5

Cited by 2,098 Authors

53 Jørgensen, Palle E. T.
45 Albeverio, Sergio A.
44 Sukochev, Fedor Anatol’evich
23 Bikchentaev, Aĭrat Midkhatovich
17 Chilin, Vladimir Ivanovich
17 Dodds, Peter G.
16 Katz, Mikhail G.
15 Gliklikh, Yuriĭ Evgen’evich
15 Pavon, Michele
14 de Pagter, Bernardus
14 Kanovei, Vladimir G.
14 Van den Berg, Imme Pieter
13 Høegh-Krohn, Raphael J.
13 Kudaĭbergenov, Karimbergen Kadirbergenovich
12 Sanders, Sam
12 Simon, Barry
12 Zambrini, Jean-Claude
11 Chang, Seung Jun
11 de la Llave, Rafael
11 Dodds, Theresa K.
11 Mazzucchi, Sonia
11 Randrianantoanina, Narcisse
11 Trapani, Camillo
10 Ber, Aleksey Feliksovich
10 Chung, Hyun Soo
10 Goodman, Roe W.
10 Junge, Marius
10 Röckner, Michael
9 Ayupov, Shavkat Abdullaevich
9 Huang, Jinghao
9 Jefferies, Brian R. F.
9 Litvinov, Semyon N.
9 Neeb, Karl-Hermann
9 Triolo, Salvatore
9 Wehr, Jan
9 Zanin, Dmitriy V.
9 Zegarlinski, Boguslaw
8 Carlen, Eric Anders
8 Cresson, Jacky
8 Dürr, Detlef
8 Garbaczewski, Piotr
8 Jaffe, Arthur Michael
8 Ord, Garnet N.
8 Samoĭlenko, Yuriĭ Stefanovych
8 Wallet, Guy
7 Bratteli, Ola
7 Faris, William G.
7 Fröhlich, Jürg Martin
7 Gordon, Evgeniĭ Izrail’evich
7 Ichinose, Takashi
7 Khrennikov, Andreĭ Yur’evich
7 Klein, Abel
7 Kosaki, Hideki
7 Kutateladze, Semën Samsonovich
7 Robinson, Derek W.
7 Smolyanov, Oleg Georgievich
7 Yasue, Kunio
6 Benci, Vieri
6 Conforti, Giovanni
6 Davies, Edward Brian
6 Exner, Pavel
6 Goldstein, Sheldon
6 Gross, Leonard
6 Hiai, Fumio
6 Jumarie, Guy M.
6 Lapidus, Michel L.
6 Moretti, Valter
6 Rapoport, Diego L.
6 Reeken, Michael
6 Schmüdgen, Konrad
6 Schrader, Robert
6 Sherry, David M.
6 Skoug, David
6 Sviridyuk, Georgiĭ Anatol’evich
6 Truman, Aubrey
6 Wallach, Nolan Russell
6 Wilde, Ivan Francis
6 Zanghi, Nino
5 Alpay, Daniel Aron
5 Antoine, Jean-Pierre
5 Birrell, Jeremiah
5 Błaszczyk, Piotr
5 Chernoff, Paul R.
5 Doebner, Heinz-Dietrich
5 Ekhaguere, G. O. S.
5 Goldstein, Jerome Arthur
5 Gustafson, Karl Edwin
5 Hadwin, Donald W.
5 Hairer, Martin
5 Hrbáček, Karel
5 Landau, Lawrence J.
5 Léonard, Christian
5 Li, Wuchen
5 Mukhamedov, Farruh Maksutovich
5 Neate, Andrew D.
5 Nelson, Joseph Edward
5 Neretin, Yuriĭ Aleksandrovich
5 Ostrovskyĭ, Vasyl L.
5 Piech, M. Ann
5 Powers, Robert T.
...and 1,998 more Authors
all top 5

Cited in 400 Serials

185 Journal of Functional Analysis
145 Journal of Mathematical Physics
124 Communications in Mathematical Physics
54 Transactions of the American Mathematical Society
41 Journal of Mathematical Analysis and Applications
37 Proceedings of the American Mathematical Society
35 Journal of Statistical Physics
31 International Journal of Theoretical Physics
29 Letters in Mathematical Physics
28 Probability Theory and Related Fields
25 Advances in Mathematics
25 Integral Equations and Operator Theory
25 Journal of Differential Equations
22 Chaos, Solitons and Fractals
22 Mathematische Zeitschrift
22 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
22 Annals of Pure and Applied Logic
21 Bulletin of the American Mathematical Society
20 Mathematical Notes
20 The Journal of Symbolic Logic
20 Annales de l’Institut Henri Poincaré. Physique Théorique
20 Foundations of Physics
19 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 Stochastic Processes and their Applications
18 Reviews in Mathematical Physics
17 Physics Letters. A
16 Infinite Dimensional Analysis, Quantum Probability and Related Topics
15 Reports on Mathematical Physics
15 Functional Analysis and its Applications
14 Physica A
14 Journal of Soviet Mathematics
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Annales de l’Institut Fourier
13 Siberian Mathematical Journal
12 Ukrainian Mathematical Journal
12 Acta Applicandae Mathematicae
12 Positivity
11 Israel Journal of Mathematics
11 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
11 Journal of Economic Dynamics & Control
11 Annals of Physics
11 Journal of Mathematical Sciences (New York)
10 Mathematische Annalen
10 Synthese
10 Stochastic Analysis and Applications
10 Annales Mathématiques Blaise Pascal
10 Foundations of Science
10 Annales Henri Poincaré
10 Banach Journal of Mathematical Analysis
9 Archive for Rational Mechanics and Analysis
9 The Annals of Probability
9 Duke Mathematical Journal
9 Complex Analysis and Operator Theory
8 Journal d’Analyse Mathématique
8 Theoretical and Mathematical Physics
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Journal of Theoretical Probability
8 Linear Algebra and its Applications
7 Compositio Mathematica
7 Inventiones Mathematicae
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Notre Dame Journal of Formal Logic
7 Studia Logica
7 Proceedings of the Japan Academy
7 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
7 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
6 Applicable Analysis
6 Rocky Mountain Journal of Mathematics
6 Arkiv för Matematik
6 Acta Mathematica
6 Bulletin de la Société Mathématique de France
6 Proceedings of the Japan Academy. Series A
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Semigroup Forum
6 Systems & Control Letters
6 Physica D
6 International Journal of Mathematics
6 Archive for Mathematical Logic
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Potential Analysis
6 Bulletin des Sciences Mathématiques
6 Lobachevskii Journal of Mathematics
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Logic and Analysis
5 Computers & Mathematics with Applications
5 Journal of Geometry and Physics
5 Czechoslovak Mathematical Journal
5 Journal für die Reine und Angewandte Mathematik
5 Mathematische Nachrichten
5 Geometric and Functional Analysis. GAFA
5 Bulletin of the American Mathematical Society. New Series
5 Indagationes Mathematicae. New Series
5 Russian Mathematics
5 The Bulletin of Symbolic Logic
5 The Journal of Fourier Analysis and Applications
5 Journal of Applied Mathematics and Computing
5 International Journal of Geometric Methods in Modern Physics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 General Relativity and Gravitation
4 Mathematical Biosciences
...and 300 more Serials
all top 5

Cited in 60 Fields

587 Probability theory and stochastic processes (60-XX)
527 Operator theory (47-XX)
509 Functional analysis (46-XX)
479 Quantum theory (81-XX)
266 Partial differential equations (35-XX)
159 Mathematical logic and foundations (03-XX)
150 Statistical mechanics, structure of matter (82-XX)
149 Topological groups, Lie groups (22-XX)
120 Global analysis, analysis on manifolds (58-XX)
95 Measure and integration (28-XX)
85 Dynamical systems and ergodic theory (37-XX)
78 Real functions (26-XX)
67 Abstract harmonic analysis (43-XX)
65 Ordinary differential equations (34-XX)
61 Differential geometry (53-XX)
58 Nonassociative rings and algebras (17-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
48 Mechanics of particles and systems (70-XX)
47 Relativity and gravitational theory (83-XX)
45 Calculus of variations and optimal control; optimization (49-XX)
45 Fluid mechanics (76-XX)
39 Systems theory; control (93-XX)
38 Statistics (62-XX)
34 Numerical analysis (65-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
32 Information and communication theory, circuits (94-XX)
28 Computer science (68-XX)
26 Integral transforms, operational calculus (44-XX)
24 History and biography (01-XX)
24 Functions of a complex variable (30-XX)
23 General and overarching topics; collections (00-XX)
21 Potential theory (31-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
19 Special functions (33-XX)
17 Biology and other natural sciences (92-XX)
14 Combinatorics (05-XX)
13 Difference and functional equations (39-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
12 Algebraic geometry (14-XX)
12 Approximations and expansions (41-XX)
12 Manifolds and cell complexes (57-XX)
11 Group theory and generalizations (20-XX)
11 Several complex variables and analytic spaces (32-XX)
11 General topology (54-XX)
9 Number theory (11-XX)
9 Optics, electromagnetic theory (78-XX)
8 Associative rings and algebras (16-XX)
7 Operations research, mathematical programming (90-XX)
6 Category theory; homological algebra (18-XX)
6 Astronomy and astrophysics (85-XX)
5 Integral equations (45-XX)
5 Mechanics of deformable solids (74-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Field theory and polynomials (12-XX)
4 Sequences, series, summability (40-XX)
4 Geometry (51-XX)
4 Convex and discrete geometry (52-XX)
3 Geophysics (86-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)

Citations by Year

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