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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; Nelson, J. E.; Nelson, J.
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

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 2,410 times in 2,121 Documents Cited by Year
Analytic vectors. Zbl 0091.10704
Nelson, Edward
369
1959
Dynamical theories of Brownian motion. Zbl 0165.58502
Nelson, Edward
342
1967
Notes on non-commutative integration. Zbl 0292.46030
Nelson, Edward
286
1974
The free Markoff field. Zbl 0273.60079
Nelson, Edward
226
1973
Feynman integrals and the Schrödinger equation. Zbl 0133.22905
Nelson, E.
195
1964
Quantum fluctuations. Zbl 0563.60001
Nelson, Edward
178
1985
Internal set theory: A new approach to nonstandard analysis. Zbl 0373.02040
Nelson, Edward
175
1977
Topics in dynamics. I: Flows. Zbl 0197.10702
Nelson, E.
96
1969
Construction of quantum fields from Markoff fields. Zbl 0252.60053
Nelson, Edward
91
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
46
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
25
1972
Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001
Nelson, E.
23
1967
Probability theory and Euclidean field theory. Zbl 0367.60108
Nelson, Edward
21
1973
Quantum fields and Markoff fields. Zbl 0279.60096
Nelson, Edward
20
1973
The syntax of nonstandard analysis. Zbl 0642.03040
Nelson, Edward
20
1988
A functional calculus using singular Laplace integrals. Zbl 0081.33501
Nelson, Edward
16
1958
Operants: A functional calculus for non-commuting operators. Zbl 0239.47011
Nelson, Edward
16
1970
Dynamical theories of Brownian motion. 2nd edition. Zbl 1375.60013
Nelson, Edward
16
2001
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
The real-interest-rate gap as an inflation indicator. Zbl 1065.91031
Neiss, Katharine S.; Nelson, Edward
5
2003
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
Representation of a Markovian semigroup and its infinitesimal generator. Zbl 0082.32603
Nelson, Edward
4
1958
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.
3
1988
Les ecoulements incompressibles d’energie finie. Zbl 0237.35015
Nelson, Edward
3
1963
Taking formalism seriously. Zbl 0797.03060
Nelson, Edward
2
1993
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
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
Critical diffusions. Zbl 0566.58037
Nelson, Edward
1
1985
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
1
2009
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
1
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
16
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.
3
1988
Radically elementary probability theory. Zbl 0651.60001
Nelson, Edward
46
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
178
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
175
1977
Notes on non-commutative integration. Zbl 0292.46030
Nelson, Edward
286
1974
The free Markoff field. Zbl 0273.60079
Nelson, Edward
226
1973
Construction of quantum fields from Markoff fields. Zbl 0252.60053
Nelson, Edward
91
1973
Probability theory and Euclidean field theory. Zbl 0367.60108
Nelson, Edward
21
1973
Quantum fields and Markoff fields. Zbl 0279.60096
Nelson, Edward
20
1973
Time-ordered operator products of sharp-time quadratic forms. Zbl 0239.47012
Nelson, Edward
25
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.
96
1969
Dynamical theories of Brownian motion. Zbl 0165.58502
Nelson, Edward
342
1967
Tensor analysis. Preliminary informal notes of university courses and seminars in mathematics. Zbl 0152.39001
Nelson, E.
23
1967
Feynman integrals and the Schrödinger equation. Zbl 0133.22905
Nelson, E.
195
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
369
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 2,036 Authors

53 Jørgensen, Palle E. T.
46 Albeverio, Sergio A.
41 Sukochev, Fedor Anatol’evich
23 Bikchentaev, Aĭrat Midkhatovich
17 Chilin, Vladimir Ivanovich
17 Dodds, Peter G.
15 Katz, Mikhail G.
14 de Pagter, Bernardus
14 Kanovei, Vladimir G.
14 Pavon, Michele
13 Gliklikh, Yuriĭ Evgen’evich
13 Høegh-Krohn, Raphael J.
13 Van den Berg, Imme Pieter
12 Kudaybergenov, Karimbergen K.
12 Simon, Barry
12 Zambrini, Jean-Claude
11 de la Llave, Rafael
11 Dodds, Theresa K.
11 Mazzucchi, Sonia
11 Randrianantoanina, Narcisse
11 Röckner, Michael
11 Sanders, Sam
10 Chang, Seung Jun
10 Goodman, Roe W.
10 Junge, Marius
10 Trapani, Camillo
9 Ber, Aleksey Feliksovich
9 Chung, Hyun Soo
9 Jefferies, Brian R. F.
9 Litvinov, Semyon N.
9 Neeb, Karl-Hermann
9 Wehr, Jan
9 Zegarlinski, Boguslaw
8 Ayupov, Shavkat Abdullaevich
8 Carlen, Eric Anders
8 Cresson, Jacky
8 Dürr, Detlef
8 Garbaczewski, Piotr
8 Ord, Garnet N.
8 Samoĭlenko, Yuriĭ Stefanovych
8 Triolo, Salvatore
8 Wallet, Guy
8 Zanin, Dmitriy V.
7 Bratteli, Ola
7 Faris, William G.
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 Fröhlich, Jürg Martin
6 Goldstein, Sheldon
6 Gross, Leonard
6 Hiai, Fumio
6 Huang, Jinghao
6 Jaffe, Arthur Michael
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 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 Chernoff, Paul R.
5 Doebner, Heinz-Dietrich
5 Ekhaguere, G. O. S.
5 Goldstein, Jerome Arthur
5 Gustafson, Karl Edwin
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.
5 Skoug, David
5 Sviridyuk, Georgiĭ Anatol’evich
5 Tian, Feng
5 Ugolini, Stefania
...and 1,936 more Authors
all top 5

Cited in 394 Serials

182 Journal of Functional Analysis
142 Journal of Mathematical Physics
121 Communications in Mathematical Physics
53 Transactions of the American Mathematical Society
41 Journal of Mathematical Analysis and Applications
36 Proceedings of the American Mathematical Society
34 Journal of Statistical Physics
31 International Journal of Theoretical Physics
31 Probability Theory and Related Fields
29 Letters in Mathematical Physics
25 Advances in Mathematics
23 Integral Equations and Operator Theory
23 Journal of Differential Equations
23 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
22 Mathematische Zeitschrift
22 Annals of Pure and Applied Logic
21 Chaos, Solitons and Fractals
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
19 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 Stochastic Processes and their Applications
19 Foundations of Physics
18 Reviews in Mathematical Physics
17 Physics Letters. A
15 Reports on Mathematical Physics
15 Functional Analysis and its Applications
15 Infinite Dimensional Analysis, Quantum Probability and Related Topics
14 Journal of Soviet Mathematics
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Physica A
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 Annals of Physics
11 Journal of Mathematical Sciences (New York)
10 Mathematische Annalen
10 Synthese
10 Journal of Economic Dynamics & Control
10 Annales Mathématiques Blaise Pascal
10 Foundations of Science
9 Archive for Rational Mechanics and Analysis
9 The Annals of Probability
9 Duke Mathematical Journal
9 Stochastic Analysis and Applications
9 Annales Henri Poincaré
9 Complex Analysis and Operator Theory
9 Banach Journal of Mathematical Analysis
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 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 Inventiones Mathematicae
6 Proceedings of the Japan Academy. Series A
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Semigroup Forum
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 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 Systems & Control Letters
5 Physica D
5 Geometric and Functional Analysis. GAFA
5 Indagationes Mathematicae. New Series
5 Russian Mathematics
5 The Bulletin of Symbolic Logic
5 The Journal of Fourier Analysis and Applications
5 Lobachevskii Journal of Mathematics
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
4 The Mathematical Intelligencer
...and 294 more Serials
all top 5

Cited in 60 Fields

576 Probability theory and stochastic processes (60-XX)
513 Operator theory (47-XX)
491 Functional analysis (46-XX)
468 Quantum theory (81-XX)
260 Partial differential equations (35-XX)
158 Mathematical logic and foundations (03-XX)
147 Statistical mechanics, structure of matter (82-XX)
146 Topological groups, Lie groups (22-XX)
117 Global analysis, analysis on manifolds (58-XX)
90 Measure and integration (28-XX)
79 Dynamical systems and ergodic theory (37-XX)
75 Real functions (26-XX)
64 Abstract harmonic analysis (43-XX)
62 Ordinary differential equations (34-XX)
57 Differential geometry (53-XX)
55 Nonassociative rings and algebras (17-XX)
52 Harmonic analysis on Euclidean spaces (42-XX)
47 Mechanics of particles and systems (70-XX)
44 Relativity and gravitational theory (83-XX)
43 Fluid mechanics (76-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
38 Statistics (62-XX)
38 Systems theory; control (93-XX)
34 Numerical analysis (65-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Information and communication theory, circuits (94-XX)
28 Computer science (68-XX)
24 Integral transforms, operational calculus (44-XX)
23 General and overarching topics; collections (00-XX)
23 Functions of a complex variable (30-XX)
22 History and biography (01-XX)
21 Potential theory (31-XX)
19 Special functions (33-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
17 Biology and other natural sciences (92-XX)
15 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 General topology (54-XX)
10 Group theory and generalizations (20-XX)
10 Several complex variables and analytic spaces (32-XX)
10 Manifolds and cell complexes (57-XX)
9 Number theory (11-XX)
9 Optics, electromagnetic theory (78-XX)
7 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 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 Integral equations (45-XX)
4 Convex and discrete geometry (52-XX)
3 Geometry (51-XX)
3 Geophysics (86-XX)
1 \(K\)-theory (19-XX)
1 Algebraic topology (55-XX)

Citations by Year

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