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## Shale, David

Compute Distance To:
 Author ID: shale.david Published as: Shale, D.; Shale, David
 Documents Indexed: 12 Publications since 1962

#### Co-Authors

 6 single-authored 5 Stinespring, W. Forrest 1 Forrest Stienspring, W.
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#### Serials

 5 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Journal of Mathematics and Mechanics 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Annals of Mathematics. Second Series

#### Fields

 6 Probability theory and stochastic processes (60-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH

12 Publications have been cited 264 times in 242 Documents Cited by Year
Linear symmetries of free boson fields. Zbl 0171.46901
Shale, David
1962
States of the Clifford algebra. Zbl 0178.49301
Shale, D.; Stinespring, W. F.
1964
Spinor representations of infinite orthogonal groups. Zbl 0132.36003
Shale, D.; Stinespring, W. F.
1965
Wiener processes. II. Zbl 0234.60048
Shale, David; Stinespring, W. Forrest
1970
Invariant integration over the infinite dimensional orthogonal group and related spaces. Zbl 0179.18904
Shale, D.
1966
Wiener processes. Zbl 0195.19101
Shale, David; Forrest Stienspring, W.
1968
Absolute continuity of Wiener processes. Zbl 0253.60052
Shale, David
1973
Integration over non-Euclidean geometries of infinite dimension. Zbl 0156.37603
Shale, D.; Stinespring, W. F.
1966
On geometric ideas which lie at the foundation of quantum theory. Zbl 0414.60100
Shale, David
1979
Random functions of Poisson type. Zbl 0408.60060
Shale, David
1979
Analysis over discrete spaces. Zbl 0298.60033
Shale, David
1974
Continuously splittable distributions in Hilbert space. Zbl 0154.18701
Shale, D.; Stinespring, W. F.
1966
On geometric ideas which lie at the foundation of quantum theory. Zbl 0414.60100
Shale, David
1979
Random functions of Poisson type. Zbl 0408.60060
Shale, David
1979
Analysis over discrete spaces. Zbl 0298.60033
Shale, David
1974
Absolute continuity of Wiener processes. Zbl 0253.60052
Shale, David
1973
Wiener processes. II. Zbl 0234.60048
Shale, David; Stinespring, W. Forrest
1970
Wiener processes. Zbl 0195.19101
Shale, David; Forrest Stienspring, W.
1968
Invariant integration over the infinite dimensional orthogonal group and related spaces. Zbl 0179.18904
Shale, D.
1966
Integration over non-Euclidean geometries of infinite dimension. Zbl 0156.37603
Shale, D.; Stinespring, W. F.
1966
Continuously splittable distributions in Hilbert space. Zbl 0154.18701
Shale, D.; Stinespring, W. F.
1966
Spinor representations of infinite orthogonal groups. Zbl 0132.36003
Shale, D.; Stinespring, W. F.
1965
States of the Clifford algebra. Zbl 0178.49301
Shale, D.; Stinespring, W. F.
1964
Linear symmetries of free boson fields. Zbl 0171.46901
Shale, David
1962
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#### Cited by 279 Authors

 9 Jørgensen, Palle E. T. 7 Shale, David 6 Carey, Alan L. 6 Palmer, John N. 5 Grillakis, Manoussos G. 5 Howe, Roger Evans 5 Machedon, Matei 5 Robinson, Paul Lee 4 Deckert, Dirk-André 4 Evans, David E. 4 Merkl, Franz 3 Dereziński, Jan 3 Dimofte, Tudor Dan 3 Mickelsson, Jouko 3 Neretin, Yuriĭ Aleksandrovich 3 Segal, Irving Ezra 3 Sergeev, Armen Glebovich 3 Vergne, Michèle 2 Accardi, Luigi 2 Alpay, Daniel Aron 2 Amour, Laurent 2 Arai, Asao 2 Araki, Huzihiro 2 Bach, Volker 2 Balslev, Erik 2 Bao, Yixin 2 Botvich, D. D. 2 Dias, Nuno Costa 2 Ding, Hongming 2 Duflo, Michel 2 Fannes, Mark 2 Garay, Luis J. 2 Gross, Kenneth Irwin 2 Gross, Leonard 2 Hudson, Robin Lyth 2 Hurst, Charles Angas 2 Ji, Un Cig 2 Kadison, Richard Vincent 2 Krýsl, Svatopluk 2 Kunze, Ray Alden 2 Lewin, Mathieu 2 Malyshev, Vadim Aleksandrovich 2 Margetis, Dionisios 2 Martín-Benito, Mercedes 2 Matsui, Taku 2 Nicola, Fabio 2 Nourrigat, Jean Francois 2 Obata, Nobuaki 2 Prata, João Nuno 2 Quaegebeur, Johan 2 Rask, Ole 2 Rawnsley, John H. 2 Reed, Michael C. 2 Satake, Ichirô 2 Schulz-Baldes, Hermann 2 Séré, Eric 2 Shimomura, Hiroaki 2 Slawny, Joseph 2 Staples, George Stacey 2 Sternberg, Shlomo 2 Størmer, Erling 2 Stoyanovskiĭ, Aleksandr Vasil’evich 2 Stratila, Serban Valentin 2 Streater, Raymond F. 2 Summers, Stephen Jeffrey 2 Tarski, Jan 2 Testard, Daniel H. 2 Tracy, Craig Arnold 2 Uhlenbrock, D. A. 2 Verbeure, André F. 2 Verch, Rainer 2 Voiculescu, Dan-Virgil 2 Wene, Gregory P. 2 Wolfe, John C. 2 Yamagami, Shigeru 2 Yamasaki, Yasuo 2 Zhu, Chen-Bo 1 Abdul-Rahman, Houssam M. 1 Ajzenshtadt, V. V. 1 Andersson, Lars Åke 1 Aparicio, S. 1 Arageorgis, Aristidis 1 Aubert, Anne-Marie 1 Avron, Joseph E. 1 Ayupov, Shavkat Abdullaevich 1 Bachelot, Alain 1 Bachmann, Sven 1 Baker, Barrie M. 1 Barbero G, J. Fernando 1 Beltiţă, Daniel 1 Ben-Benjamin, Jonathan S. 1 Berg, Michael C. 1 Bertini, Massimo 1 Bhat, B. V. Rajarama 1 Bianchi, Eugenio 1 Blattner, Robert J. 1 Borrajo Gutiérrez, Daniel E. 1 Borris, Markus 1 Bourne, Chris 1 Breteaux, Sébastien ...and 179 more Authors
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#### Cited in 76 Serials

 43 Journal of Functional Analysis 37 Communications in Mathematical Physics 19 Journal of Mathematical Physics 17 Publications of the Research Institute for Mathematical Sciences, Kyoto University 8 Transactions of the American Mathematical Society 7 Mathematische Annalen 6 Reviews in Mathematical Physics 4 Advances in Mathematics 4 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 4 Advances in Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 Functional Analysis and its Applications 3 Inventiones Mathematicae 3 Mathematische Zeitschrift 3 Acta Applicandae Mathematicae 3 Journal of High Energy Physics 2 Reports on Mathematical Physics 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Journal of Soviet Mathematics 2 Numerical Functional Analysis and Optimization 2 Indagationes Mathematicae. New Series 2 Russian Journal of Mathematical Physics 2 Annales Henri Poincaré 1 Archive for Rational Mechanics and Analysis 1 General Relativity and Gravitation 1 International Journal of Theoretical Physics 1 Journal d’Analyse Mathématique 1 Mathematical Biosciences 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Algebra 1 Journal of Differential Equations 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 Differential Geometry and its Applications 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Potential Analysis 1 Journal of Lie Theory 1 Representation Theory 1 Geometry & Topology 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Acta Mathematica Sinica. English Series 1 Living Reviews in Relativity 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Annales Scientifiques de l’École Normale Supérieure. Troisième Série 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 São Paulo Journal of Mathematical Sciences 1 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 1 Advances in Mathematical Physics 1 Journal of Pseudo-Differential Operators and Applications 1 Publications of the Research Institute for Mathematical Sciences, Series A 1 Il Nuovo Cimento, X. Series, B
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#### Cited in 39 Fields

 100 Quantum theory (81-XX) 79 Functional analysis (46-XX) 54 Topological groups, Lie groups (22-XX) 42 Operator theory (47-XX) 23 Probability theory and stochastic processes (60-XX) 21 Partial differential equations (35-XX) 19 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 16 Statistical mechanics, structure of matter (82-XX) 14 Abstract harmonic analysis (43-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Nonassociative rings and algebras (17-XX) 11 Measure and integration (28-XX) 11 Relativity and gravitational theory (83-XX) 8 Manifolds and cell complexes (57-XX) 7 Group theory and generalizations (20-XX) 5 Number theory (11-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)