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Stone, Marshall Harvey

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Author ID: stone.marshall-harvey Recent zbMATH articles by "Stone, Marshall Harvey"
Published as: Stone, M. H.; Stone, Marshall H.; Stone, Marshall Harvey; Stone, Marshall; Stone, M.
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 110 Publications since 1924, including 3 Books
Biographic References: 8 Publications
Co-Authors: 5 Co-Authors with 9 Joint Publications
112 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 1,675 times in 1,464 Documents Cited by Year
The theory of representations for Boolean algebras. Zbl 0014.34002
Stone, M. H.
250
1936
Applications of the theory of Boolean rings to general topology. Zbl 0017.13502
Stone, M. H.
241
1937
Linear transformations in Hilbert space and their applications to analysis. Zbl 0005.40003
Stone, Marshall Harvey
206
1932
Applications of the theory of Boolean rings to general topology. JFM 63.1173.01
Stone, M. H.
93
1937
Topological representations of distributive lattices and Brouwerian logics. Zbl 0018.00303
Stone, M. H.
89
1937
On one-parameter unitary groups in Hilbert space. Zbl 0005.16403
Stone, M. H.
88
1932
The theory of representations for Boolean algebras. JFM 62.0033.04
Stone, M. H.
71
1936
Boundedness properties in function-lattices. Zbl 0032.16901
Stone, M. H.
67
1949
Linear transformations in Hilbert space and their applications to analysis. JFM 58.0420.02
Stone, Marshall Harvey
51
1932
Topological representations of distributive lattices and Brouwerian logics. JFM 63.0830.01
Stone, M. H.
44
1937
Hilbert space methods in conformal mapping. Zbl 0118.29903
Stone, M. H.
38
1961
Notes on integration. I. Zbl 0031.01402
Stone, M. H.
36
1948
Linear transformations in Hilbert space. Reprint of the 1932 orig. Zbl 0933.47001
Stone, Marshall Harvey
31
1990
Linear transformations in Hilbert space. III: Operational methods and group theory. JFM 56.0357.01
Stone, M. H.
29
1930
On unbounded operators in Hilbert space. Zbl 0047.11102
Stone, M. H.
27
1952
Postulates for the barycentric calculus. Zbl 0037.25002
Stone, M. H.
26
1949
A general theory of spectra. I. Zbl 0063.07208
Stone, M. H.
26
1940
Irregular differential systems of order two and the related expansion problems. JFM 53.0429.01
Stone, M. H.
25
1927
On one-parameter unitary groups in Hilbert space. JFM 58.0424.01
Stone, M. H.
22
1932
A general theory of spectra. II. Zbl 0063.07209
Stone, M. H.
19
1941
Algebraic characterizations of special Boolean rings. Zbl 0017.33902
Stone, M. H.
17
1937
The determination of representative elements in the residual classes of a Boolean algebra. Zbl 0012.24403
von Neumann, J.; Stone, M. H.
16
1935
A generalized Weierstraß approximation theorem. Zbl 0147.11702
Stone, M. H.
13
1962
Boolean algebras and their application to topology. Zbl 0010.08104
Stone, M. H.
12
1934
Postulates for Boolean algebras and generalized Boolean algebras. Zbl 0012.29002
Stone, M. H.
12
1935
Certain integrals analogous to Fourier integrals. JFM 54.0476.01
Stone, M. H.
10
1928
Notes on integration. II. Zbl 0034.02903
Stone, M. H.
10
1948
Applications of Boolean algebras to topology. Zbl 0016.18201
Stone, M. H.
8
1936
On the compactification of topological spaces. Zbl 0031.41701
Stone, M. H.
8
1948
Subsumption of the theory of Boolean algebras under the theory of rings. Zbl 0011.05104
Stone, M. H.
6
1935
Developments in Hermite polynomials. JFM 53.0271.01
Stone, M. H.
6
1927
Elementary proof of the spectral theorem. Zbl 0016.03001
Lengyel, B. A.; Stone, M. H.
6
1936
The representation of Boolean algebras. Zbl 0020.34204
Stone, M. H.
6
1938
The representation of Boolean algebras. JFM 64.0030.04
Stone, M. H.
5
1938
Notes on integration. III. Zbl 0034.03001
Stone, M. H.
5
1948
Algebraic characterizations of special Boolean rings. JFM 63.0872.02
Stone, M. H.
4
1937
Elementary proofs of some known theorems of the theory of complex Euclidean spaces. Zbl 0016.40501
Stone, M. H.; Tamarkin, J. D.
4
1937
On a theorem of Pólya. Zbl 0031.05702
Stone, M. H.
4
1948
Notes on integration. IV. Zbl 0034.03101
Stone, M. H.
4
1949
Applications of Boolean algebras to topology. JFM 62.0687.02
Stone, M. H.
3
1936
The expansion problems associated with regular differential systems of the second order. JFM 53.0420.01
Stone, M. H.
3
1927
An unusual type of expansion problem. JFM 50.0313.01
Stone, M. H.
3
1924
A general theory of spectra. I. JFM 66.1284.03
Stone, M. H.
3
1940
Postulates for generalizations of Hilbert space. Zbl 0051.33802
Rubin, H.; Stone, M. H.
3
1953
Postulates for Boolean algebras and generalized Boolean algebras. JFM 61.0975.05
Stone, M. H.
2
1935
Hausdorff’s theorem concerning Hermitian forms. JFM 56.0127.04
Stone, M. H.
2
1930
Expansions in Bessel functions. JFM 53.0337.02
Stone, M. H.
2
1927
A comparision of the series of Fourier and Birkhoff. JFM 53.0419.03
Stone, M. H.
2
1926
The future of mathematics. Zbl 0079.00101
Stone, Marshall H.
2
1957
The revolution in mathematics. Zbl 0100.00105
Stone, Marshall
2
1961
Reminiscences of mathematics at Chicago. Zbl 0682.01014
Stone, Marshall H.
1
1989
Boolean algebras and their application to topology. JFM 60.0108.02
Stone, M. H.
1
1934
Remarks on a paper of Dr. Tautz. JFM 57.0529.02
Tamarkin, J. D.; Stone, M. H.
1
1931
Unitary transformations in abstract Hilbert space. JFM 55.0245.01
Stone, M. H.
1
1929
The convergence of Bessel’s series. JFM 52.0464.08
Stone, M. H.
1
1926
Developments in Legendre polynomials. JFM 52.0279.03
Stone, M. H.
1
1926
A general theory of spectra. II. JFM 67.0413.03
Stone, M. H.
1
1941
A note on the theory of infinite series. Zbl 0002.18802
Stone, M. H.
1
1931
Note on formal logic. Zbl 0017.14504
Stone, M. H.
1
1937
Pseudo-norms and partial orderings in Abelian groups. Zbl 0029.10501
Stone, M. H.
1
1947
Free Boolean rings and algebras. Zbl 0057.02401
Stone, M. H.
1
1954
On the representation theorem for Boolean algebras. Zbl 0060.06502
Dunford, Nelson; Stone, M. H.
1
1941
Mathematics and the future of science. Zbl 0077.00202
Stone, Marshall H.
1
1957
Linear transformations in Hilbert space. Reprint of the 1932 orig. Zbl 0933.47001
Stone, Marshall Harvey
31
1990
Reminiscences of mathematics at Chicago. Zbl 0682.01014
Stone, Marshall H.
1
1989
A generalized Weierstraß approximation theorem. Zbl 0147.11702
Stone, M. H.
13
1962
Hilbert space methods in conformal mapping. Zbl 0118.29903
Stone, M. H.
38
1961
The revolution in mathematics. Zbl 0100.00105
Stone, Marshall
2
1961
The future of mathematics. Zbl 0079.00101
Stone, Marshall H.
2
1957
Mathematics and the future of science. Zbl 0077.00202
Stone, Marshall H.
1
1957
Free Boolean rings and algebras. Zbl 0057.02401
Stone, M. H.
1
1954
Postulates for generalizations of Hilbert space. Zbl 0051.33802
Rubin, H.; Stone, M. H.
3
1953
On unbounded operators in Hilbert space. Zbl 0047.11102
Stone, M. H.
27
1952
Boundedness properties in function-lattices. Zbl 0032.16901
Stone, M. H.
67
1949
Postulates for the barycentric calculus. Zbl 0037.25002
Stone, M. H.
26
1949
Notes on integration. IV. Zbl 0034.03101
Stone, M. H.
4
1949
Notes on integration. I. Zbl 0031.01402
Stone, M. H.
36
1948
Notes on integration. II. Zbl 0034.02903
Stone, M. H.
10
1948
On the compactification of topological spaces. Zbl 0031.41701
Stone, M. H.
8
1948
Notes on integration. III. Zbl 0034.03001
Stone, M. H.
5
1948
On a theorem of Pólya. Zbl 0031.05702
Stone, M. H.
4
1948
Pseudo-norms and partial orderings in Abelian groups. Zbl 0029.10501
Stone, M. H.
1
1947
A general theory of spectra. II. Zbl 0063.07209
Stone, M. H.
19
1941
A general theory of spectra. II. JFM 67.0413.03
Stone, M. H.
1
1941
On the representation theorem for Boolean algebras. Zbl 0060.06502
Dunford, Nelson; Stone, M. H.
1
1941
A general theory of spectra. I. Zbl 0063.07208
Stone, M. H.
26
1940
A general theory of spectra. I. JFM 66.1284.03
Stone, M. H.
3
1940
The representation of Boolean algebras. Zbl 0020.34204
Stone, M. H.
6
1938
The representation of Boolean algebras. JFM 64.0030.04
Stone, M. H.
5
1938
Applications of the theory of Boolean rings to general topology. Zbl 0017.13502
Stone, M. H.
241
1937
Applications of the theory of Boolean rings to general topology. JFM 63.1173.01
Stone, M. H.
93
1937
Topological representations of distributive lattices and Brouwerian logics. Zbl 0018.00303
Stone, M. H.
89
1937
Topological representations of distributive lattices and Brouwerian logics. JFM 63.0830.01
Stone, M. H.
44
1937
Algebraic characterizations of special Boolean rings. Zbl 0017.33902
Stone, M. H.
17
1937
Algebraic characterizations of special Boolean rings. JFM 63.0872.02
Stone, M. H.
4
1937
Elementary proofs of some known theorems of the theory of complex Euclidean spaces. Zbl 0016.40501
Stone, M. H.; Tamarkin, J. D.
4
1937
Note on formal logic. Zbl 0017.14504
Stone, M. H.
1
1937
The theory of representations for Boolean algebras. Zbl 0014.34002
Stone, M. H.
250
1936
The theory of representations for Boolean algebras. JFM 62.0033.04
Stone, M. H.
71
1936
Applications of Boolean algebras to topology. Zbl 0016.18201
Stone, M. H.
8
1936
Elementary proof of the spectral theorem. Zbl 0016.03001
Lengyel, B. A.; Stone, M. H.
6
1936
Applications of Boolean algebras to topology. JFM 62.0687.02
Stone, M. H.
3
1936
The determination of representative elements in the residual classes of a Boolean algebra. Zbl 0012.24403
von Neumann, J.; Stone, M. H.
16
1935
Postulates for Boolean algebras and generalized Boolean algebras. Zbl 0012.29002
Stone, M. H.
12
1935
Subsumption of the theory of Boolean algebras under the theory of rings. Zbl 0011.05104
Stone, M. H.
6
1935
Postulates for Boolean algebras and generalized Boolean algebras. JFM 61.0975.05
Stone, M. H.
2
1935
Boolean algebras and their application to topology. Zbl 0010.08104
Stone, M. H.
12
1934
Boolean algebras and their application to topology. JFM 60.0108.02
Stone, M. H.
1
1934
Linear transformations in Hilbert space and their applications to analysis. Zbl 0005.40003
Stone, Marshall Harvey
206
1932
On one-parameter unitary groups in Hilbert space. Zbl 0005.16403
Stone, M. H.
88
1932
Linear transformations in Hilbert space and their applications to analysis. JFM 58.0420.02
Stone, Marshall Harvey
51
1932
On one-parameter unitary groups in Hilbert space. JFM 58.0424.01
Stone, M. H.
22
1932
Remarks on a paper of Dr. Tautz. JFM 57.0529.02
Tamarkin, J. D.; Stone, M. H.
1
1931
A note on the theory of infinite series. Zbl 0002.18802
Stone, M. H.
1
1931
Linear transformations in Hilbert space. III: Operational methods and group theory. JFM 56.0357.01
Stone, M. H.
29
1930
Hausdorff’s theorem concerning Hermitian forms. JFM 56.0127.04
Stone, M. H.
2
1930
Unitary transformations in abstract Hilbert space. JFM 55.0245.01
Stone, M. H.
1
1929
Certain integrals analogous to Fourier integrals. JFM 54.0476.01
Stone, M. H.
10
1928
Irregular differential systems of order two and the related expansion problems. JFM 53.0429.01
Stone, M. H.
25
1927
Developments in Hermite polynomials. JFM 53.0271.01
Stone, M. H.
6
1927
The expansion problems associated with regular differential systems of the second order. JFM 53.0420.01
Stone, M. H.
3
1927
Expansions in Bessel functions. JFM 53.0337.02
Stone, M. H.
2
1927
A comparision of the series of Fourier and Birkhoff. JFM 53.0419.03
Stone, M. H.
2
1926
The convergence of Bessel’s series. JFM 52.0464.08
Stone, M. H.
1
1926
Developments in Legendre polynomials. JFM 52.0279.03
Stone, M. H.
1
1926
An unusual type of expansion problem. JFM 50.0313.01
Stone, M. H.
3
1924
all top 5

Cited by 1,507 Authors

22 Bezhanishvili, Guram
21 Jørgensen, Palle E. T.
11 Dimov, Georgi D.
11 Galego, Elói Medina
10 Ekici, Erdal
10 Gehrke, Mai
10 Noiri, Takashi
8 Foulis, David James
8 Vakarelov, Dimiter
7 Davey, Brian A.
7 Foster, Alfred L.
7 Vechtomov, Evgeniĭ Mikhaĭlovich
6 Bezhanishvili, Nick
6 Dorsett, Charles Irwin
6 Friedrichs, Kurt Otto
6 Giannakis, Dimitrios
6 Gutiérrez García, Javier
6 Henriksen, Melvin
6 Li, Qingguo
6 Locker, John
6 Morandi, Patrick J.
6 Reggio, Luca
6 van Gool, Samuel Jacob
6 von Neumann, John
5 de Branges de Bourcia, Louis
5 de Castro, Gilles Gonçalves
5 Dunn, Jon Michael
5 Erné, Marcel
5 Goldblatt, Robert Ian
5 Hewitt, Edwin
5 Hofmann, Dirk
5 Kudryavtseva, Ganna
5 Marra, Vincenzo
5 Nikodym, Otton Marcin
5 Njåstad, Olav
5 Ravsky, Alex
5 Rincón-Villamizar, Michael A.
5 Van Assche, Walter
5 Zakharov, Valeriĭ Konstantinovich
4 Al-Omeri, Wadei Faris
4 Allahverdiev, Bilender Paşaoğlu
4 Bauer, Heinz
4 Bice, Tristan Matthew
4 Bratteli, Ola
4 Brink, Chris
4 Carroll, Robert Wayne
4 Chihara, Theodore Seio
4 Das, Suddhasattwa
4 de Prada Vicente, María Angeles
4 Düntsch, Ivo
4 Halmos, Paul Richard
4 Haviar, Miroslav
4 Hosseini, Maliheh
4 Ifantis, Evangelos K.
4 Jacobs, Bart
4 Jansana, Ramon
4 Kato, Tosio
4 Kerkhoff, Sebastian
4 Lang, Patrick M.
4 Lawson, Mark Verus
4 Maharam Stone, Dorothy
4 Masani, Pesi Rustom
4 Michal, Aristotle Demetrius
4 Mikhalëv, Aleksandr Vasil’evich
4 Olberding, Bruce M.
4 Pedersen, Steen
4 Picado, Jorge
4 Porto da Silva, André Luis
4 Rewitzky, Ingrid
4 Robinson, Derek W.
4 Rosas, Ennis R.
4 Sebestyén, Zoltán
4 Solovyov, Sergey A.
4 Stochel, Jan
4 Tian, Feng
4 Tkachenko, Mikhail Gelievich
4 Tsinakis, Constantine
4 Venema, Yde
4 Wecken, Franz J.
4 Winter, Michael
4 Xie, Lihong
4 Xu, Yuan
4 Zheng, Bentuo
4 Znojil, Miloslav
3 Akhtyamov, Azamat Moukhtarovich
3 Beer, Gerald Alan
3 Bennett, Mary Katherine
3 Bimbó, Katalin
3 Bingham, Nicholas Hugh
3 Boava, Giuliano
3 Bogdanowicz, Witold M.
3 Bonsangue, Marcello Maria
3 Celani, Sergio Arturo
3 Cignoli, Roberto
3 Coquand, Thierry
3 Curi, Giovanni
3 de Glas, Michel
3 de Lacerda Mortari, Fernando
3 Demirci, Mustafa
3 Dilworth, Robert Palmer
...and 1,407 more Authors
all top 5

Cited in 314 Serials

108 Transactions of the American Mathematical Society
64 Journal of Mathematical Analysis and Applications
58 Proceedings of the American Mathematical Society
54 Mathematische Annalen
44 Bulletin of the American Mathematical Society
41 Topology and its Applications
40 Algebra Universalis
38 Mathematische Zeitschrift
28 Journal of Functional Analysis
24 Fuzzy Sets and Systems
20 Journal of Pure and Applied Algebra
20 Proceedings of the Japan Academy
19 Archiv der Mathematik
19 Studia Logica
19 Applied Categorical Structures
18 Journal of Mathematical Physics
16 Chaos, Solitons and Fractals
16 Journal of Computational and Applied Mathematics
16 Journal of Mathematical Sciences (New York)
15 Annals of Pure and Applied Logic
15 Order
13 Advances in Mathematics
13 Journal of Differential Equations
13 Semigroup Forum
12 International Journal of Theoretical Physics
12 Mathematica Slovaca
11 Communications in Mathematical Physics
11 Siberian Mathematical Journal
11 Linear Algebra and its Applications
10 Israel Journal of Mathematics
10 Rocky Mountain Journal of Mathematics
10 Acta Mathematica
10 Journal of Algebra
10 Acta Mathematica Hungarica
9 Bulletin de la Société Mathématique de France
9 Czechoslovak Mathematical Journal
8 Compositio Mathematica
8 Journal of Philosophical Logic
8 Foundations of Physics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Journal of Approximation Theory
7 The Journal of Symbolic Logic
7 Results in Mathematics
7 Logical Methods in Computer Science
6 Archive for Rational Mechanics and Analysis
6 Discrete Mathematics
6 Integral Equations and Operator Theory
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Theoretical Computer Science
6 Tohoku Mathematical Journal. Second Series
6 Positivity
6 Differential Equations
5 The Mathematical Intelligencer
5 Annales de l’Institut Fourier
5 Glasgow Mathematical Journal
5 Journal of Soviet Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 Expositiones Mathematicae
5 Indagationes Mathematicae. New Series
5 Journal of the Australian Mathematical Society
5 Boletim da Sociedade Paranaense de Matemática. Terceira Série
5 European Journal of Pure and Applied Mathematics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 Universal Journal of Mathematics and Mathematical Sciences
4 Computers & Mathematics with Applications
4 Mathematical Notes
4 Monatshefte für Mathematik
4 Quaestiones Mathematicae
4 Rendiconti del Seminario Matematico della Università di Padova
4 Constructive Approximation
4 International Journal of Approximate Reasoning
4 Historia Mathematica
4 Annals of Mathematics and Artificial Intelligence
4 Central European Journal of Mathematics
4 Journal of Applied Logic
4 Mediterranean Journal of Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
4 Asian-European Journal of Mathematics
4 Applied General Topology
3 International Journal of Modern Physics A
3 Acta Mathematica Academiae Scientiarum Hungaricae
3 Artificial Intelligence
3 Bulletin of the Australian Mathematical Society
3 International Journal of Engineering Science
3 Journal d’Analyse Mathématique
3 Reports on Mathematical Physics
3 Theoretical and Mathematical Physics
3 Ukrainian Mathematical Journal
3 Arkiv för Matematik
3 Applied Mathematics and Computation
3 Demonstratio Mathematica
3 International Journal of Mathematics and Mathematical Sciences
3 Manuscripta Mathematica
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Ergodic Theory and Dynamical Systems
3 Acta Applicandae Mathematicae
3 Forum Mathematicum
3 Aequationes Mathematicae
3 Applied and Computational Harmonic Analysis
3 Theory and Applications of Categories
...and 214 more Serials
all top 5

Cited in 61 Fields

281 General topology (54-XX)
280 Order, lattices, ordered algebraic structures (06-XX)
227 Operator theory (47-XX)
193 Functional analysis (46-XX)
184 Mathematical logic and foundations (03-XX)
100 Quantum theory (81-XX)
97 Category theory; homological algebra (18-XX)
67 Ordinary differential equations (34-XX)
61 Computer science (68-XX)
52 Measure and integration (28-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
47 General algebraic systems (08-XX)
44 Topological groups, Lie groups (22-XX)
41 Partial differential equations (35-XX)
37 Group theory and generalizations (20-XX)
30 Probability theory and stochastic processes (60-XX)
29 Commutative algebra (13-XX)
28 Functions of a complex variable (30-XX)
27 History and biography (01-XX)
27 Special functions (33-XX)
23 Real functions (26-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
21 Dynamical systems and ergodic theory (37-XX)
19 Associative rings and algebras (16-XX)
19 Approximations and expansions (41-XX)
19 Integral transforms, operational calculus (44-XX)
17 Abstract harmonic analysis (43-XX)
16 Numerical analysis (65-XX)
15 Difference and functional equations (39-XX)
14 Combinatorics (05-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Number theory (11-XX)
11 Information and communication theory, circuits (94-XX)
9 Algebraic geometry (14-XX)
9 Convex and discrete geometry (52-XX)
9 Differential geometry (53-XX)
8 General and overarching topics; collections (00-XX)
8 Field theory and polynomials (12-XX)
8 Statistics (62-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Global analysis, analysis on manifolds (58-XX)
6 Sequences, series, summability (40-XX)
6 Fluid mechanics (76-XX)
6 Relativity and gravitational theory (83-XX)
5 Integral equations (45-XX)
5 Mechanics of particles and systems (70-XX)
5 Mechanics of deformable solids (74-XX)
4 Potential theory (31-XX)
4 Systems theory; control (93-XX)
3 Algebraic topology (55-XX)
3 Manifolds and cell complexes (57-XX)
3 Optics, electromagnetic theory (78-XX)
2 Nonassociative rings and algebras (17-XX)
2 Geometry (51-XX)
2 Geophysics (86-XX)
2 Biology and other natural sciences (92-XX)
2 Mathematics education (97-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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