Pontryagin duality (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Pontryagin duality" in English language version.

refsWebsite

Global rank English rank

15doi.org

2^nd place

11ams.org

451^st place

277^th place

3projecteuclid.org

3,707^th place

2,409^th place

3semanticscholar.org

11^th place

8^th place

2handle.net

102^nd place

76^th place

2jstor.org

26^th place

20^th place

2arxiv.org

69^th place

59^th place

1encyclopediaofmath.org

3,863^rd place

2,637^th place

1mathnet.ru

8,783^rd place

low place

1numdam.org

8,650^th place

7,668^th place

ams.org

mathscinet.ams.org

Hewitt & Ross 1963, (24.2) Hewitt, Edwin; Ross, Kenneth A. (1963). Abstract Harmonic Analysis. Vol. I: Structure of topological groups. Integration theory, group representations. Die Grundlehren der mathematischen Wissenschaften. Vol. 115. Berlin-Göttingen-Heidelberg: Springer-Verlag. ISBN 978-0-387-94190-5. MR 0156915. {{cite book}}: ISBN / Date incompatibility (help)
Chasco, Dikranjan & Martín-Peinador 2012 Chasco, María Jesús; Dikranjan, Dikran; Martín-Peinador, Elena (2012). "A survey on reflexivity of abelian topological groups". Topology and Its Applications. 159 (9): 2290–2309. doi:10.1016/j.topol.2012.04.012. MR 2921819.
Kaplan 1948 Kaplan, Samuel (1948). "Extensions of the Pontrjagin duality. Part I: infinite products". Duke Mathematical Journal. 15: 649–658. doi:10.1215/S0012-7094-48-01557-9. MR 0026999.
Kaplan 1950 Kaplan, Samuel (1950). "Extensions of the Pontrjagin duality. Part II: direct and inverse limits". Duke Mathematical Journal. 17: 419–435. doi:10.1215/S0012-7094-50-01737-6. MR 0049906.
Ardanza-Trevijano & Chasco 2005 Ardanza-Trevijano, Sergio; Chasco, María Jesús (2005). "The Pontryagin duality of sequential limits of topological Abelian groups". Journal of Pure and Applied Algebra. 202 (1–3): 11–21. doi:10.1016/j.jpaa.2005.02.006. hdl:10171/1586. MR 2163398.
Smith 1952 Smith, Marianne F. (1952). "The Pontrjagin duality theorem in linear spaces". Annals of Mathematics. 56 (2): 248–253. doi:10.2307/1969798. JSTOR 1969798. MR 0049479.
Hewitt & Ross 1970 Hewitt, Edwin; Ross, Kenneth A. (1970). Abstract Harmonic Analysis. Vol. 2. Springer. ISBN 978-3-662-24595-8. MR 0262773.
Kirillov 1976 Kirillov, Alexandre A. (1976) [1972]. Elements of the theory of representations. Grundlehren der Mathematischen Wissenschaften. Vol. 220. Berlin, New York: Springer-Verlag. ISBN 978-0-387-07476-4. MR 0412321.
Kirillov 1976, 12.3 Kirillov, Alexandre A. (1976) [1972]. Elements of the theory of representations. Grundlehren der Mathematischen Wissenschaften. Vol. 220. Berlin, New York: Springer-Verlag. ISBN 978-0-387-07476-4. MR 0412321.
Enock & Schwartz 1992 Enock, Michel; Schwartz, Jean-Marie (1992). Kac Algebras and Duality of Locally Compact Groups. With a preface by Alain Connes. With a postface by Adrian Ocneanu. Berlin: Springer-Verlag. doi:10.1007/978-3-662-02813-1. ISBN 978-3-540-54745-7. MR 1215933.
Akbarov 2009, 2017a, 2017b Akbarov, Sergei S. (2009). "Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity". Journal of Mathematical Sciences. 162 (4): 459–586. arXiv:0806.3205. doi:10.1007/s10958-009-9646-1. S2CID 115153766. Akbarov, Sergei S. (2017a). "Continuous and smooth envelopes of topological algebras. Part 1". Journal of Mathematical Sciences. 227 (5): 531–668. arXiv:1303.2424. doi:10.1007/s10958-017-3599-6. MR 3790317. S2CID 126018582. Akbarov, Sergei S. (2017b). "Continuous and smooth envelopes of topological algebras. Part 2". Journal of Mathematical Sciences. 227 (6): 669–789. arXiv:1303.2424. doi:10.1007/s10958-017-3600-4. MR 3796205. S2CID 128246373.

arxiv.org

Akbarov 2009 Akbarov, Sergei S. (2009). "Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity". Journal of Mathematical Sciences. 162 (4): 459–586. arXiv:0806.3205. doi:10.1007/s10958-009-9646-1. S2CID 115153766.
Akbarov 2009, 2017a, 2017b Akbarov, Sergei S. (2009). "Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity". Journal of Mathematical Sciences. 162 (4): 459–586. arXiv:0806.3205. doi:10.1007/s10958-009-9646-1. S2CID 115153766. Akbarov, Sergei S. (2017a). "Continuous and smooth envelopes of topological algebras. Part 1". Journal of Mathematical Sciences. 227 (5): 531–668. arXiv:1303.2424. doi:10.1007/s10958-017-3599-6. MR 3790317. S2CID 126018582. Akbarov, Sergei S. (2017b). "Continuous and smooth envelopes of topological algebras. Part 2". Journal of Mathematical Sciences. 227 (6): 669–789. arXiv:1303.2424. doi:10.1007/s10958-017-3600-4. MR 3796205. S2CID 128246373.

doi.org

Roeder 1974 Roeder, David W. (1974). "Category theory applied to Pontryagin duality". Pacific Journal of Mathematics. 52 (2): 519–527. doi:10.2140/pjm.1974.52.519.
Chasco, Dikranjan & Martín-Peinador 2012 Chasco, María Jesús; Dikranjan, Dikran; Martín-Peinador, Elena (2012). "A survey on reflexivity of abelian topological groups". Topology and Its Applications. 159 (9): 2290–2309. doi:10.1016/j.topol.2012.04.012. MR 2921819.
Kaplan 1948 Kaplan, Samuel (1948). "Extensions of the Pontrjagin duality. Part I: infinite products". Duke Mathematical Journal. 15: 649–658. doi:10.1215/S0012-7094-48-01557-9. MR 0026999.
Kaplan 1950 Kaplan, Samuel (1950). "Extensions of the Pontrjagin duality. Part II: direct and inverse limits". Duke Mathematical Journal. 17: 419–435. doi:10.1215/S0012-7094-50-01737-6. MR 0049906.
Venkataraman 1975 Venkataraman, Rangachari (1975). "Extensions of Pontryagin Duality". Mathematische Zeitschrift. 143 (2): 105–112. doi:10.1007/BF01187051. S2CID 123627326.
Ardanza-Trevijano & Chasco 2005 Ardanza-Trevijano, Sergio; Chasco, María Jesús (2005). "The Pontryagin duality of sequential limits of topological Abelian groups". Journal of Pure and Applied Algebra. 202 (1–3): 11–21. doi:10.1016/j.jpaa.2005.02.006. hdl:10171/1586. MR 2163398.
Martín-Peinador 1995 Martín-Peinador, Elena (1995). "A reflexible admissible topological group must be locally compact". Proceedings of the American Mathematical Society. 123 (11): 3563–3566. doi:10.2307/2161108. hdl:10338.dmlcz/127641. JSTOR 2161108.
Smith 1952 Smith, Marianne F. (1952). "The Pontrjagin duality theorem in linear spaces". Annals of Mathematics. 56 (2): 248–253. doi:10.2307/1969798. JSTOR 1969798. MR 0049479.
Brudovskiĭ 1967 Brudovskiĭ, B. S. (1967). "On k- and c-reflexivity of locally convex vector spaces". Lithuanian Mathematical Journal. 7 (1): 17–21. doi:10.15388/LMJ.1967.19927.
Waterhouse 1968 Waterhouse, William C. (1968). "Dual groups of vector spaces". Pacific Journal of Mathematics. 26 (1): 193–196. doi:10.2140/pjm.1968.26.193.
Brauner 1973 Brauner, Kalman (1973). "Duals of Fréchet spaces and a generalization of the Banach–Dieudonné theorem". Duke Mathematical Journal. 40 (4): 845–855. doi:10.1215/S0012-7094-73-04078-7.
Akbarov 2009 Akbarov, Sergei S. (2009). "Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity". Journal of Mathematical Sciences. 162 (4): 459–586. arXiv:0806.3205. doi:10.1007/s10958-009-9646-1. S2CID 115153766.
Enock & Schwartz 1992 Enock, Michel; Schwartz, Jean-Marie (1992). Kac Algebras and Duality of Locally Compact Groups. With a preface by Alain Connes. With a postface by Adrian Ocneanu. Berlin: Springer-Verlag. doi:10.1007/978-3-662-02813-1. ISBN 978-3-540-54745-7. MR 1215933.
Kustermans & Vaes 2000 Kustermans, J.; Vaes, S. (2000). "Locally Compact Quantum Groups". Annales Scientifiques de l'École Normale Supérieure. 33 (6): 837–934. doi:10.1016/s0012-9593(00)01055-7.
Akbarov 2009, 2017a, 2017b Akbarov, Sergei S. (2009). "Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity". Journal of Mathematical Sciences. 162 (4): 459–586. arXiv:0806.3205. doi:10.1007/s10958-009-9646-1. S2CID 115153766. Akbarov, Sergei S. (2017a). "Continuous and smooth envelopes of topological algebras. Part 1". Journal of Mathematical Sciences. 227 (5): 531–668. arXiv:1303.2424. doi:10.1007/s10958-017-3599-6. MR 3790317. S2CID 126018582. Akbarov, Sergei S. (2017b). "Continuous and smooth envelopes of topological algebras. Part 2". Journal of Mathematical Sciences. 227 (6): 669–789. arXiv:1303.2424. doi:10.1007/s10958-017-3600-4. MR 3796205. S2CID 128246373.

encyclopediaofmath.org

Onishchik 1984 Onishchik, A.L. (1984), "Pontrjagin duality", Encyclopedia of Mathematics, 4: 481–482, ISBN 978-1402006098

handle.net

hdl.handle.net

Ardanza-Trevijano & Chasco 2005 Ardanza-Trevijano, Sergio; Chasco, María Jesús (2005). "The Pontryagin duality of sequential limits of topological Abelian groups". Journal of Pure and Applied Algebra. 202 (1–3): 11–21. doi:10.1016/j.jpaa.2005.02.006. hdl:10171/1586. MR 2163398.
Martín-Peinador 1995 Martín-Peinador, Elena (1995). "A reflexible admissible topological group must be locally compact". Proceedings of the American Mathematical Society. 123 (11): 3563–3566. doi:10.2307/2161108. hdl:10338.dmlcz/127641. JSTOR 2161108.

jstor.org

Martín-Peinador 1995 Martín-Peinador, Elena (1995). "A reflexible admissible topological group must be locally compact". Proceedings of the American Mathematical Society. 123 (11): 3563–3566. doi:10.2307/2161108. hdl:10338.dmlcz/127641. JSTOR 2161108.
Smith 1952 Smith, Marianne F. (1952). "The Pontrjagin duality theorem in linear spaces". Annals of Mathematics. 56 (2): 248–253. doi:10.2307/1969798. JSTOR 1969798. MR 0049479.

mathnet.ru

Akbarov & Shavgulidze 2003 Akbarov, Sergei S.; Shavgulidze, Evgeniy T. (2003). "On two classes of spaces reflexive in the sense of Pontryagin". Matematicheskii Sbornik. 194 (10): 3–26.

numdam.org

Kustermans & Vaes 2000 Kustermans, J.; Vaes, S. (2000). "Locally Compact Quantum Groups". Annales Scientifiques de l'École Normale Supérieure. 33 (6): 837–934. doi:10.1016/s0012-9593(00)01055-7.

projecteuclid.org

Armacost & Armacost 1972 Armacost, D. L.; Armacost, W. L. (1972). "On p-thetic groups". Pacific Journal of Mathematics. 41 (2): 295–301.
Roeder 1974 Roeder, David W. (1974). "Category theory applied to Pontryagin duality". Pacific Journal of Mathematics. 52 (2): 519–527. doi:10.2140/pjm.1974.52.519.
Waterhouse 1968 Waterhouse, William C. (1968). "Dual groups of vector spaces". Pacific Journal of Mathematics. 26 (1): 193–196. doi:10.2140/pjm.1968.26.193.

semanticscholar.org

api.semanticscholar.org

Venkataraman 1975 Venkataraman, Rangachari (1975). "Extensions of Pontryagin Duality". Mathematische Zeitschrift. 143 (2): 105–112. doi:10.1007/BF01187051. S2CID 123627326.
Akbarov 2009 Akbarov, Sergei S. (2009). "Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity". Journal of Mathematical Sciences. 162 (4): 459–586. arXiv:0806.3205. doi:10.1007/s10958-009-9646-1. S2CID 115153766.
Akbarov 2009, 2017a, 2017b Akbarov, Sergei S. (2009). "Holomorphic functions of exponential type and duality for Stein groups with algebraic connected component of identity". Journal of Mathematical Sciences. 162 (4): 459–586. arXiv:0806.3205. doi:10.1007/s10958-009-9646-1. S2CID 115153766. Akbarov, Sergei S. (2017a). "Continuous and smooth envelopes of topological algebras. Part 1". Journal of Mathematical Sciences. 227 (5): 531–668. arXiv:1303.2424. doi:10.1007/s10958-017-3599-6. MR 3790317. S2CID 126018582. Akbarov, Sergei S. (2017b). "Continuous and smooth envelopes of topological algebras. Part 2". Journal of Mathematical Sciences. 227 (6): 669–789. arXiv:1303.2424. doi:10.1007/s10958-017-3600-4. MR 3796205. S2CID 128246373.