Iterated path integrals and generalized paths

Chen, Kuo-Tsai

doi:10.1090/S0002-9904-1967-11858-5

Bulletin of the American Mathematical Society

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ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Iterated path integrals and generalized paths
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Bull. Amer. Math. Soc. 73 (1967), 935-938

References

Kuo-Tsai Chen, Integration of paths—a faithful representation of paths by non-commutative formal power series, Trans. Amer. Math. Soc. 89 (1958), 395–407. MR 106258, DOI 10.1090/S0002-9947-1958-0106258-0
Kuo-tsai Chen, Formal differential equations, Ann. of Math. (2) 73 (1961), 110–133. MR 150370, DOI 10.2307/1970284
Kuo-tsai Chen, Algebraization of iterated integration along paths, Bull. Amer. Math. Soc. 73 (1967), 975–978. MR 217718, DOI 10.1090/S0002-9904-1967-11869-X
Herbert Federer and Wendell H. Fleming, Normal and integral currents, Ann. of Math. (2) 72 (1960), 458–520. MR 123260, DOI 10.2307/1970227
H. H. Johnson, A generalization of K. T. Chen’s invariants for paths under transformation groups, Trans. Amer. Math. Soc. 105 (1962), 453–461. MR 141728, DOI 10.1090/S0002-9947-1962-0141728-1
Rimhak Ree, Lie elements and an algebra associated with shuffles, Ann. of Math. (2) 68 (1958), 210–220. MR 100011, DOI 10.2307/1970243

Additional Information

Journal: Bull. Amer. Math. Soc. 73 (1967), 935-938
DOI: https://doi.org/10.1090/S0002-9904-1967-11858-5
MathSciNet review: 0217717