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MR ZblMorales, Pedro. The Perron product integral in Lie groups. Czechoslovak Mathematical Journal, Tome 43 (1993) no. 2, pp. 349-366. doi: 10.21136/CMJ.1993.128392
@article{10_21136_CMJ_1993_128392,
author = {Morales, Pedro},
title = {The {Perron} product integral in {Lie} groups},
journal = {Czechoslovak Mathematical Journal},
pages = {349--366},
year = {1993},
volume = {43},
number = {2},
doi = {10.21136/CMJ.1993.128392},
mrnumber = {1211757},
zbl = {0811.28008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1993.128392/}
}
[1] G. Birkhoff: On product integration. J. Math. and Phys. 16 (1937), 104–132. | DOI | Zbl
[2] W. M. Boothby: An introduction to differentiable manifolds and Riemannian geometry. Second Edition, Academic Press, New York, 1986. | MR | Zbl
[3] N. Bourbaki: Variétes différentielles et analytiques. Fascicule de résultats, Diffusion CCLS, Paris, 1982.
[4] N. Bourbaki: Groupes et algèbres de Lie. Chapitres 2 et 3, Diffusion CCLS, Paris, 1982. | Zbl
[5] J. D. Dollard, C. N. Friedman: Product Integration with Applications to Differential Equations. Addison-Wesley Publishing Company, Reading, Massachusetts, 1979. | MR
[6] J.-F. Hamilton: Multiplicative Riemann integration and logarithmic differentiation in Lie algebras and Lie groups. Doctoral dissertation, Indiana University, 1973.
[7] M. Hausner, J. T. Schwartz: Lie Groups; Lie Algebras. Gordon and Breach, Science Publishers, Inc., Great Britain, 1968. | MR
[8] R. Henstock: Lectures on the Theory of Integration. World Scientific, Singapore, 1988. | MR | Zbl
[9] R. Henstock: General Theory of Integration. Clarendon Press, Oxford, 1991. | MR | Zbl
[10] J. Jarník, J. Kurzweil: A general form of the product integral and linear ordinary differential equations. Czechoslovak Math. J. 37 (1987), 642–659. | MR
[11] K. Kuratowski: Topology I. Academic Press, London, 1966. | MR
[12] J. Kurzweil: Nichtabsolut konvergente Integrale. Teubner-Texte zur Mathematik no 26, Leipzig, 1980. | MR | Zbl
[13] R. M. McLeod: The generalized Riemann integral. Carus Mathematical Monographs no 20, Mathematical Association of America, 1980. | MR | Zbl
[14] Y. Matsuchima: Differentiable Manifolds. Marcel Dekker, Inc., New York, 1972. | MR
[15] D. Montgomery, L. Zippin: Topological Transformation Groups. Interscience Publishers, New York, 1955. | MR
[16] P. Morales: Product integral for finite-dimensional Lie algebra-valued functions. Proc. Workshop on Functional Integration with emphasis on the Feynman Integral, Sherbrooke, Québec, Canada 1986, Suppl. Rend. Circ. Mat. Palermo 17 (1987), 313–329. | MR
[17] G. Rasch: Zur Theorie und Anwendung des Produktintegrals. J. Reine Angew. Math. 191 (1934), 65–119. | Zbl
[18] L. Schlesinger: Neue Grundlagen für einen Infinitesimalkalkül der Matrizen. Math. Z. 33 (1931), 33–61. | DOI
[19] L. Schlesinger: Weitere Beiträge zum Infinitesimalkalkül der Matrizen. Math. Z. 35 (1932), 485–501. | DOI | MR | Zbl
[20] V. S. Varadarajan: Lie Groups, Lie Algebras and their Representations. Prentice-Hall, Inc., New Jersey, 1974. | MR | Zbl
[21] V. Volterra: Sulla teoria delle equazioni differenziali lineari. Rend. Circ. Mat. Palermo 2 (1888), 69–75. | DOI
[22] V. Volterra, B. Hostinsky: Opérations infinitésimales linéaires. Gauthier-Villars, Paris, 1938.
[23] F. W. Warner: Foundations of Differentiable Manifold and Lie groups. Springer-Verlag, New York, 1983. | MR
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