Previous |  Up |  Next

Article

References:
[1] G. Birkhoff: On product integration. J. Math. and Phys. 16 (1937), 104–132. DOI 10.1002/sapm1937161104 | Zbl 0018.13402
[2] W. M. Boothby: An introduction to differentiable manifolds and Riemannian geometry. Second Edition, Academic Press, New York, 1986. MR 0861409 | Zbl 0596.53001
[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 0505.22006
[5] J. D. Dollard, C. N. Friedman: Product Integration with Applications to Differential Equations. Addison-Wesley Publishing Company, Reading, Massachusetts, 1979. MR 0552941
[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 0235065
[8] R. Henstock: Lectures on the Theory of Integration. World Scientific, Singapore, 1988. MR 0963249 | Zbl 0668.28001
[9] R. Henstock: General Theory of Integration. Clarendon Press, Oxford, 1991. MR 1134656 | Zbl 0745.26006
[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 0913996
[11] K. Kuratowski: Topology I. Academic Press, London, 1966. MR 0217751
[12] J. Kurzweil: Nichtabsolut konvergente Integrale. Teubner-Texte zur Mathematik no 26, Leipzig, 1980. MR 0597703 | Zbl 0441.28001
[13] R. M. McLeod: The generalized Riemann integral. Carus Mathematical Monographs no 20, Mathematical Association of America, 1980. MR 0588510 | Zbl 0486.26005
[14] Y. Matsuchima: Differentiable Manifolds. Marcel Dekker, Inc., New York, 1972. MR 0346831
[15] D. Montgomery, L. Zippin: Topological Transformation Groups. Interscience Publishers, New York, 1955. MR 0073104
[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 0950422
[17] G. Rasch: Zur Theorie und Anwendung des Produktintegrals. J. Reine Angew. Math. 191 (1934), 65–119. Zbl 0009.16503
[18] L. Schlesinger: Neue Grundlagen für einen Infinitesimalkalkül der Matrizen. Math. Z. 33 (1931), 33–61. DOI 10.1007/BF01174342
[19] L. Schlesinger: Weitere Beiträge zum Infinitesimalkalkül der Matrizen. Math. Z. 35 (1932), 485–501. DOI 10.1007/BF01186565 | MR 1545305 | Zbl 0004.24701
[20] V. S. Varadarajan: Lie Groups, Lie Algebras and their Representations. Prentice-Hall, Inc., New Jersey, 1974. MR 0376938 | Zbl 0371.22001
[21] V. Volterra: Sulla teoria delle equazioni differenziali lineari. Rend. Circ. Mat. Palermo 2 (1888), 69–75. DOI 10.1007/BF03018073
[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 0722297
Partner of
EuDML logo