The Perron product integral in Lie groups

Pedro Morales

Czechoslovak Mathematical Journal (1993)

  • Volume: 43, Issue: 2, page 349-366
  • ISSN: 0011-4642

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Morales, Pedro. "The Perron product integral in Lie groups." Czechoslovak Mathematical Journal 43.2 (1993): 349-366. <http://eudml.org/doc/31339>.

@article{Morales1993,
author = {Morales, Pedro},
journal = {Czechoslovak Mathematical Journal},
keywords = {gauge function; Lie group of finite dimension; Lie algebra; -fine subdivision; Henstock-Kurzweil approach of Perron integral; Perron product integral; summation integral},
language = {eng},
number = {2},
pages = {349-366},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The Perron product integral in Lie groups},
url = {http://eudml.org/doc/31339},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Morales, Pedro
TI - The Perron product integral in Lie groups
JO - Czechoslovak Mathematical Journal
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 2
SP - 349
EP - 366
LA - eng
KW - gauge function; Lie group of finite dimension; Lie algebra; -fine subdivision; Henstock-Kurzweil approach of Perron integral; Perron product integral; summation integral
UR - http://eudml.org/doc/31339
ER -

References

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  1. 10.1002/sapm1937161104, J. Math. and Phys. 16 (1937), 104–132. (1937) Zbl0018.13402DOI10.1002/sapm1937161104
  2. An introduction to differentiable manifolds and Riemannian geometry, Second Edition, Academic Press, New York, 1986. (1986) Zbl0596.53001MR0861409
  3. Variétes différentielles et analytiques, Fascicule de résultats, Diffusion CCLS, Paris, 1982. (1982) 
  4. Groupes et algèbres de Lie, Chapitres 2 et 3, Diffusion CCLS, Paris, 1982. (1982) Zbl0505.22006
  5. Product Integration with Applications to Differential Equations, Addison-Wesley Publishing Company, Reading, Massachusetts, 1979. (1979) MR0552941
  6. Multiplicative Riemann integration and logarithmic differentiation in Lie algebras and Lie groups, Doctoral dissertation, Indiana University, 1973. (1973) 
  7. Lie Groups; Lie Algebras, Gordon and Breach, Science Publishers, Inc., Great Britain, 1968. (1968) MR0235065
  8. Lectures on the Theory of Integration, World Scientific, Singapore, 1988. (1988) Zbl0668.28001MR0963249
  9. General Theory of Integration, Clarendon Press, Oxford, 1991. (1991) Zbl0745.26006MR1134656
  10. A general form of the product integral and linear ordinary differential equations, Czechoslovak Math. J. 37 (1987), 642–659. (1987) MR0913996
  11. Topology I, Academic Press, London, 1966. (1966) MR0217751
  12. Nichtabsolut konvergente Integrale, Teubner-Texte zur Mathematik no 26, Leipzig, 1980. (1980) Zbl0441.28001MR0597703
  13. The generalized Riemann integral, Carus Mathematical Monographs no 20, Mathematical Association of America, 1980. (1980) Zbl0486.26005MR0588510
  14. Differentiable Manifolds, Marcel Dekker, Inc., New York, 1972. (1972) MR0346831
  15. Topological Transformation Groups, Interscience Publishers, New York, 1955. (1955) MR0073104
  16. 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. (1987) MR0950422
  17. Zur Theorie und Anwendung des Produktintegrals, J. Reine Angew. Math. 191 (1934), 65–119. (1934) Zbl0009.16503
  18. 10.1007/BF01174342, Math. Z. 33 (1931), 33–61. (1931) DOI10.1007/BF01174342
  19. 10.1007/BF01186565, Math. Z. 35 (1932), 485–501. (1932) Zbl0004.24701MR1545305DOI10.1007/BF01186565
  20. Lie Groups, Lie Algebras and their Representations, Prentice-Hall, Inc., New Jersey, 1974. (1974) Zbl0371.22001MR0376938
  21. 10.1007/BF03018073, Rend. Circ. Mat. Palermo 2 (1888), 69–75. (1888) DOI10.1007/BF03018073
  22. Opérations infinitésimales linéaires, Gauthier-Villars, Paris, 1938. (1938) 
  23. Foundations of Differentiable Manifold and Lie groups, Springer-Verlag, New York, 1983. (1983) MR0722297

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