| Title:
|
A non absolutely convergent integral which admits transformation and can be used for integration on manifolds (English) |
| Author:
|
Jarník, Jiří |
| Author:
|
Kurzweil, Jaroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
116-139 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
26A42 |
| MSC:
|
26B20 |
| idZBL:
|
Zbl 0614.26007 |
| idMR:
|
MR779340 |
| DOI:
|
10.21136/CMJ.1985.102001 |
| . |
| Date available:
|
2008-06-09T15:03:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102001 |
| . |
| Reference:
|
[1] J. Mawhin: Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields.Czechoslovak Math. J. 31 (106) (1981), No. 4, 614-632. Zbl 0562.26004, MR 0631606 |
| Reference:
|
[2] J. Jarník J. Kurzweil Š. Schwabik: On Mawhin's approach to multiple nonabsolutely convergent integral.Časopis pro pěst. mat. 108 (1983), No. 4, 356-380. MR 0727536 |
| Reference:
|
[3] J. Kurzweil: Nichtabsolut konvergente Integrale.Teubner-Texte für Mathematik 26, Teubner, Leipzig 1980. Zbl 0441.28001, MR 0597703 |
| Reference:
|
[4] J. Jarník J. Kurzweil: A nonabsolutely convergent integral in $R\sp{2}$ which admits $C\sp{1}$-transfor- mations.Časopis pro pěst. mat. 109 (1984), N0. 2, 157-167. MR 0744873 |
| Reference:
|
[5] S. Sternberg: Lectures on Differential Geometry.Prentice-Hall Inc., Englewood Cliffs, N.J. 1964. (Russian translation: Mir, Moskva 1970) Zbl 0129.13102, MR 0193578 |
| Reference:
|
[6] M. Spivak: Calculus on Manifolds.W. A. Benjamin Inc., New York-Amsterdam 1965. (Russian translation: Mir, Moskva 1968) Zbl 0141.05403, MR 0209411 |
| . |
