Nonabsolutely convergent integrals
| Thesis title in Czech: | Nonabsolutely convergent integrals |
|---|---|
| Thesis title in English: | Nonabsolutely convergent integrals |
| Key words: | neabsolutně konvergentní integrály, vícerozměrné integrály, Gauss-Greenova věta |
| English key words: | nonabsolutely convergent integrals, multidimensional integrals, the Gauss-Green theorem |
| Academic year of topic announcement: | 2010/2011 |
| Thesis type: | diploma thesis |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | prof. RNDr. Jan Malý, DrSc. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 14.01.2011 |
| Date of assignment: | 18.01.2011 |
| Date and time of defence: | 08.09.2011 00:00 |
| Date of electronic submission: | 05.08.2011 |
| Date of submission of printed version: | 04.08.2011 |
| Date of proceeded defence: | 08.09.2011 |
| Opponents: | prof. RNDr. Jan Rataj, CSc. |
| Guidelines |
| Vybudovat teorii neabsolutně konvergentního integrálu ve vícerozměrném prostoru, případně v metrickém prostoru. Zkoumat více možností a vzájemné vztahy. Dovést teorii k aplikacím např. na
Gauss-Greenovu větu. |
| References |
| Pfeffer, Washek F.: Derivation and integration. Cambridge Tracts in Mathematics, 140. Cambridge University Press, Cambridge, 2001. xvi+266 pp.
Lee, Peng Yee; Výborný, Rudolf: Integral: an easy approach after Kurzweil and Henstock. (English summary) Australian Mathematical Society Lecture Series, 14. Cambridge University Press, Cambridge, 2000. xii+311 pp. Csörnyei, Marianna: Absolutely continuous functions of Rado, Reichelderfer, and Malý. J. Math. Anal. Appl. 252 (2000), no. 1, 147–166. |