Complex vector measure and integral over manifolds with locally finite variations

Authors

  • Aleksey V. Potepun St. Petersburg State University, Universitetskaya nab., 7-9, St. Petersburg, 199034, Russian Federation;

DOI:

https://doi.org/10.21638/11701/spbu01.2016.106

Abstract

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References

Литература

1. Г. Грауэрт, И. Либ, В. Фишер. Дифференциальное и интегральное исчисление / М.: Мир, 1971. 680 с.

2. Потепун А.В. Интегрирование дифференциальных форм на многообразиях с локально конечными вариациями, часть I // Записки научных семинаров ПОМИ, 2005. Т. 327. С. 168-206.

3. Потепун А.В. Интегрирование дифференциальных форм на многообразиях с локально конечными вариациями, часть II // Записки научных семинаров ПОМИ, 2006. Т. 333. С. 66-85.

4. Dinculeanu N. Vector measures. Berlin: Veb Deutscher Verlag von Wissenschaften, 1966. 432 p.

5. Бурбаки Н. Алгебра. Алгебраические структуры. Линейная и полилинейная алгебра. М.: Физматгиз, 1962. 516 с.

References

1. Grauert H., Lieb I., Fischer W., Differential- und Integralrechnung (Springer–Verlag, Berlin, Heidelberg, New York, III, 1967) [in German].

2. Potepun A.V., “Integration of differential forms on manifolds with locally finite variations. Part I”, Zapiski nauchnyh seminarov POMI 327, 168–206 (2005) [in Russian].

3. Potepun A.V., “Integration of differential forms on manifolds with locally finite variations. Part II”, Zapiski nauchnyh seminarov POMI 333, 66–85 (2006) [in Russian].

4. Dinculeanu N., Vector measures (ed. N.Dinculeanu, Dt. Verlag d. Wiss., Berlin, 1967, 432 p.).

5. Bourbaki N., Algebra. Chapters I–III (Hermann, Paris, France, 1974).

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Published

2020-10-19

How to Cite

Potepun, A. V. (2020). Complex vector measure and integral over manifolds with locally finite variations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 3(1), 1. https://doi.org/10.21638/11701/spbu01.2016.106

Issue

Vol. 3 No. 1 (2016)

Section

Mathematics

License

Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.