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A non-Archimedean ’curve integral’ and its application to the construction of potentials and solutions of differential equations. (English) Zbl 0312.26012


MSC:

26B15 Integration of real functions of several variables: length, area, volume
12J10 Valued fields
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References:

[1] DIEUDONNE, J. Sur les fonctions continues p-adiques . Bull. Sc. Math. 68, 79-95 ( 1944 ). MR 7,111c | Zbl 0060.08204 · Zbl 0060.08204
[2] LOONSTRA, F. Die Lösung von Differentialgleichungen in einem bewerteten Körper . Proc. Ned. Akad. v. Wetensch. 44, 409-419 ( 1941 ). MR 3,104e | Zbl 0025.04902 | JFM 67.0098.05 · Zbl 0025.04902
[3] MONNA, A.F. Analyse non-archimédienne . Berlin, Heidelberg, New York Springer 1970 . MR 45 #4101 | Zbl 0203.11501 · Zbl 0203.11501
[4] VAN DER PUT, M. Algèbres de fonctions continues p-adiques . Thesis University of Utrecht 1967 . · Zbl 0167.43503
[5] TREIBER, D. Beiträge zur nicht-archimedischen Funktional-analysis . Thesis University of Cologne 1971 . Zbl 0241.46017 · Zbl 0241.46017
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