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Flux in axiomatic potential theory. I: Cohomology. (English) Zbl 0179.15203

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[1] Bauer, H.: Harmonische Räume und ihre Potentialtheorie. Lecture Notes in Mathematics22. Berlin-Heidelberg-New York: Springer 1966.
[2] Boboc, N., C. Constantinescu, and A. Cornea: Axiomatic theory of harmonic functions: Nonnegative superharmonic functions. Ann. Inst. Fourier15, 283-312 (1965). · Zbl 0139.06604
[3] Bredon, G. E.: Sheaf theory. New York: McGraw-Hill 1967. · Zbl 0158.20505
[4] Brelot, M.: Lectures on potential theory. Bombay: Tata Institute 1960. · Zbl 0098.06903
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[8] ?, and H. Rossi: Analytic functions of several complex variables. Englewood Cliffs: Prentice-Hall 1965. · Zbl 0141.08601
[9] Hervé, R.-M.: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel. Ann. Inst. Fourier12, 415-571 (1962) · Zbl 0101.08103
[10] Loeb, P. A.: An axiomatic treatment of pairs of elliptic differential equations. Ann. Inst. Fourier16, 167-208 (1966). · Zbl 0172.15101
[11] Maeda, F.-Y.: Axiomatic treatment of full-superharmonic functions. J. Sci. Hiroshima Univ. Ser. A-130, 197-215 (1966). · Zbl 0168.09702
[12] Meyer, P. A.: Brelot’s axiomatic theory of the Dirichlet problem and Hunt’s theory. Ann. Inst. Fourier13, 357-372 (1963). · Zbl 0116.30404
[13] Rodin, B., and L. Sario: Principal functions. Princeton: Van Nostrand 1968.
[14] Schaefer, H.: Topological vector spaces. New York: Macmillan 1966. · Zbl 0141.30503
[15] ?: Invariant ideals of positive operators inC(X), I. Illinois J. Math.11, 703-715 (1967). · Zbl 0168.11801
[16] Walsh, B., and P. A. Loeb: Nuclearity in axiomatic potential theory. Bull. Amer. Math. Soc.72, 685-689 (1966). · Zbl 0144.15503
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