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Flux in axiomatic potential theory

I. Cohomology

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Inventiones mathematicae Aims and scope

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References

  1. Bauer, H.: Harmonische Räume und ihre Potentialtheorie. Lecture Notes in Mathematics22. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  2. Boboc, N., C. Constantinescu, and A. Cornea: Axiomatic theory of harmonic functions: Nonnegative superharmonic functions. Ann. Inst. Fourier15, 283–312 (1965).

    Google Scholar 

  3. Bredon, G. E.: Sheaf theory. New York: McGraw-Hill 1967.

    Google Scholar 

  4. Brelot, M.: Lectures on potential theory. Bombay: Tata Institute 1960.

    Google Scholar 

  5. Dowker, C. H.: Lectures on sheaf theory. Bombay: Tata Institute 1957.

    Google Scholar 

  6. Dunford, N., and J. T. Schwartz: Linear operators, I. New York: Interscience 1958.

    Google Scholar 

  7. Gunning, R. C.: Lectures on Riemann surfaces. Princeton: Princeton University Press 1966.

    Google Scholar 

  8. —, and H. Rossi: Analytic functions of several complex variables. Englewood Cliffs: Prentice-Hall 1965.

    Google Scholar 

  9. Hervé, R.-M.: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel. Ann. Inst. Fourier12, 415–571 (1962)

    Google Scholar 

  10. Loeb, P. A.: An axiomatic treatment of pairs of elliptic differential equations. Ann. Inst. Fourier16, 167–208 (1966).

    Google Scholar 

  11. Maeda, F.-Y.: Axiomatic treatment of full-superharmonic functions. J. Sci. Hiroshima Univ. Ser. A-130, 197–215 (1966).

    Google Scholar 

  12. Meyer, P. A.: Brelot's axiomatic theory of the Dirichlet problem and Hunt's theory. Ann. Inst. Fourier13, 357–372 (1963).

    Google Scholar 

  13. Rodin, B., and L. Sario: Principal functions. Princeton: Van Nostrand 1968.

    Google Scholar 

  14. Schaefer, H.: Topological vector spaces. New York: Macmillan 1966.

    Google Scholar 

  15. —: Invariant ideals of positive operators inC(X), I. Illinois J. Math.11, 703–715 (1967).

    Google Scholar 

  16. Walsh, B., and P. A. Loeb: Nuclearity in axiomatic potential theory. Bull. Amer. Math. Soc.72, 685–689 (1966).

    Google Scholar 

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Partially supported by NSF-GP-6727.

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Walsh, B. Flux in axiomatic potential theory. Invent Math 8, 175–221 (1969). https://doi.org/10.1007/BF01406072

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  • DOI: https://doi.org/10.1007/BF01406072

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