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On the continuation of analytic sets

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References

  1. Bishop, E.: Conditions for the analyticity of certain sets. Michigan Math. J.11, 289–304 (1964).

    Google Scholar 

  2. Brothers, J. E.: Integral geometry in homogeneous spaces. Trans. Amer. Math. Soc.124, 480–517 (1966).

    Google Scholar 

  3. Federer, H.: Some integralgeometric theorems. Trans. Amer. Math. Soc.77, 238–261 (1954).

    Google Scholar 

  4. —— Geometric measure theory. Berlin-Heidelberg-New York: Springer 1969.

    Google Scholar 

  5. Gunning, R. C., Rossi, H.: Analytic functions of several complex variables. Englewood Cliffs, N.J.: Prentice-Hall 1965.

    Google Scholar 

  6. Narasimhan, R.: Introduction to the theory of analytic spaces. Lecture Notes in Mathematics25. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  7. Remmert, R., Stein, K.: Über die wesentlichen Singularitäten analytischer Mengen. Math. Ann.126, 263–306 (1953).

    Google Scholar 

  8. Rossi, H.: Continuation of subvarieties of projective varieties. Amer. J. Math.91, 565–575 (1969).

    Google Scholar 

  9. Rothstein, W.: Zur Theorie der analytischen Mengen. Math. Ann.174, 8–32 (1967).

    Google Scholar 

  10. Sard, A.: The equivalence ofn-measure and Lebesque measure inE n . Bull. Amer. Math. Soc.49, 758–759 (1943).

    Google Scholar 

  11. Shiffman, B.: On the removal of singularities of analytic sets. Michigan Math. J.15, 111–120 (1968).

    Google Scholar 

  12. -- On the removal of singularities in several complex variables, 1968 (dissertation, University of California at Berkeley).

  13. —— On the continuation of analytic curves. Math. Ann.184, 268–274 (1970).

    Google Scholar 

  14. Stoll, W.: The growth of the area of a transcendental analytic set. I, II, Math. Ann.156, 47–78, 144–170 (1964).

    Google Scholar 

  15. Stolzenberg, G.: Volumes, limits, and extensions of analytic varieties. Lecture Notes in Mathematics19, Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  16. Thie, P. R.: The Lelong number of a point of a complex analytic set. Math. Ann.172, 269–312 (1967).

    Google Scholar 

  17. Thullen, P.: Über die wesentlichen Singularitäten analytischer Funktionen und Flächen im Raume vonn komplexen Veränderlichen. Math. Ann.111, 137–157 (1935).

    Google Scholar 

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Shiffman, B. On the continuation of analytic sets. Math. Ann. 185, 1–12 (1970). https://doi.org/10.1007/BF01350755

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