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The growth of the area of a transcendental analytic set. I

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  1. Added in proof: Recently,E. Bishop [0] has proved the theorem in the general case. His methods are quite different.

  2. SeeStoll [13] Satz 4.3.

  3. SeeStoll [13] Satz 4.2.

  4. SeeStoll [13] page 45 and 46.

  5. SeeStoll [13] Satz 4.1.

  6. SeeStoll [13] page 47.

  7. SeeMiranda [6] I.10 and III.21.

  8. SeePerron [7].

  9. SeeSard [11].

  10. See the proof of Lemma 4.1.

  11. SeeStoll [13] Satz 7.3 page 81.

  12. SeeStoll [13] formula (7.14) page 80.

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The author was partially supported by the National Science Foundation under Grant NSF G-22126.

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Stoll, W. The growth of the area of a transcendental analytic set. I. Math. Ann. 156, 47–78 (1964). https://doi.org/10.1007/BF01359980

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  • DOI: https://doi.org/10.1007/BF01359980

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