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Analytic sets in M(D)

Part of the Lecture Notes in Mathematics book series (LNM,volume 369)

Keywords

  • Open Unit Disk
  • Standard Part
  • Analytic Disk
  • Maximal Ideal Space
  • Nonstandard Model

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Bibliography

  1. M. Behrens, The corona conjecture for a class of infinitely connected domains, Bull. Amer. Math. Soc. 76 (1970), 387–391.

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  2. —, The Maximal ideal space of algebras of bounded analytic functions on infinitely connected domains, Trans. Amer. Math. Soc. 161 (1971), 359–379.

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  3. K. Hoffman, Banach spaces of analytic functions, Prentice-Hall Series in Modern Analysis, Prentice-Hall, Englewood Cliffs, N.J. 1962 MR 24 #A 2844.

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  4. —, Bounded analytic functions and Gleason parts, Ann. of Math. (2) 86 (1967), 74–111. MR 35 #5945.

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  5. A. Robinson, Non-standard analysis, Studies in Logic, North-Holland, Amsterdam, 1966.

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  6. L. Zalcman, Bounded analytic functions on domains of infinite connectivity, Trans. Amer. Math. Soc. 144 (1969), 241–270.

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© 1974 Springer-Verlag

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Behrens, M. (1974). Analytic sets in M(D). In: Hurd, A., Loeb, P. (eds) Victoria Symposium on Nonstandard Analysis. Lecture Notes in Mathematics, vol 369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065994

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  • DOI: https://doi.org/10.1007/BFb0065994

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06656-9

  • Online ISBN: 978-3-540-37928-7

  • eBook Packages: Springer Book Archive