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The Hörmander Proof of the Bourgain–Milman Theorem

Part of the Lecture Notes in Mathematics book series (LNM,volume 2050)

Abstract

We give a proof of the Bourgain–Milman theorem based on Hörmander’s Existence Theorem for solutions of the \(\bar{\partial }\)-problem.

Keywords

  • Paley-Wiener Space
  • Origin-symmetric Convex Body
  • Bergman Space
  • Standard Conformal Mapping
  • Tube Domain

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Correspondence to Fedor Nazarov .

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© 2012 Springer-Verlag Berlin Heidelberg

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Nazarov, F. (2012). The Hörmander Proof of the Bourgain–Milman Theorem. In: Klartag, B., Mendelson, S., Milman, V. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 2050. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29849-3_20

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