Inventiones mathematicae

, Volume 50, Issue 3, pp 249–272 | Cite as

On the index of Toeplitz operators of several complex variables

  • Louis Boutet de Monvel


Toeplitz operators on strictly pseudo-convex boundaries of complex domains are defined; they behave like pseudo-differential operators. An extension of the Atiyah-Singer formula is proved for elliptic systems of such operators.


Complex Variable Toeplitz Operator Elliptic System Complex Domain 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Louis Boutet de Monvel
    • 1
  1. 1.Ecole Normale SupérieureParis Cedex 05France

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