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Microlocal Analysis of the Bochner-Martinelli Integral

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Abstract.

In order to characterise the C * -algebra generated by the singular Bochner-Martinelli integral over a smooth closed hypersurfaces in \( {\user2{\mathbb{C}}}^{n} \), we compute its principal symbol. We show then that the Szegö projection belongs to the strong closure of the algebra generated by the singular Bochner-Martinelli integral.

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Authors and Affiliations

  1. Institute of Mathematics, University of Potsdam, PO Box 60 15 53, 14415, Potsdam, Germany

    Nikolai Tarkhanov

  2. Departamento de Matemáticas, CINVESTAV del I.P.N., Apartado Postal 14-740, 07000, México, D.F., México

    Nikolai Vasilevski

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  1. Nikolai Tarkhanov
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  2. Nikolai Vasilevski
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Correspondence to Nikolai Tarkhanov.

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Tarkhanov, N., Vasilevski, N. Microlocal Analysis of the Bochner-Martinelli Integral. Integr. equ. oper. theory 57, 583–592 (2007). https://doi.org/10.1007/s00020-006-1469-6

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  • DOI: https://doi.org/10.1007/s00020-006-1469-6

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