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A Special Integral Representation for a Local Residue

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Abstract

We obtain a new integral representation for a local residue with integration of a meromorphic m 2-form over an m 2-dimensional cycle in \(\mathbb{C}^{m^2 } \).

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References

  1. Griffiths P. and Harris J., Principles of Algebraic Geometry [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  2. Tong Y. L., “Integral representation formulae and the Grothendieck residue symbol,” Amer. J. Math., 95, No. 4, 904-917 (1973).

    Google Scholar 

  3. Tsikh A. K., Multidimensional Residues and Their Applications [in Russian], Nauka, Novosibirsk (1988).

    Google Scholar 

  4. Hua L. K., Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains [Russian translation], Izdat. Inostr. Lit., Moscow (1959).

    Google Scholar 

  5. Passare M., Tsikh A., and Yger A., “Residue current of the Bochner-Martinelli type,” Publ. Math., 44, 85-117 (2000).

    Google Scholar 

  6. A?zenberg L. A. and Yuzhakov A. P., Integral Representations and Residues in Multidimensional Complex Analysis [in Russian], Nauka, Novosibirsk (1979).

    Google Scholar 

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Shaimkulov, B.A. A Special Integral Representation for a Local Residue. Siberian Mathematical Journal 43, 963–966 (2002). https://doi.org/10.1023/A:1020123311262

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  • DOI: https://doi.org/10.1023/A:1020123311262

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