Geodesic
A class of Toeplitz operators in several complex variables
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 206-215

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In order to study the Toeplitz algebras related to a Dirac operators in a neighborhood of a closed bounded domain $\mathcal{D}$ with smooth boundary in $\mathbb{C}^n$ we introduce a singular Cauchy type integral. We compute its principal symbol, thus initiating the index theory.
Keywords: Dirac operators, Cauchy type integral, Toeplitz operators, index.
Mots-clés : symbol 
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     author = {Dmitrii P. Fedchenko},
     title = {A class of {Toeplitz} operators in several complex variables},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a7/}
}
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Dmitrii P. Fedchenko. A class of Toeplitz operators in several complex variables. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 2, pp. 206-215. http://geodesic.mathdoc.fr/item/JSFU_2017_10_2_a7/