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On Riemann Boundary-Value Problem for Regular Functions in Clifford Algebras

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Abstract

We pose and investigate the Riemann boundary-value problem for regular and strongly regular functions in Clifford algebras. The posed problem is reduced to the matrix problem for analytical functions in one and two complex variables and we give its solution. We carry out the boundary-value problems in special cases.

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Authors and Affiliations

  1. Chuvash State University, Moskovskii pr. 15, Cheboksary, 428010, Russia

    S. P. Kuznetsov, V. V. Mochalov & V. P. Chuev

Authors
  1. S. P. Kuznetsov
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  2. V. V. Mochalov
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  3. V. P. Chuev
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Corresponding author

Correspondence to S. P. Kuznetsov.

Additional information

Original Russian Text © S.P. Kuznetsov, V.V. Mochalov, V.P. Chuev, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 1, pp. 42–56.

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Kuznetsov, S.P., Mochalov, V.V. & Chuev, V.P. On Riemann Boundary-Value Problem for Regular Functions in Clifford Algebras. Russ Math. 62, 36–49 (2018). https://doi.org/10.3103/S1066369X18010061

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  • DOI: https://doi.org/10.3103/S1066369X18010061

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