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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 1, Pages 42–56 (Mi ivm9318)  
On Riemann boundary-value problem for regular functions in Clifford algebras

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

Chuvash State University, 15 Moskovskii Ave., Cheboksary, 428010 Russia
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Abstract: We pose and investigate the Riemann boundary-value problem for regular and strongly regular functions in Clifford alegbras. 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.
Keywords: Clifford algebra, regular functions, Riemann boundary-value problem.
Received: 11.10.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 1, Pages 36–49
DOI: https://doi.org/10.3103/S1066369X18010061
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: S. P. Kuznetsov, V. V. Mochalov, V. P. Chuev, “On Riemann boundary-value problem for regular functions in Clifford algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 1, 42–56; Russian Math. (Iz. VUZ), 62:1 (2018), 36–49
Citation in format AMSBIB
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