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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 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

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.

UDC: 517.544

Received: 11.10.2016


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:1, 36–49

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© Steklov Math. Inst. of RAS, 2024