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2018•Russian MathematicsRequires access

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

С. П. Кузнецов, V. V. Mochalov, V. P. Chuev

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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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What this paper is about

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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Available 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.

Key concepts: Mathematics, Clifford analysis, Boundary value problem, Riemann hypothesis, Pure mathematics, Riemann sum, Geometric function theory, Riemann problem

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