Geodesic
On Riemann boundary-value problem for regular functions in Clifford algebras
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 42-56

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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. 
@article{IVM_2018_1_a5,
     author = {S. P. Kuznetsov and V. V. Mochalov and V. P. Chuev},
     title = {On {Riemann} boundary-value problem for regular functions in {Clifford} algebras},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {42--56},
     publisher = {mathdoc},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_1_a5/}
}
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S. P. Kuznetsov; V. V. Mochalov; V. P. Chuev. On Riemann boundary-value problem for regular functions in Clifford algebras. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2018), pp. 42-56. http://geodesic.mathdoc.fr/item/IVM_2018_1_a5/