We consider a certain analog of Cauchy type integral taking values in a three-dimensional harmonic algebra with two-dimensional radical. We establish sufficient conditions for an existence of limiting values of this integral on the curve of integration.
@article{bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_57-64, author = {S. A. Plaksa and V. S. Shpakivskyi}, title = {On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical}, journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica}, volume = {67}, year = {2013}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_57-64} }
S. A. Plaksa; V. S. Shpakivskyi. On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_1_57-64/
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