caa a22 4500 467979332 CHVBK 20180323112515.0 cr unu---uuuuu 170328e19900201xx s 000 0 eng 10.1007/BF02862882 doi (NATIONALLICENCE)springer-10.1007/BF02862882 Snyder Herbert University Extension Services, P.O. Box 1494, 22560, Tappahamock, VA, USA aut A theorem of generalized Cauchy-Pompeiu type on finite-dimensional associative algebras [Elektronische Daten] [Herbert Snyder] The author takes up the following problem: suppose given a class of regular hypercomplex functions, i.e., with domains and ranges in a finite-dimensional associative algebra (over the reals) with unity element (so that it is not, in general, a division algebra). Does there nevertheless exist for such functions an integral formula of Cauchy's type, or perhaps of Cauchy-Pompeiu tipe? The author obtains a formula of Cauchy-Pompeiu type (wich, in the commutative case, is similar to a Green identity). Springer, 1990 Rendiconti del Circolo Matematico di Palermo Springer-Verlag 39/1(1990-02-01), 153-168 0009-725X 39:1<153 1990 39 12215 https://doi.org/10.1007/BF02862882 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02862882 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Snyder Herbert University Extension Services, P.O. Box 1494, 22560, Tappahamock, VA, USA aut NATIONALLICENCE 773 0- Rendiconti del Circolo Matematico di Palermo Springer-Verlag 39/1(1990-02-01), 153-168 0009-725X 39:1<153 1990 39 12215 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer