LEADER 03105oam 2200457 450 001 996418187903316 005 20210414163615.0 010 $a3-030-50216-3 024 7 $a10.1007/978-3-030-50216-4 035 $a(CKB)4100000011526321 035 $a(MiAaPQ)EBC6381008 035 $a(DE-He213)978-3-030-50216-4 035 $a(PPN)258065133 035 $a(EXLCZ)994100000011526321 100 $a20210414d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMichele Sce's works in hypercomplex analysis $ea translation with commentaries /$fFabrizio Colombo, Irene Sabadini, Daniele C. Struppa 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cBirkhäuser,$d[2020] 210 4$d©2020 215 $a1 online resource (VI, 122 p. 3 illus., 1 illus. in color.) 311 $a3-030-50215-5 327 $a1 Introduction -- 2 Monogenicity and total derivability in real and complex algebras -- 3 On systems of partial differential equations related to real algebras -- 4 On the variety of zero divisors in algebras -- 5 Remarks on the power series in quadratic modules -- 6 Regular functions in the Cayley algebra -- Index. 330 $aThis book presents English translations of Michele Sce?s most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. Despite their importance, these works are not very well known in the mathematics community because of the language they were published in. Possibly the most remarkable instance is the so-called Fueter-Sce mapping theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to revealing and describing the framework Sce worked in, at an exciting time when the various generalizations of complex analysis in one variable were still in their infancy. In addition to faithfully translating Sce?s papers, the authors discuss their significance and explain their connections to contemporary research in hypercomplex analysis. They also discuss many concrete examples that can serve as a basis for further research. The vast majority of the results presented here will be new to readers, allowing them to finally access the original sources with the benefit of comments from fellow mathematicians active in the field of hypercomplex analysis. As such, the book offers not only an important chapter in the history of hypercomplex analysis, but also a roadmap for further exciting research in the field. 606 $aFunctions of complex variables 615 0$aFunctions of complex variables. 676 $a515.9 700 $aColombo$b Fabrizio$0511074 702 $aSabadini$b Irene$f1965- 702 $aStruppa$b Daniele Carlo$f1955- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a996418187903316 996 $aMichele Sce's works in hypercomplex analysis$92169018 997 $aUNISA