LEADER 04189nam 22005295 450 001 9910300140803321 005 20200706113942.0 010 $a3-030-00049-4 024 7 $a10.1007/978-3-030-00049-3 035 $a(CKB)4100000006519804 035 $a(MiAaPQ)EBC5510542 035 $a(DE-He213)978-3-030-00049-3 035 $z(PPN)258865601 035 $a(PPN)230535976 035 $a(EXLCZ)994100000006519804 100 $a20180907d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aClifford Analysis and Related Topics $eIn Honor of Paul A. M. Dirac, CART 2014, Tallahassee, Florida, December 15?17 /$fedited by Paula Cerejeiras, Craig A. Nolder, John Ryan, Carmen Judith Vanegas Espinoza 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (156 pages) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v260 311 $a3-030-00047-8 327 $aBallenger-Fazzone, K. and Nolder, C. A: Lambda-harmonic Functions: An Expository Account -- Cerejeiras, P., Kahler, U. Kraußhar, R. S: Some Applications of Parabolic Dirac Operators to the Instationary Navier-Stokes Problem on Conformally Flat Cylinders and Tori in R3 -- Cerejeiras, P., Kahler, U. and Ryan, J: From Hermitean Clifford Analysis to Subelliptic Dirac Operators on Odd Dimensional Spheres and Other CR Manifolds -- Ding, C. and Ryan, J: On Some Conformally Invariant Operators in Euclidean Space -- Emanuello, J. A. and Nolder, C. A: Notions of Regularity for Functions of a Split-quaternionic Variable -- Raeymaekers, T: Decomposition of the Twisted Dirac Operator -- Vajiac, M. B: Norms and Moduli on Multicomplex Spaces -- Vanegas, C. J. and Vargas, F. A: Associated Operators to the Space of Meta-q-Monogenic Functions. 330 $aThis book, intended to commemorate the work of Paul Dirac, highlights new developments in the main directions of Clifford analysis. Just as complex analysis is based on the algebra of the complex numbers, Clifford analysis is based on the geometric Clifford algebras. Many methods and theorems from complex analysis generalize to higher dimensions in various ways. However, many new features emerge in the process, and much of this work is still in its infancy. Some of the leading mathematicians working in this field have contributed to this book in conjunction with ?Clifford Analysis and Related Topics: a conference in honor of Paul A.M. Dirac,? which was held at Florida State University, Tallahassee, on December 15-17, 2014. The content reflects talks given at the conference, as well as contributions from mathematicians who were invited but were unable to attend. Hence much of the mathematics presented here is not only highly topical, but also cannot be found elsewhere in print. Given its scope, the book will be of interest to mathematicians and physicists working in these areas, as well as students seeking to catch up on the latest developments. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v260 606 $aFunctions of complex variables 606 $aHarmonic analysis 606 $aFunctions of a Complex Variable$3https://scigraph.springernature.com/ontologies/product-market-codes/M12074 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 615 0$aFunctions of complex variables. 615 0$aHarmonic analysis. 615 14$aFunctions of a Complex Variable. 615 24$aAbstract Harmonic Analysis. 676 $a512.57 702 $aCerejeiras$b Paula$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNolder$b Craig A$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRyan$b John$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aVanegas Espinoza$b Carmen Judith$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300140803321 996 $aClifford Analysis and Related Topics$91564677 997 $aUNINA