000704548 000__ 02454cam\a2200457Ii\4500 000704548 001__ 704548 000704548 005__ 20230306135721.0 000704548 006__ m\\\\\o\\d\\\\\\\\ 000704548 007__ cr\un\nnnunnun 000704548 008__ 140326s2014\\\\sz\\\\\\o\\\\\000\0\eng\d 000704548 020__ $$z9783319051093 000704548 020__ $$z3319051091 000704548 020__ $$a9783319051109 $$qelectronic book 000704548 020__ $$a3319051105 $$qelectronic book 000704548 035__ $$aSP(OCoLC)ocn874852002 000704548 035__ $$aSP(OCoLC)874852002 000704548 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dYDXCP$$dDEBBG$$dGW5XE$$dE7B$$dEBLCP$$dA7U$$dCOO 000704548 049__ $$aISEA 000704548 050_4 $$aQA320 000704548 08204 $$a515.7$$223 000704548 1001_ $$aAlpay, Daniel,$$eauthor. 000704548 24510 $$aBasics of functional analysis with bicomplex Scalars, and bicomplex Schur analysis /$$cDaniel Alpay, Maria Elena Luna-Elizarraras, Michael Shapiro, Daniele C. Struppa. 000704548 264_1 $$aCham :$$bSpringer Verlag$$c2014. 000704548 300__ $$a1 online resource 000704548 336__ $$atext$$btxt$$2rdacontent 000704548 337__ $$acomputer$$bc$$2rdamedia 000704548 338__ $$aonline resource$$bcr$$2rdacarrier 000704548 4900_ $$aSpringerBriefs in mathematics 000704548 506__ $$aAccess limited to authorized users. 000704548 520__ $$aThis book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers, and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars, and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis. 000704548 588__ $$aDescription based on print version record. 000704548 650_0 $$aFunctional analysis. 000704548 650_0 $$aFunctions of complex variables. 000704548 7001_ $$aLuna-Elizarraras, Maria Elena,$$eauthor. 000704548 7001_ $$aShapiro, Michael,$$eauthor. 000704548 7001_ $$aStruppa, Daniele Carlo,$$d1955-,$$eauthor. 000704548 77608 $$iPrint version:$$tBasics of Functional Analysis With Bicomplex Scalars, and Bicomplex Schur Analysis$$z9783319051093$$w(OCoLC)869774612 000704548 85280 $$bebk$$hSpringerLink 000704548 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-05110-9$$zOnline Access 000704548 909CO $$ooai:library.usi.edu:704548$$pGLOBAL_SET 000704548 980__ $$aEBOOK 000704548 980__ $$aBIB 000704548 982__ $$aEbook 000704548 983__ $$aOnline 000704548 994__ $$a92$$bISE