LEADER 02848nam 22004575 450 001 9910349350703321 005 20200702232015.0 010 $a3-030-16409-8 024 7 $a10.1007/978-3-030-16409-6 035 $a(CKB)4100000008701441 035 $a(MiAaPQ)EBC5820934 035 $a(DE-He213)978-3-030-16409-6 035 $a(PPN)238488772 035 $a(EXLCZ)994100000008701441 100 $a20190710d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes /$fby Fabrizio Colombo, Jonathan Gantner 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (327 pages) 225 1 $aOperator Theory: Advances and Applications,$x0255-0156 ;$v274 311 $a3-030-16408-X 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Preliminary results -- The direct approach to the S-functional calculus -- The Quaternionic Evolution Operator -- Perturbations of the generator of a group -- The Phillips-functional calculus -- The H-Infinity -Functional Calculus -- Fractional powers of quaternionic linear operators -- The fractional heat equation using quaternionic techniques.-Applications to fractional diffusion- Historical notes and References -- Appendix: Principles of functional Analysis. 330 $aThis book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields. This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and Applications, Vol. 270). 410 0$aOperator Theory: Advances and Applications,$x0255-0156 ;$v274 606 $aOperator theory 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 615 0$aOperator theory. 615 14$aOperator Theory. 676 $a515.7222 700 $aColombo$b Fabrizio$4aut$4http://id.loc.gov/vocabulary/relators/aut$0511074 702 $aGantner$b Jonathan$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910349350703321 996 $aQuaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes$92513908 997 $aUNINA