LEADER 02154nam 2200385 450 001 9910688212803321 005 20230629221258.0 024 7 $a10.5772/intechopen.77599 035 $a(CKB)5400000000044418 035 $a(NjHacI)995400000000044418 035 $a(EXLCZ)995400000000044418 100 $a20230629d2020 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aFunctional calculus /$fedited by Kamal Shah, Bawer Okutmus?tur 210 1$aLondon, England :$cIntechOpen,$d2020. 215 $a1 online resource (202 pages) 311 $a1-83880-904-X 330 $aThe aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book. 606 $aFunctional analysis 606 $aSpectral theory (Mathematics) 615 0$aFunctional analysis. 615 0$aSpectral theory (Mathematics) 676 $a515.7 702 $aShah$b Kamal 702 $aOkutmus?tur$b Bawer 801 0$bNjHacI 801 1$bNjHacl 906 $aBOOK 912 $a9910688212803321 996 $aFunctional Calculus$92263334 997 $aUNINA