LEADER 04117nam 22008535 450 001 9910770276503321 005 20240619155507.0 010 $a3-031-46598-9 024 7 $a10.1007/978-3-031-46598-7 035 $a(CKB)29310009700041 035 $a(MiAaPQ)EBC31005876 035 $a(Au-PeEL)EBL31005876 035 $a(DE-He213)978-3-031-46598-7 035 $a(EXLCZ)9929310009700041 100 $a20231207d2023 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalysis in Banach Spaces $eVolume III: Harmonic Analysis and Spectral Theory /$fby Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weis 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (839 pages) 225 1 $aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,$x2197-5655 ;$v76 311 08$a9783031465970 327 $a11 Singular integral operators -- 12 Dyadic operators and the T (1) theorem -- 13 The Fourier transform and multipliers -- 14 Function spaces -- 15 Bounded imaginary powers -- 16 The H?-functional calculus revisited -- 17 Maximal regularity -- 18 Nonlinear parabolic evolution equations in critical spaces -- Appendix Q: Questions -- Appendix K: Semigroup theory revisited -- Appendix L: The trace method for real interpolation theory. 330 $aThis third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations. 410 0$aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,$x2197-5655 ;$v76 606 $aFunctional analysis 606 $aFourier analysis 606 $aHarmonic analysis 606 $aOperator theory 606 $aMathematical analysis 606 $aFunctional Analysis 606 $aFourier Analysis 606 $aAbstract Harmonic Analysis 606 $aOperator Theory 606 $aAnalysis 606 $aAnàlisi harmònica$2thub 606 $aTeoria d'operadors$2thub 606 $aAnàlisi de Fourier$2thub 606 $aAnàlisi matemàtica$2thub 606 $aAnàlisi funcional$2thub 606 $aEspais de Banach$2thub 608 $aLlibres electrònics$2thub 615 0$aFunctional analysis. 615 0$aFourier analysis. 615 0$aHarmonic analysis. 615 0$aOperator theory. 615 0$aMathematical analysis. 615 14$aFunctional Analysis. 615 24$aFourier Analysis. 615 24$aAbstract Harmonic Analysis. 615 24$aOperator Theory. 615 24$aAnalysis. 615 7$aAnàlisi harmònica 615 7$aTeoria d'operadors 615 7$aAnàlisi de Fourier 615 7$aAnàlisi matemàtica 615 7$aAnàlisi funcional 615 7$aEspais de Banach 676 $a515.732 700 $aHytönen$b Tuomas$0748040 701 $avan Neerven$b Jan$01460814 701 $aVeraar$b Mark$01460815 701 $aWeis$b Lutz$065781 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910770276503321 996 $aAnalysis in Banach Spaces$93660751 997 $aUNINA