LEADER 02884nam 22006495 450 001 9910146316303321 005 20250729101835.0 010 $a3-540-45161-7 024 7 $a10.1007/BFb0103767 035 $a(CKB)1000000000437277 035 $a(SSID)ssj0000321845 035 $a(PQKBManifestationID)11937837 035 $a(PQKBTitleCode)TC0000321845 035 $a(PQKBWorkID)10280307 035 $a(PQKB)10182476 035 $a(DE-He213)978-3-540-45161-7 035 $a(MiAaPQ)EBC6287590 035 $a(MiAaPQ)EBC5585400 035 $a(Au-PeEL)EBL5585400 035 $a(OCoLC)1066196691 035 $a(PPN)155168827 035 $a(EXLCZ)991000000000437277 100 $a20121227d2000 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aClassical Microlocal Analysis in the Space of Hyperfunctions /$fby Seiichiro Wakabayashi 205 $a1st ed. 2000. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000. 215 $a1 online resource (X, 370 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1737 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-67603-1 327 $aHyperfunctions -- Basic calculus of fourier integral operators and pseudodifferential operators -- Analytic wave front sets and microfunctions -- Microlocal uniqueness -- Local solvability. 330 $aThe book develops "Classical Microlocal Analysis" in the spaces of hyperfunctions and microfunctions, which makes it possible to apply the methods in the distribution category to the studies on partial differential equations in the hyperfunction category. Here "Classical Microlocal Analysis" means that it does not use "Algebraic Analysis." The main tool in the text is, in some sense, integration by parts. The studies on microlocal uniqueness, analytic hypoellipticity and local solvability are reduced to the problems to derive energy estimates (or a priori estimates). The author assumes basic understanding of theory of pseudodifferential operators in the distribution category. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1737 606 $aMathematical analysis 606 $aDifferential equations 606 $aAnalysis 606 $aDifferential Equations 615 0$aMathematical analysis. 615 0$aDifferential equations. 615 14$aAnalysis. 615 24$aDifferential Equations. 676 $a510 686 $a35A27$2msc 686 $a35A30$2msc 700 $aWakabayashi$b Seiichiro$4aut$4http://id.loc.gov/vocabulary/relators/aut$062701 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146316303321 996 $aClassical microlocal analysis in the space of hyperfunctions$978735 997 $aUNINA