03147nam 22006735 450 991014631630332120220407204153.03-540-45161-710.1007/BFb0103767(CKB)1000000000437277(SSID)ssj0000321845(PQKBManifestationID)11937837(PQKBTitleCode)TC0000321845(PQKBWorkID)10280307(PQKB)10182476(DE-He213)978-3-540-45161-7(MiAaPQ)EBC6287590(MiAaPQ)EBC5585400(Au-PeEL)EBL5585400(OCoLC)1066196691(PPN)155168827(EXLCZ)99100000000043727720121227d2000 u| 0engurnn#008mamaatxtccrClassical Microlocal Analysis in the Space of Hyperfunctions /by Seiichiro Wakabayashi1st ed. 2000.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2000.1 online resource (X, 370 p.)Lecture Notes in Mathematics,0075-8434 ;1737Bibliographic Level Mode of Issuance: Monograph3-540-67603-1 Hyperfunctions -- Basic calculus of fourier integral operators and pseudodifferential operators -- Analytic wave front sets and microfunctions -- Microlocal uniqueness -- Local solvability.The 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.Lecture Notes in Mathematics,0075-8434 ;1737Mathematical analysisAnalysis (Mathematics)Partial differential equationsAnalysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Mathematical analysis.Analysis (Mathematics).Partial differential equations.Analysis.Partial Differential Equations.51035A27msc35A30mscWakabayashi Seiichiroauthttp://id.loc.gov/vocabulary/relators/aut62701MiAaPQMiAaPQMiAaPQBOOK9910146316303321Classical microlocal analysis in the space of hyperfunctions78735UNINA