LEADER 02997nam 2200589 450 001 996466540003316 005 20220511142533.0 010 $a3-540-77911-6 024 7 $a10.1007/978-3-540-77911-7 035 $a(CKB)1000000000546225 035 $a(SSID)ssj0000316196 035 $a(PQKBManifestationID)11275341 035 $a(PQKBTitleCode)TC0000316196 035 $a(PQKBWorkID)10274784 035 $a(PQKB)10987921 035 $a(DE-He213)978-3-540-77911-7 035 $a(MiAaPQ)EBC3063684 035 $a(MiAaPQ)EBC6708698 035 $a(Au-PeEL)EBL6708698 035 $a(PPN)130185183 035 $a(EXLCZ)991000000000546225 100 $a20220511d2008 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAlternative pseudodifferential analysis $ewith an application to modular forms /$fAndre? Unterberger 205 $a1st ed. 2008. 210 1$aBerlin, Germany :$cSpringer,$d[2008] 210 4$dİ2008 215 $a1 online resource (IX, 118 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1935 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-77910-8 320 $aIncludes bibliographical references and index. 327 $aPreface -- Introduction -- The Metaplectic and Anaplectic Representations -- The One-dimensional Alternative Pseudodifferential Analysis -- From Anaplectic Analysis to Usual Analysis -- Pseudodifferential Analysis and Modular Forms -- Index -- Bibliography. 330 $aThis volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis. Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1935 606 $aPseudodifferential operators 606 $aForms, Modular 615 0$aPseudodifferential operators. 615 0$aForms, Modular. 676 $a515.7242 700 $aUnterberger$b Andre?$0351381 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466540003316 996 $aAlternative pseudodifferential analysis$9258932 997 $aUNISA