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LEADER: 02331fam a2200385 a 4500
001 1956166
005 20220609034904.0
008 960104t19961996sz a b 001 0 eng
010 $a 96004282
020 $a3764352825 (Basel : acid-free paper)
020 $a0817652825 (Boston : acid-free paper)
035 $a(OCoLC)34076315
035 $a(OCoLC)ocm34076315
035 $9AMF6836CU
035 $a(NNC)1956166
035 $a1956166
040 $aDLC$cDLC$dDLC$dOrLoB-B
050 00 $aQA329.2$b.U66 1996
082 00 $a515/.7246$220
100 1 $aUpmeier, Harald,$d1950-$0http://id.loc.gov/authorities/names/n84160575
245 10 $aToeplitz operators and index theory in several complex variables /$cHarald Upmeier.
260 $aBasel ;$aBoston :$bBirkhäuser Verlag,$c[1996], ©1996.
300 $a481 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aOperator theory, advances and applications ;$vvol. 81
504 $aIncludes bibliographical references (p. 462-470) and index.
520 $aThis book gives a comprehensive treatment of Toeplitz operators arising in multivariable complex analysis. The first part describes in detail the underlying geometric structures (strongly pseudoconvex domains, Reinhardt domains, multivariable upper half-planes, symmetric domains and generalizations) as well as the harmonic analysis of the associated Hibert spaces of holomorphic functions (of Hardy or Bergman type). It is also of interest to mathematicians not primarily interested in operator theory.
520 8 $aThe second part of the book determines the structure of Toeplitz operators, their C*-algebras and index theory, using modern techniques such as groupoid C*-algebras, co-crossed products and operator K-theory.
650 0 $aToeplitz operators.$0http://id.loc.gov/authorities/subjects/sh85135783
650 0 $aIndex theory (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85064861
650 0 $aHolomorphic functions.$0http://id.loc.gov/authorities/subjects/sh85061536
650 0 $aFunctions of several complex variables.$0http://id.loc.gov/authorities/subjects/sh85052358
830 0 $aOperator theory, advances and applications ;$vv. 81.$0http://id.loc.gov/authorities/names/n42017868
852 00 $bmat$hQA329.2$i.U66 1996