LEADER 03435nam  2200685   450 
001 9910464867903321
005 20210518000110.0
010   $a1-4008-5275-7
024 7 $a10.1515/9781400852758
035   $a(CKB)3710000000117129
035   $a(EBL)1689376
035   $a(OCoLC)881165593
035   $a(SSID)ssj0001227662
035   $a(PQKBManifestationID)11790744
035   $a(PQKBTitleCode)TC0001227662
035   $a(PQKBWorkID)11281920
035   $a(PQKB)10255510
035   $a(MiAaPQ)EBC1689376
035   $a(StDuBDS)EDZ0000977498
035   $a(DE-B1597)447457
035   $a(OCoLC)881286436
035   $a(OCoLC)979911043
035   $a(DE-B1597)9781400852758
035   $a(Au-PeEL)EBL1689376
035   $a(CaPaEBR)ebr10876760
035   $a(CaONFJC)MIL613648
035   $a(EXLCZ)993710000000117129
100   $a20140615h20142014  uy             0
101 0 $aeng
135   $aur|n#---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aMulti-parameter singular integrals /$fBrian Street
205   $aCourse Book
210  1$aPrinceton, New Jersey ;$aOxfordshire, England :$cPrinceton University Press,$d2014.
210  4$d©2014
215   $a1 online resource (412 p.)
225 1 $aAnnals of Mathematics Studies ;$vNumber 189
300   $aDescription based upon print version of record.
311 0 $a0-691-16251-4 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tContents --$tPreface --$t1. The Calderón-Zygmund Theory I: Ellipticity --$t2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity --$t3. Multi-parameter Carnot-Carathéodory Geometry --$t4. Multi-parameter Singular Integrals I: Examples --$t5. Multi-parameter Singular Integrals II: General Theory --$tAppendix A. Functional Analysis --$tAppendix B. Three Results from Calculus --$tAppendix C. Notation --$tBibliography --$tIndex
330   $aThis book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.
410  0$aAnnals of mathematics studies ;$vNumber 189.
606   $aSingular integrals
606   $aTransformations (Mathematics)
608   $aElectronic books.
615  0$aSingular integrals.
615  0$aTransformations (Mathematics)
676   $a515/.98
686   $aSI 830$2rvk
700   $aStreet$b Brian$0175382
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910464867903321
996   $aMulti-parameter singular integrals$92477229
997   $aUNINA