LEADER 03564nam 2200733 450 001 9910821754303321 005 20180613001239.0 010 $a0-8218-7988-X 010 $a0-8218-5730-4 035 $a(CKB)3240000000069924 035 $a(EBL)3113189 035 $a(SSID)ssj0000850404 035 $a(PQKBManifestationID)11447945 035 $a(PQKBTitleCode)TC0000850404 035 $a(PQKBWorkID)10833019 035 $a(PQKB)10051374 035 $a(MiAaPQ)EBC3113189 035 $a(WaSeSS)Ind00039617 035 $a(RPAM)14191678 035 $a(PPN)197107257 035 $a(EXLCZ)993240000000069924 100 $a20051207h20062006 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 04$aThe ubiquitous heat kernel $eAMS Special Session, The Ubiquitous Heat Kernel, October 2-4, 2003, Boulder, Colorado /$fJay Jorgenson, Lynne Walling, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2006] 210 4$dİ2006 215 $a1 online resource (410 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v398 300 $aDescription based upon print version of record. 311 $a0-8218-3698-6 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Preface""; ""Positivity of zeta distributions and small unitary representations""; ""The heat equation and representations of the Jacobi group""; ""Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians""; ""The heat kernel in low-dimensional quantum theories""; ""Heat kernels on weighted manifolds and applications""; ""1. Introduction""; ""2. The Laplace operator""; ""2.1 Differential operators on manifolds""; ""2.2 Laplacian as an operator in L2""; ""2.3 Some examples""; ""2.4 Laplacian on model manifolds""; ""3. The heat kernel"" 327 $a""3.1 Heat semigroup""""3.2 Heat kernel and fundamental solutions""; ""3.3 Stochastic completeness""; ""4. Relations between different heat kernels""; ""4.1 Direct products""; ""4.2 Isometries""; ""4.3 Comparison of heat kernels""; ""4.4 Change of measure""; ""4.5 Some examples of heat kernels in R""; ""4.6 Hyperbolic spaces""; ""5. Heat kernel estimates""; ""5.1 Uniform Faber-Krahn inequality""; ""5.2 Gaussian upper bounds""; ""5.3 On-diagonal lower bounds""; ""5.4 Relative Faber-Krahn inequality""; ""5.5 On-diagonal estimates on model manifolds"" 327 $a""The heat kernel on the symmetric space SL(n, F)/SU(n, F)"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 398. 606 $aHeat equation$vCongresses 606 $aLie groups$vCongresses 606 $aJacobi forms$vCongresses 606 $aGeometry, Algebraic$vCongresses 606 $aOperator theory$vCongresses 606 $aGlobal differential geometry$vCongresses 606 $aSpectral theory (Mathematics)$vCongresses 615 0$aHeat equation 615 0$aLie groups 615 0$aJacobi forms 615 0$aGeometry, Algebraic 615 0$aOperator theory 615 0$aGlobal differential geometry 615 0$aSpectral theory (Mathematics) 676 $a515/.353 702 $aJorgenson$b Jay 702 $aWalling$b Lynne$f1958- 712 12$aAMS Special Session : The Ubiquitous Heat Kernel$f(2003 :$eBoulder, Colorado), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910821754303321 996 $aThe ubiquitous heat kernel$94062188 997 $aUNINA