LEADER 02736nam 2200589 450 001 9910817242703321 005 20170822144304.0 010 $a1-4704-0486-9 035 $a(CKB)3360000000465066 035 $a(EBL)3114077 035 $a(SSID)ssj0000888783 035 $a(PQKBManifestationID)11478228 035 $a(PQKBTitleCode)TC0000888783 035 $a(PQKBWorkID)10864781 035 $a(PQKB)11735504 035 $a(MiAaPQ)EBC3114077 035 $a(RPAM)14774057 035 $a(PPN)195417712 035 $a(EXLCZ)993360000000465066 100 $a20150417h20072007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 13$aAn axiomatic approach to function spaces, spectral synthesis, and Luzin approximation /$fLars Inge Hedberg, Yuri Netrusov 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2007. 210 4$dİ2007 215 $a1 online resource (112 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 188, Number 882 300 $a"Volume 188, Number 882 (third of 4 numbers)." 311 $a0-8218-3983-7 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction. Notation""; ""Chapter 1. A Class of Function Spaces""; ""1.1. Definitions and Basic Properties""; ""1.2. Some Lemmas""; ""1.3. Proof of Theorem 1.1.14""; ""1.4. Some Lemmas on Orthogonalization""; ""1.5. Proof of Theorem 1.1.15""; ""1.6. Homogeneous Spaces""; ""1.7. Proof of Theorem 1.6.12""; ""1.8. Proof of Theorem 1.6.11""; ""Chapter 2. Differentiability and Spectral Synthesis""; ""2.1. Capacities and Differentials""; ""2.2. Spectral Synthesis""; ""2.3. Spectral Synthesis in Spaces of Distributions""; ""2.4. Invariant Subspaces and a Theorem of Whitney"" 327 $a""Chapter 3. Luzin Type Theorems""""3.1. Luzin Approximation of Functions""; ""3.2. Luzin Approximation of Distributions""; ""Appendix. Whitney's Approximation Theorem in L[sub(p)](R[sup(N)]), p > 0""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 188, Number 882. 606 $aFunction spaces 606 $aSpectral synthesis (Mathematics) 606 $aApproximation theory 615 0$aFunction spaces. 615 0$aSpectral synthesis (Mathematics) 615 0$aApproximation theory. 676 $a515.73 700 $aHedberg$b Lars Inge$f1935-$066330 702 $aNetrusov$b Yuri 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817242703321 996 $aAn axiomatic approach to function spaces, spectral synthesis, and Luzin approximation$93966635 997 $aUNINA