02736nam 2200589 450 991081724270332120170822144304.01-4704-0486-9(CKB)3360000000465066(EBL)3114077(SSID)ssj0000888783(PQKBManifestationID)11478228(PQKBTitleCode)TC0000888783(PQKBWorkID)10864781(PQKB)11735504(MiAaPQ)EBC3114077(RPAM)14774057(PPN)195417712(EXLCZ)99336000000046506620150417h20072007 uy 0engur|n|---|||||txtccrAn axiomatic approach to function spaces, spectral synthesis, and Luzin approximation /Lars Inge Hedberg, Yuri NetrusovProvidence, Rhode Island :American Mathematical Society,2007.©20071 online resource (112 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 188, Number 882"Volume 188, Number 882 (third of 4 numbers)."0-8218-3983-7 Includes bibliographical references.""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""""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""Memoirs of the American Mathematical Society ;Volume 188, Number 882.Function spacesSpectral synthesis (Mathematics)Approximation theoryFunction spaces.Spectral synthesis (Mathematics)Approximation theory.515.73Hedberg Lars Inge1935-66330Netrusov YuriMiAaPQMiAaPQMiAaPQBOOK9910817242703321An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation3966635UNINA