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UNINA9910788744503321 |
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Autore |
Hedberg Lars Inge <1935-> |
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Titolo |
An axiomatic approach to function spaces, spectral synthesis, and Luzin approximation / / Lars Inge Hedberg, Yuri Netrusov |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2007 |
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©2007 |
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ISBN |
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Descrizione fisica |
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1 online resource (112 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 188, Number 882 |
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Disciplina |
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Soggetti |
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Function spaces |
Spectral synthesis (Mathematics) |
Approximation theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 188, Number 882 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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