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The Structure of Functions [electronic resource] /
I Decompositions of Functions -- 1 Introduction, heuristics, and preliminaries -- 2 Spaces on ?n: the regular case -- 3 Spaces on ?n: the general case -- 4 An application: the Fubini property -- 5 Spaces on domains: localization and Hardy inequalities -- 6 Spaces on domains. decompositions -- 7 Spaces on manifolds -- 8 Taylor expansions of distributions -- 9 Traces on sets, related function spaces and their decompositions -- II Sharp Inequalities -- 10 Introduction: Outline of methods and results -- 11 Classical inequalities -- 12 Envelopes -- 13 The critical case -- 14 The super-critical case -- 15 The sub-critical case -- 16 Hardy inequalities -- 17 Complements -- III Fractal Elliptic Operators -- 18 Introduction -- 19 Spectral theory for the fractal Laplacian -- 20 The fractal Dirichlet problem -- 21 Spectral theory on manifolds -- 22 Isotropic fractals and related function spaces -- 23 Isotropic fractal drums -- IV Truncations and Semi-linear Equations -- 24 Introduction -- 25 Truncations -- 26 The Q-operator -- 27 Semi-linear equations; the Q-method -- References -- Symbois.
| Main Authors: | , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Basel : Birkhäuser Basel : Imprint: Birkhäuser,
2001
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| Subjects: | Mathematics., Mathematical analysis., Analysis (Mathematics)., Analysis., |
| Online Access: | http://dx.doi.org/10.1007/978-3-0348-8257-6 |
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| Summary: | I Decompositions of Functions -- 1 Introduction, heuristics, and preliminaries -- 2 Spaces on ?n: the regular case -- 3 Spaces on ?n: the general case -- 4 An application: the Fubini property -- 5 Spaces on domains: localization and Hardy inequalities -- 6 Spaces on domains. decompositions -- 7 Spaces on manifolds -- 8 Taylor expansions of distributions -- 9 Traces on sets, related function spaces and their decompositions -- II Sharp Inequalities -- 10 Introduction: Outline of methods and results -- 11 Classical inequalities -- 12 Envelopes -- 13 The critical case -- 14 The super-critical case -- 15 The sub-critical case -- 16 Hardy inequalities -- 17 Complements -- III Fractal Elliptic Operators -- 18 Introduction -- 19 Spectral theory for the fractal Laplacian -- 20 The fractal Dirichlet problem -- 21 Spectral theory on manifolds -- 22 Isotropic fractals and related function spaces -- 23 Isotropic fractal drums -- IV Truncations and Semi-linear Equations -- 24 Introduction -- 25 Truncations -- 26 The Q-operator -- 27 Semi-linear equations; the Q-method -- References -- Symbois. |
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