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AuthorTriebel, Hans. author
TitleThe Structure of Functions [electronic resource] / by Hans Triebel
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2001
Connect tohttp://dx.doi.org/10.1007/978-3-0348-8257-6
Descript XII, 425 p. 5 illus. online resource

CONTENT

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


Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis



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