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The Structure of Functions / by Hans Triebel
(Monographs in Mathematics. ISSN:22964886 ; 97)

1st ed. 2001.
出版者 Basel : Birkhäuser Basel : Imprint: Birkhäuser
出版年 2001
本文言語 英語
大きさ XII, 425 p. 5 illus : online resource
冊子体 The structure of functions / Hans Triebel
著者標目 *Triebel, Hans author
SpringerLink (Online service)
件 名 LCSH:Mathematical analysis
FREE:Analysis
一般注記 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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ISBN 9783034882576

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