The Structure of Functions
Springer Basel (Verlag)
978-3-7643-6546-2 (ISBN)
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.
Erscheint lt. Verlag | 1.8.2001 |
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Reihe/Serie | Monographs in Mathematics |
Zusatzinfo | XII, 425 p. 5 illus. |
Verlagsort | Basel |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 2320 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Mathematik / Informatik ► Mathematik ► Analysis | |
Schlagworte | Distribution • Fractal • Fractal Geometry • Functional Analysis • spectral theory • Theory of function spaces |
ISBN-10 | 3-7643-6546-3 / 3764365463 |
ISBN-13 | 978-3-7643-6546-2 / 9783764365462 |
Zustand | Neuware |
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