The Structure of Functions
indgår i Monographs in Mathematics serien
- Indbinding:
- Hardback
- Sideantal:
- 440
- Udgivet:
- 1. august 2001
- Størrelse:
- 183x30x260 mm.
- Vægt:
- 1019 g.
- 8-11 hverdage.
- 16. januar 2025
På lager
Forlænget returret til d. 31. januar 2025
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- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
Beskrivelse af The Structure of Functions
This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book "Fractals and Spectra" (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.
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